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Abdelshafy M, Rigol M. L-based numerical linked cluster expansion for square lattice models. Phys Rev E 2023; 108:034126. [PMID: 37849211 DOI: 10.1103/physreve.108.034126] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2023] [Accepted: 09/13/2023] [Indexed: 10/19/2023]
Abstract
We introduce a numerical linked cluster expansion for square-lattice models whose building block is an L-shape cluster. For the spin-1/2 models studied in this work, we find that this expansion exhibits a similar or better convergence of the bare sums than that of the (larger) square-shaped clusters and can be used with resummation techniques (like the site- and bond-based expansions) to obtain results at even lower temperatures. We compare the performance of weak- and strong-embedding versions of this expansion in various spin-1/2 models and show that the strong-embedding version is preferable because of its convergence properties and lower computational cost. Finally, we show that the expansion based on the L-shape cluster can be naturally used to study properties of lattice models that smoothly connect the square and triangular lattice geometries.
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Affiliation(s)
- Mahmoud Abdelshafy
- Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
| | - Marcos Rigol
- Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
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2
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Vyazovskaya AY, Petrov EK, Koroteev YM, Bosnar M, Silkin IV, Chulkov EV, Otrokov MM. Superlattices of Gadolinium and Bismuth Based Thallium Dichalcogenides as Potential Magnetic Topological Insulators. NANOMATERIALS (BASEL, SWITZERLAND) 2022; 13:38. [PMID: 36615948 PMCID: PMC9824305 DOI: 10.3390/nano13010038] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/21/2022] [Revised: 12/17/2022] [Accepted: 12/17/2022] [Indexed: 06/17/2023]
Abstract
Using relativistic spin-polarized density functional theory calculations we investigate magnetism, electronic structure and topology of the ternary thallium gadolinium dichalcogenides TlGdZ2 (Z= Se and Te) as well as superlattices on their basis. We find TlGdZ2 to have an antiferromagnetic exchange coupling both within and between the Gd layers, which leads to frustration and a complex magnetic structure. The electronic structure calculations reveal both TlGdSe2 and TlGdTe2 to be topologically trivial semiconductors. However, as we show further, a three-dimensional (3D) magnetic topological insulator (TI) state can potentially be achieved by constructing superlattices of the TlGdZ2/(TlBiZ2)n type, in which structural units of TlGdZ2 are alternated with those of the isomorphic TlBiZ2 compounds, known to be non-magnetic 3D TIs. Our results suggest a new approach for achieving 3D magnetic TI phases in such superlattices which is applicable to a large family of thallium rare-earth dichalcogenides and is expected to yield a fertile and tunable playground for exotic topological physics.
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Affiliation(s)
- Alexandra Yu. Vyazovskaya
- Laboratory of Nanostructured Surfaces and Coatings, Tomsk State University, Tomsk 634050, Russia
- Laboratory of Electronic and Spin Structure of Nanosystems, St. Petersburg State University, St. Petersburg 198504, Russia
| | - Evgeniy K. Petrov
- Laboratory of Nanostructured Surfaces and Coatings, Tomsk State University, Tomsk 634050, Russia
- Laboratory of Electronic and Spin Structure of Nanosystems, St. Petersburg State University, St. Petersburg 198504, Russia
| | - Yury M. Koroteev
- Laboratory of Electronic and Spin Structure of Nanosystems, St. Petersburg State University, St. Petersburg 198504, Russia
- Institute of Strength Physics and Materials Science, Tomsk 634021, Russia
| | - Mihovil Bosnar
- Donostia International Physics Center (DIPC), 20018 Donostia-San Sebastián, Basque Country, Spain
- Departamento de Polímeros y Materiales Avanzados: Física, Química y Tecnología, Facultad de Ciencias Químicas, Universidad del País Vasco UPV/EHU, 20080 Donostia-San Sebastián, Basque Country, Spain
| | - Igor V. Silkin
- Laboratory of Nanostructured Surfaces and Coatings, Tomsk State University, Tomsk 634050, Russia
| | - Evgueni V. Chulkov
- Laboratory of Electronic and Spin Structure of Nanosystems, St. Petersburg State University, St. Petersburg 198504, Russia
- Donostia International Physics Center (DIPC), 20018 Donostia-San Sebastián, Basque Country, Spain
- Departamento de Polímeros y Materiales Avanzados: Física, Química y Tecnología, Facultad de Ciencias Químicas, Universidad del País Vasco UPV/EHU, 20080 Donostia-San Sebastián, Basque Country, Spain
| | - Mikhail M. Otrokov
- Centro de Física de Materiales (CFM-MPC), Centro Mixto CSIC-UPV/EHU, 20018 Donostia-San Sebastián, Basque Country, Spain
- IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Basque Country, Spain
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Lach M, Žukovič M. Phase diagrams of the antiferromagnetic XY model on a triangular lattice with higher-order interactions. Phys Rev E 2021; 104:024134. [PMID: 34525557 DOI: 10.1103/physreve.104.024134] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/05/2021] [Accepted: 08/09/2021] [Indexed: 11/07/2022]
Abstract
We study the effects of higher-order antinematic interactions on the critical behavior of the antiferromagnetic (AFM) XY model on a triangular lattice using Monte Carlo simulations. The parameter q of the generalized antinematic (ANq) interaction is found to have a pronounced effect on the phase diagram topology by inducing new quasi-long-range ordered phases due to competition with the conventional AFM interaction as well as geometrical frustration. For values of q divisible by 3, the ground-state competition between the two interactions results in a frustrated canted AFM phase appearing at low temperatures wedged between the AFM and ANq phases. For q nondivisible by 3, with the increase of q one can observe the evolution of the phase diagram topology featuring two (q=2), three (q=4,5), and four (q≥7) ordered phases. In addition to the two phases previously found for q=2, the first new phase with solely AFM ordering arises for q=4 in the limit of strong AFM coupling and higher temperatures by separating from the phase with the coexisting AFM and ANq orderings. For q=7, another phase with AFM ordering but multimodal spin distribution in each sublattice appears at intermediate temperatures. All these algebraic phases also display standard and generalized chiral long-range orderings, which decouple at higher temperatures in the regime of dominant ANq (AFM) interaction for q≥4 (q≥7) preserving only the generalized (standard) chiral ordering.
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Affiliation(s)
- M Lach
- Department of Theoretical Physics and Astrophysics, Institute of Physics, Faculty of Science, Pavol Jozef Šafárik University in Košice, Park Angelinum 9, 041 54 Košice, Slovak Republic
| | - M Žukovič
- Department of Theoretical Physics and Astrophysics, Institute of Physics, Faculty of Science, Pavol Jozef Šafárik University in Košice, Park Angelinum 9, 041 54 Košice, Slovak Republic
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4
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Lach M, Žukovič M. New ordered phase in geometrically frustrated generalized XY model. Phys Rev E 2020; 102:032113. [PMID: 33075973 DOI: 10.1103/physreve.102.032113] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/17/2020] [Accepted: 08/25/2020] [Indexed: 06/11/2023]
Abstract
Critical properties of a geometrically frustrated generalized XY model with antiferromagnetic (AFM) and third-order antinematic (AN3) couplings on a triangular lattice are studied by Monte Carlo simulation. It is found that such a generalization leads to a phase diagram consisting of three different quasi-long-range ordered (QLRO) phases. Compared to the model with the second-order antinematic (AN2) coupling, besides the AFM and AN3 phases which appear in the limits of relatively strong AFM and AN3 interactions, respectively, it includes an additional complex canted antiferromagnetic (CAFM) phase. It emerges at lower temperatures, wedged between the AFM and AN3 phases as a result of the competition between the AFM and the AN3 couplings, which is absent in the model with the AN2 coupling. The AFM-CAFM and AN3-CAFM phase transitions are concluded to belong to the weak Ising and weak three-state Potts universality classes, respectively. Additionally, all three QLRO phases also feature true LRO of the standard and generalized chiralities, which both vanish simultaneously at second-order phase transitions with non-Ising critical exponents and the critical temperatures slightly higher than the magnetic and nematic order-disorder transition temperatures.
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Affiliation(s)
- M Lach
- Institute of Physics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 041 54 Košice, Slovakia
| | - M Žukovič
- Institute of Physics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 041 54 Košice, Slovakia
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Li M, Plumer ML, Quirion G. Effects of interlayer and bi-quadratic exchange coupling on layered triangular lattice antiferromagnets. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:135803. [PMID: 31801115 DOI: 10.1088/1361-648x/ab5ea6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
The magnetic field evolution of ground spin states of the stacked planar triangular antiferromagnet with antiferromagnetic interlayer interaction J c is explored using a minimal 3D classical Heisenberg model. A bi-quadratic coupling is also used to mimic the effect of spin fluctuations (Zhitomirsky 2015 J. Phys.: Conf. Ser. 592 012110) which are known to stabilize the magnetization plateau. A single ion anisotropy is included and states with a magnetic field applied in the ab plane and along the c axis are determined. For [Formula: see text]-plane, an additional new state, in contrast to 2D model (Zhitomirsky 2015 J. Phys.: Conf. Ser. 592 012110), is obtained with weak interlayer interaction, while the magnetization plateau vanishes at large J c and other new states with z components of spins emerge. For [Formula: see text]-axis, an extra state, compared with 2D model, is obtained with a weak interlayer interaction. When J c is large enough, only the state corresponding to the Umbrella phase in 2D model exits.
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Affiliation(s)
- M Li
- Department of Physics and Physical Oceanography, Memorial University, St. John's, Newfoundland A1B 3X7, Canada
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Faghihi N, Mkhonta S, Elder K, Grant M. Phase-field crystal for an antiferromagnet with elastic interactions. Phys Rev E 2019; 100:022128. [PMID: 31574615 DOI: 10.1103/physreve.100.022128] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/08/2019] [Indexed: 11/07/2022]
Abstract
We introduce a model which contains the essential elements to formulate and study antiferromagnetism, using the phase-field crystal framework. We focus on the question of how magneto-elastic coupling could lift the frustration in the two-dimensional hexagonal antiferromagnetic phase. Using simulations we observe a rich variety of different phases stable in this model. To characterize different phases we calculate the chiral order parameter and identify the scaling behavior of this order parameter. Furthermore, we observe that vortices appear and are stable close to the nonmagnetic defects. Finally, we studied the ferrimagnetic and spin-flop phase transition in the presence of an external magnetic field.
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Affiliation(s)
- Niloufar Faghihi
- Physics Department, Rutherford Building, 3600 rue University, McGill University, Montréal, Québec, Canada H3A 2T8
| | - Simiso Mkhonta
- Department of Physics, University of Swaziland, Private Bag 4, Kwaluseni M201, Swaziland
| | - Ken Elder
- Department of Physics, Oakland University, Rochester, Michigan 48309, USA
| | - Martin Grant
- Physics Department, Rutherford Building, 3600 rue University, McGill University, Montréal, Québec, Canada H3A 2T8
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Abdul Wasey AHM, Karmakar D, Das GP. Manifestation of long-range ordered state in layered VX2 (X = Cl, Br, I) systems. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2013; 25:476001. [PMID: 24166978 DOI: 10.1088/0953-8984/25/47/476001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
We report the first-principles based density functional investigation of correlated magnetic behavior for the layered VX2 (X = Cl, Br, I) system both in bulk and monolayer forms. The bulk system stabilizes in the Néel 120° spin structure with the onset of long-range order at a very low temperature. However, a monolayer of the same system results in a two-dimensional long-range ordered spin-gel configuration in the a-b plane. The occurrence of this two-dimensional non-collinear long-range order for such hexagonal systems with honeycomb topology may provide an additional feature for controlling the use of such materials in magnetic memory devices.
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Affiliation(s)
- A H M Abdul Wasey
- Department of Materials Science, Indian Association for the Cultivation of Science, Kolkata-700032, India
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Gvozdikova MV, Melchy PE, Zhitomirsky ME. Magnetic phase diagrams of classical triangular and kagome antiferromagnets. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2011; 23:164209. [PMID: 21471626 DOI: 10.1088/0953-8984/23/16/164209] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
We investigate the effect of geometrical frustration on the H-T phase diagrams of the classical Heisenberg antiferromagnets on triangular and kagome lattices. The phase diagrams for the two models are obtained from large-scale Monte Carlo simulations. For the kagome antiferromagnet, thermal fluctuations are unable to lift degeneracy completely and stabilize translationally disordered multipolar phases. We find a substantial difference in the temperature scales of the order by disorder effect related to different degeneracy of the low- and the high-field classical ground states in the kagome antiferromagnet. In the low-field regime, the Kosterlitz-Thouless transition into a spin-nematic phase is produced by unbinding of half-quantum vortices.
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Affiliation(s)
- M V Gvozdikova
- Department of Physics, Kharkov National University, 61077 Kharkov, Ukraine
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9
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Giver M, Jabeen Z, Chakraborty B. Phase and frequency entrainment in locally coupled phase oscillators with repulsive interactions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 83:046206. [PMID: 21599269 DOI: 10.1103/physreve.83.046206] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/07/2010] [Revised: 01/28/2011] [Indexed: 05/30/2023]
Abstract
Recent experiments in one- and two-dimensional microfluidic arrays of droplets containing Belousov-Zhabotinsky reactants show a rich variety of spatial patterns [M. Toiya et al., J. Phys. Chem. Lett. 1, 1241 (2010)]. The dominant coupling between these droplets is inhibitory. Motivated by this experimental system, we study repulsively coupled Kuramoto oscillators with nearest-neighbor interactions, on a linear chain as well as a ring in one dimension, and on a triangular lattice in two dimensions. In one dimension, we show using linear stability analysis as well as numerical study that the stable phase patterns depend on the geometry of the lattice. We show that a transition to the ordered state does not exist in the thermodynamic limit. In two dimensions, we show that the geometry of the lattice constrains the phase difference between two neighboring oscillators to 2π/3. We report the existence of domains with either clockwise or anticlockwise helicity, leading to defects in the lattice. We study the time dependence of these domains and show that at large coupling strengths the domains freeze due to frequency synchronization. Signatures of the above phenomena can be seen in the spatial correlation functions.
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Affiliation(s)
- Michael Giver
- Martin A. Fisher School of Physics, Brandeis University, Waltham, Massachusetts, USA
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10
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Hafner J. Ab-initiosimulations of materials using VASP: Density-functional theory and beyond. J Comput Chem 2008; 29:2044-78. [DOI: 10.1002/jcc.21057] [Citation(s) in RCA: 1810] [Impact Index Per Article: 113.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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11
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12
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Binder K, Landau DP. Monte Carlo Calculations on Phase Transitions in Adsorbed Layers. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470141250.ch3] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
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13
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Gaulin BD. Magnetic materials: the texture of frustrated magnets. NATURE MATERIALS 2005; 4:269-70. [PMID: 15875302 DOI: 10.1038/nmat1357] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/02/2023]
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14
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Jiang Y, Emig T. String picture for a model of frustrated quantum magnets and dimers. PHYSICAL REVIEW LETTERS 2005; 94:110604. [PMID: 15903840 DOI: 10.1103/physrevlett.94.110604] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/04/2004] [Indexed: 05/02/2023]
Abstract
We study the effect of quantum dynamics on geometrically frustrated magnets for a transverse field Ising model at finite temperatures. We develop a microscopic derivation of the Landau-Ginzburg-Wilson action for this model and show that it can be interpreted as the free energy of a 3D elastic lattice of noncrossing strings. As a first application, we quantitatively predict the phase diagram and correlations, confirming excellently a key prediction of recent simulations about the existence of unusual phase transitions and an ordered phase. We discuss the implications of our string picture for the understanding of the effect of quenched disorder in such quantum frustrated systems.
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Affiliation(s)
- Ying Jiang
- Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany
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15
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Wynveen A, Lee DJ, Kornyshev AA. Statistical mechanics of columnar DNA assemblies. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2005; 16:303-318. [PMID: 15696271 DOI: 10.1140/epje/i2004-10087-y] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/01/2004] [Accepted: 01/06/2005] [Indexed: 05/24/2023]
Abstract
Many physical systems can be mapped onto solved or "solvable" models of magnetism. In this work, we have mapped the statistical mechanics of columnar phases of ideally helical rigid DNA--subject to the earlier found unusual, frustrated pair potential (A.A. Kornyshev, S. Leikin, J. Chem. Phys. 107, 3656 (1997))--onto an exotic, unknown variant of the XY model on a fixed or restructurable lattice. Here, the role of the "spin" is played by the azimuthal orientation of the molecules. We have solved this model using a Hartree-Fock approximation, ground-state calculations, and finite-temperature Monte Carlo simulations. We have found peculiar spin order transitions, which may also be accompanied by positional restructuring, from hexagonal to rhombohedric lattices. Some of these have been experimentally observed in dense columnar aggregates. Note that DNA columnar phases are of great interest in biophysical research, not only because they are a useful in vitro tool for the study of DNA condensation, but also since these structures have been detected in living matter. Within the approximations made, our study provides insight into the statistical mechanics of these systems.
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Affiliation(s)
- A Wynveen
- Department of Chemistry, Imperial College London, SW7 2AZ London, UK.
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Surungan T, Okabe Y, Tomita Y. Study of the fully frustrated clock model using the Wang–Landau algorithm. ACTA ACUST UNITED AC 2004. [DOI: 10.1088/0305-4470/37/14/003] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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17
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Noh JD, Rieger H, Enderle M, Knorr K. Critical behavior of the frustrated antiferromagnetic six-state clock model on a triangular lattice. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002; 66:026111. [PMID: 12241241 DOI: 10.1103/physreve.66.026111] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/03/2002] [Indexed: 05/23/2023]
Abstract
We study the antiferromagnetic six-state clock model with nearest neighbor interactions on a triangular lattice with extensive Monte Carlo simulations. We find clear indications of two phase transitions at two different temperatures: Below T(I) a chirality order sets in and by a thorough finite-size-scaling analysis of the specific heat and the chirality correlation length we show that this transition is in the Ising universality class (with a nonvanishing chirality order parameter below T(I)). At T(KT) (<T(I)) the spin-spin correlation length as well as the spin susceptibility diverges according to a Kosterlitz-Thouless (KT) form and spin correlations decay algebraically below T(KT). We compare our results to recent x-ray diffraction experiments on the orientational ordering of CF3Br monolayers physisorbed on graphite. We argue that the six-state clock model describes the universal feature of the phase transition in the experimental system and that the orientational ordering belongs to the KT universality class.
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Affiliation(s)
- J D Noh
- Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany
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Hébert M, Plumer ML. Thermal phase diagram of a model Hamiltonian for columnar phases of liquid crystals. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 54:550-558. [PMID: 9965099 DOI: 10.1103/physreve.54.550] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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20
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Hébert M, Caillé A. Ground-state phase diagram of the ordered columnar phases of liquid-crystal materials. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 53:1714-1724. [PMID: 9964431 DOI: 10.1103/physreve.53.1714] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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21
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Olsson P. Two phase transitions in the fully frustrated XY model. PHYSICAL REVIEW LETTERS 1995; 75:2758-2761. [PMID: 10059397 DOI: 10.1103/physrevlett.75.2758] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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22
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Ohyama T, Jacobs AE. Incommensurate state of CsCuCl3 in a transverse magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:4389-4395. [PMID: 9981570 DOI: 10.1103/physrevb.52.4389] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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23
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Zhitomirsky ME, Petrenko OA, Prozorova LA. Magnetic transitions in triangular antiferromagnets with distorted exchange structure. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:3511-3520. [PMID: 9981474 DOI: 10.1103/physrevb.52.3511] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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24
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Rastelli E, Tassi A. Spin configurations of ABX3 antiferromagnets in an external magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:16475-16484. [PMID: 9976036 DOI: 10.1103/physrevb.50.16475] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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25
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Plumer ML, Mailhot A. Tricritical behavior of the frustrated XY antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:16113-16116. [PMID: 9975992 DOI: 10.1103/physrevb.50.16113] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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26
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Lee JR, Teitel S. Driven diffusion in the two-dimensional lattice Coulomb gas: A model for flux flow in superconducting networks. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:3149-3157. [PMID: 9976563 DOI: 10.1103/physrevb.50.3149] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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27
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Plumer ML, Mailhot A, Caillé A. Magnetic phase diagram of the ferromagnetically stacked triangular XY antiferromagnet: A finite-size scaling study. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:15133-15138. [PMID: 10010621 DOI: 10.1103/physrevb.49.15133] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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28
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Ramirez-Santiago G, José JV. Critical exponents of the fully frustrated two-dimensional XY model. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:9567-9582. [PMID: 10009755 DOI: 10.1103/physrevb.49.9567] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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29
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Rastelli E, Tassi A. Hexagonal spin lattice with ferromagnetic intrachain and antiferromagnetic interchain couplings in an external magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:9679-9687. [PMID: 10009768 DOI: 10.1103/physrevb.49.9679] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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30
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Lee JR. Phase transitions in the two-dimensional classical lattice Coulomb gas of half-integer charges. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:3317-3321. [PMID: 10011193 DOI: 10.1103/physrevb.49.3317] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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31
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Zhang W, Saslow WM, Gabay M, Benakli M. Three generalizations of the fully frustrated triangular XY model. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:10204-10216. [PMID: 10007296 DOI: 10.1103/physrevb.48.10204] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Granato E, Nightingale MP. Chiral exponents of the square-lattice frustrated XY model: A Monte Carlo transfer-matrix calculation. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:7438-7444. [PMID: 10006910 DOI: 10.1103/physrevb.48.7438] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Heinilä MT, Oja AS. Selection of the ground state in type-I fcc antiferromagnets in an external magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:7227-7237. [PMID: 10006892 DOI: 10.1103/physrevb.48.7227] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Plumer ML, Mailhot A, Caillé A. Magnetic-field-induced first-order transition in the frustrated XY model on a stacked triangular lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:3840-3843. [PMID: 10008833 DOI: 10.1103/physrevb.48.3840] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Li YH, Teitel S. Vortex-line fluctuations in model high-temperature superconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:359-372. [PMID: 10004453 DOI: 10.1103/physrevb.47.359] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Saul L. Renormalization group for canted magnets. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:13847-13851. [PMID: 10003447 DOI: 10.1103/physrevb.46.13847] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lee JR, Teitel S. Phase transitions in classical two-dimensional lattice Coulomb gases. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:3247-3262. [PMID: 10004040 DOI: 10.1103/physrevb.46.3247] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Saslow WM, Gabay M, Zhang W. "Spiraling" algorithm: Collective Monte Carlo trial and self-determined boundary conditions for incommensurate spin systems. PHYSICAL REVIEW LETTERS 1992; 68:3627-3630. [PMID: 10045752 DOI: 10.1103/physrevlett.68.3627] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Rastelli E, Tassi A, Pimpinelli A, Sedazzari S. Triangular planar antiferromagnet in an external magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:7936-7944. [PMID: 10000601 DOI: 10.1103/physrevb.45.7936] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Fernández JF, Puma M, Angulo RF. Critical behavior of a fully frustrated classical XY model in two dimensions. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:10057-10065. [PMID: 9999008 DOI: 10.1103/physrevb.44.10057] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wu R, Freeman AJ. Antiferromagnetic ordering of Fe/Ru(0001). PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:4449-4454. [PMID: 10000097 DOI: 10.1103/physrevb.44.4449] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lee J, Granato E, Kosterlitz JM. Nonuniversal critical behavior and first-order transitions in a coupled XY-Ising model. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:4819-4831. [PMID: 9998288 DOI: 10.1103/physrevb.44.4819] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zhang W, Saslow WM, Gabay M. Row generalization of the fully frustrated triangular XY model. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:5129-5131. [PMID: 9998322 DOI: 10.1103/physrevb.44.5129] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lee J, Kosterlitz JM, Granato E. Monte Carlo study of frustrated XY models on a triangular and square lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:11531-11534. [PMID: 9996920 DOI: 10.1103/physrevb.43.11531] [Citation(s) in RCA: 49] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Parker G, Saslow WM, Gabay M. Phase diagram for a generalized fully frustrated triangular XY model. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:11285-11293. [PMID: 9996865 DOI: 10.1103/physrevb.43.11285] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Granato E, Kosterlitz JM, Lee J, Nightingale MP. Phase transitions in coupled XY-Ising systems. PHYSICAL REVIEW LETTERS 1991; 66:1090-1093. [PMID: 10043993 DOI: 10.1103/physrevlett.66.1090] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Leung PW, Henley CL. Percolation properties of the Wolff clusters in planar triangular spin models. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:752-759. [PMID: 9996268 DOI: 10.1103/physrevb.43.752] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Plumer ML, Caillé A. Magnetic phase diagrams of the antiferromagnetic planar model on a stacked triangular lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:10388-10396. [PMID: 9995300 DOI: 10.1103/physrevb.42.10388] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Thijssen JM, Knops HJ. Monte Carlo transfer-matrix study of the frustrated XY model. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:2438-2444. [PMID: 9995693 DOI: 10.1103/physrevb.42.2438] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lerch P, Leemann C, Theron R, Martinoli P. Dynamics of the phase transition in proximity-effect arrays of Josephson junctions at full frustration. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:11579-11582. [PMID: 9993582 DOI: 10.1103/physrevb.41.11579] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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