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Zhang LC, Zhang L, Qin G, Zheng QR, Hu M, Yan QB, Su G. Two-dimensional magnetic metal-organic frameworks with the Shastry-Sutherland lattice. Chem Sci 2019; 10:10381-10387. [PMID: 32110327 PMCID: PMC6988603 DOI: 10.1039/c9sc03816g] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2019] [Accepted: 09/24/2019] [Indexed: 01/05/2023] Open
Abstract
Mn-PBP is discovered to be the first ferromagnetic 2D MOF with the Shastry-Sutherland lattice and the predicted Curie temperature is 105 K.
Inspired by the successful synthesis of Fe/Cu-5,5′-bis(4-pyridyl)(2,2′-bipirimidine) (PBP), a family of two-dimensional (2D) metal–organic frameworks (MOFs) with the Shastry-Sutherland lattice, i.e., transition metal (TM)-PBP (TM = Cr, Mn, Fe, Co, Ni, Cu, Zn) has been systematically investigated by means of first-principles density functional theory calculations and Monte Carlo simulations. Mn-PBP is discovered to be the first ferromagnetic 2D MOF with the Shastry-Sutherland lattice and the Curie temperature is predicted to be about 105 K, while Fe-PBP, TM-PBP (TM = Cr, Co, Ni) and TM-PBP (TM = Cu, Zn) are found to be stripe-order antiferromagnetic, magnetic-dimerized and nonmagnetic, respectively. The electronic structure calculations reveal that TM-PBP MOFs are semiconductors with band gaps ranging from 0.12 eV to 0.85 eV, which could be easily modulated by various methods. Particularly, Mn-PBP would exhibit half-metallic behavior under compressive strain or appropriate electron/hole doping and a Mn-PBP based spintronic device has been proposed. This study not only improves the understanding of the geometric, electronic and magnetic properties of the 2D TM-PBP MOF family, but also provides a novel spin lattice playground for the research of 2D magnetic systems, which has diverse modulating possibilities and rich potential applications.
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Affiliation(s)
- Li-Chuan Zhang
- Center of Materials Science and Optoelectronics Engineering , College of Materials Science and Opto-Electronic Technology , University of Chinese Academy of Sciences , Beijing 100049 , China . .,Peter Grünberg Institut and Institute for Advanced Simulation , Forschungszentrum Jülich , JARA , 52425 Jülich , Germany.,Department of Physics , RWTH Aachen University , 52056 Aachen , Germany
| | - Lizhi Zhang
- Department of Physics and Astronomy , University of Tennessee , Knoxville , Tennessee 37916 , USA
| | - Guangzhao Qin
- Department of Mechanical Engineering , University of South Carolina , Columbia , SC 29208 , USA .
| | - Qing-Rong Zheng
- School of Physics , University of Chinese Academy of Sciences , Beijing 100049 , China
| | - Ming Hu
- Department of Mechanical Engineering , University of South Carolina , Columbia , SC 29208 , USA .
| | - Qing-Bo Yan
- Center of Materials Science and Optoelectronics Engineering , College of Materials Science and Opto-Electronic Technology , University of Chinese Academy of Sciences , Beijing 100049 , China .
| | - Gang Su
- School of Physics , University of Chinese Academy of Sciences , Beijing 100049 , China.,CAS Center for Excellence in Topological Quantum Computation , Kavli Institute for Theoretical Sciences , University of Chinese Academy of Sciences , Beijing 100190 , China .
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Shi Z, Steinhardt W, Graf D, Corboz P, Weickert F, Harrison N, Jaime M, Marjerrison C, Dabkowska HA, Mila F, Haravifard S. Emergent bound states and impurity pairs in chemically doped Shastry-Sutherland system. Nat Commun 2019; 10:2439. [PMID: 31164637 PMCID: PMC6547672 DOI: 10.1038/s41467-019-10410-x] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/14/2018] [Accepted: 05/09/2019] [Indexed: 11/17/2022] Open
Abstract
Impurities often play a defining role in the ground states of frustrated quantum magnets. Studies of their effects are crucial in understanding of the phase diagram in these materials. SrCu2(BO3)2, an experimental realization of the Shastry-Sutherland (SS) lattice, provides a unique model system for such studies using both experimental and numerical approaches. Here we report effects of impurities on the crystals of bound states, and doping-induced emergent ground states in Mg-doped SrCu2(BO3)2, which remain stable in high magnetic fields. Using four complementary magnetometry techniques and theoretical simulations, a rich impurity-induced phenomenology at high fields is discovered. The results demonstrate a rare example in which even a small doping concentration interacts strongly with both triplets and bound states of triplets, and thus plays a significant role in the magnetization process even at high magnetic fields. Our findings provide insights into the study of impurity effects in geometrically frustrated quantum magnets. Exploring the impurity-induced phenomena facilitates the understanding of emergent quantum materials. Here the authors show the anomalous magnetization transitions as well as demonstrate the relation between the impurities and the excited spin states in the Mg doped Shastry-Sutherland compound SrCu2(BO3)2.
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Affiliation(s)
- Zhenzhong Shi
- Department of Physics, Duke University, Durham, NC, 27708, USA
| | | | - David Graf
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL, 32310, USA
| | - Philippe Corboz
- Institute for Theoretical Physics and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH, Amsterdam, The Netherlands
| | - Franziska Weickert
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL, 32310, USA
| | - Neil Harrison
- National High Magnetic Field Laboratory, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA
| | - Marcelo Jaime
- National High Magnetic Field Laboratory, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA
| | | | - Hanna A Dabkowska
- Brockhouse Institute for Material Research, McMaster University, Hamilton, Ontario, L8S 4M1, Canada
| | - Frédéric Mila
- Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015, Lausanne, Switzerland
| | - Sara Haravifard
- Department of Physics, Duke University, Durham, NC, 27708, USA. .,Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, 27708, USA.
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3
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Trinh J, Mitra S, Panagopoulos C, Kong T, Canfield PC, Ramirez AP. Degeneracy of the 1/8 Plateau and Antiferromagnetic Phases in the Shastry-Sutherland Magnet TmB_{4}. PHYSICAL REVIEW LETTERS 2018; 121:167203. [PMID: 30387620 DOI: 10.1103/physrevlett.121.167203] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/26/2017] [Indexed: 06/08/2023]
Abstract
The 1/8 fractional plateau phase (1/8 FPP) in Shastry-Sutherland lattice (SSL) spin systems has been viewed an exemplar of emergence on an Archimedean lattice. Here we explore this phase in the Ising magnet TmB_{4} using high-resolution specific heat (C) and magnetization (M) in the field-temperature plane. We show that the 1/8 FPP is smoothly connected to the antiferromagnetic phase on ramping the field from H=0. Thus, the 1/8 FPP is not a distinct thermodynamic ground state of TmB_{4}. The implication of these results for Heisenberg spins on the SSL is discussed.
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Affiliation(s)
- Jennifer Trinh
- University of California Santa Cruz, Santa Cruz, California 95064, USA
| | - Sreemanta Mitra
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore
| | - Christos Panagopoulos
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore
| | - Tai Kong
- Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Paul C Canfield
- Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Arthur P Ramirez
- University of California Santa Cruz, Santa Cruz, California 95064, USA
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Wang Z, Batista CD. Dynamics and Instabilities of the Shastry-Sutherland Model. PHYSICAL REVIEW LETTERS 2018; 120:247201. [PMID: 29956985 DOI: 10.1103/physrevlett.120.247201] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/26/2018] [Indexed: 06/08/2023]
Abstract
We study the excitation spectrum in the dimer phase of the Shastry-Sutherland model by using an unbiased variational method that works in the thermodynamic limit. The method outputs dynamical correlation functions in all possible channels. This output is exploited to identify the order parameters with the highest susceptibility (single or multitriplon condensation in a specific channel) upon approaching a quantum phase transition in the magnetic field versus the J^{'}/J phase diagram. We find four different instabilities: antiferro spin nematic, plaquette spin nematic, stripe magnetic order, and plaquette order, two of which have been reported in previous studies.
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Affiliation(s)
- Zhentao Wang
- Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996, USA
| | - Cristian D Batista
- Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996, USA
- Quantum Condensed Matter Division and Shull-Wollan Center, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
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5
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Corboz P, Mila F. Crystals of bound states in the magnetization plateaus of the Shastry-Sutherland model. PHYSICAL REVIEW LETTERS 2014; 112:147203. [PMID: 24766008 DOI: 10.1103/physrevlett.112.147203] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/14/2014] [Indexed: 06/03/2023]
Abstract
Using infinite projected entangled-pair states, we show that the Shastry-Sutherland model in an external magnetic field has low-magnetization plateaus which, in contrast to previous predictions, correspond to crystals of bound states of triplets, and not to crystals of triplets. The first sizable plateaus appear at magnetization 1/8, 2/15 and 1/6, in agreement with experiments on the orthogonal-dimer antiferromagnet SrCu2(BO3)2, and they can be naturally understood as regular patterns of bound states, including the intriguing 2/15 one. We also show that, even in a confined geometry, two triplets bind into a localized bound state with Sz=2. Finally, we discuss the role of competing domain-wall and supersolid phases, as well as that of additional anisotropic interactions.
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Affiliation(s)
- Philippe Corboz
- Theoretische Physik, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Frédéric Mila
- Institut de Théorie des Phénomènes Physiques, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
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Matsuda YH, Abe N, Takeyama S, Kageyama H, Corboz P, Honecker A, Manmana SR, Foltin GR, Schmidt KP, Mila F. Magnetization of SrCu2(BO3)2 in ultrahigh magnetic fields up to 118 T. PHYSICAL REVIEW LETTERS 2013; 111:137204. [PMID: 24116813 DOI: 10.1103/physrevlett.111.137204] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2013] [Indexed: 06/02/2023]
Abstract
The magnetization process of the orthogonal-dimer antiferromagnet SrCu2(BO3)2 is investigated in high magnetic fields of up to 118 T. A 1/2 plateau is clearly observed in the field range 84 to 108 T in addition to 1/8, 1/4, and 1/3 plateaus at lower fields. Using a combination of state-of-the-art numerical simulations, the main features of the high-field magnetization, a 1/2 plateau of width 24 T, a 1/3 plateau of width 34 T, and no 2/5 plateau, are shown to agree quantitatively with the Shastry-Sutherland model if the ratio of inter- to intradimer exchange interactions J'/J=0.63. It is further predicted that the intermediate phase between the 1/3 and 1/2 plateaus is not uniform but consists of a 1/3 supersolid followed by a 2/5 supersolid and possibly a domain-wall phase, with a reentrance into the 1/3 supersolid above the 1/2 plateau.
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Affiliation(s)
- Y H Matsuda
- Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
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Takigawa M, Horvatić M, Waki T, Krämer S, Berthier C, Lévy-Bertrand F, Sheikin I, Kageyama H, Ueda Y, Mila F. Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2. PHYSICAL REVIEW LETTERS 2013; 110:067210. [PMID: 23432305 DOI: 10.1103/physrevlett.110.067210] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/13/2012] [Indexed: 06/01/2023]
Abstract
We report on NMR and torque measurements on the frustrated quasi-two-dimensional spin-dimer system SrCu(2)(BO(3))(2) in magnetic fields up to 34 T that reveal a sequence of magnetization plateaus at 1/8, 2/15, 1/6, and 1/4 of the saturation and two incommensurate phases below and above the 1/6 plateau. The magnetic structures determined by NMR involve a stripe order of triplets in all plateaus, suggesting that the incommensurate phases originate from proliferation of domain walls. We propose that the magnetization process of SrCu(2)(BO(3))(2) is best described as an incomplete devil's staircase.
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Affiliation(s)
- M Takigawa
- Institute for Solid State Physics, University of Tokyo, Kashiwanoha, Kashiwa, Chiba 277-8581, Japan.
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Huang WC, Huo L, Tian G, Qian HR, Gao XS, Qin MH, Liu JM. Multi-step magnetization of the Ising model on a Shastry-Sutherland lattice: a Monte Carlo simulation. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:386003. [PMID: 22927561 DOI: 10.1088/0953-8984/24/38/386003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The magnetization behaviors and spin configurations of the classical Ising model on a Shastry-Sutherland lattice are investigated using Monte Carlo simulations, in order to understand the fascinating magnetization plateaus observed in TmB(4) and other rare-earth tetraborides. The simulations reproduce the 1/2 magnetization plateau by taking into account the dipole-dipole interaction. In addition, a narrow 2/3 magnetization step at low temperature is predicted in our simulation. The multi-step magnetization can be understood as the consequence of the competitions among the spin-exchange interaction, the dipole-dipole interaction, and the static magnetic energy.
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Affiliation(s)
- W C Huang
- Institute for Advanced Materials, South China Academy of Advanced Photonics Engineering, South China Normal University, Guangzhou 510006, People's Republic of China
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Jaime M, Daou R, Crooker SA, Weickert F, Uchida A, Feiguin AE, Batista CD, Dabkowska HA, Gaulin BD. Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu 2(BO 3) 2. Proc Natl Acad Sci U S A 2012; 109:12404-12407. [PMCID: PMC3411973 DOI: 10.1073/pnas.1200743109] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/10/2023] Open
Abstract
Strong geometrical frustration in magnets leads to exotic states such as spin liquids, spin supersolids, and complex magnetic textures. SrCu2(BO3)2, a spin-1/2 Heisenberg antiferromagnet in the archetypical Shastry–Sutherland lattice, exhibits a rich spectrum of magnetization plateaus and stripe-like magnetic textures in applied fields. The structure of these plateaus is still highly controversial due to the intrinsic complexity associated with frustration and competing length scales. We discover magnetic textures in SrCu2(BO3)2 via magnetostriction and magnetocaloric measurements in fields up to 100.75 T. In addition to observing low-field fine structure with unprecedented resolution, the data also reveal lattice responses at 73.6 T and at 82 T that we attribute, using a controlled density matrix renormalization group approach, to a unanticipated 2/5 plateau and to the long-predicted 1/2 plateau.
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Affiliation(s)
- Marcelo Jaime
- National High Magnetic Field Laboratory, Los Alamos National Laboratory, Los Alamos, NM 87545
- Materials, Physics and Applications Division, Los Alamos National Laboratory, Los Alamos, NM 87545
| | - Ramzy Daou
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
- Dresden High Magnetic Field Laboratory, Helmholtz-Zentrum, Dresden-Rossendorf, D-01314 Dresden, Germany
| | - Scott A. Crooker
- National High Magnetic Field Laboratory, Los Alamos National Laboratory, Los Alamos, NM 87545
- Materials, Physics and Applications Division, Los Alamos National Laboratory, Los Alamos, NM 87545
| | - Franziska Weickert
- Materials, Physics and Applications Division, Los Alamos National Laboratory, Los Alamos, NM 87545
| | - Atsuko Uchida
- National High Magnetic Field Laboratory, Los Alamos National Laboratory, Los Alamos, NM 87545
- Materials, Physics and Applications Division, Los Alamos National Laboratory, Los Alamos, NM 87545
| | - Adrian E. Feiguin
- Department of Physics and Astronomy, University of Wyoming, Laramie, WY 82071
| | | | - Hanna A. Dabkowska
- Brockhouse Institute for Materials Research, McMaster University, Hamilton, ON, Canada L8S 4M1; and
| | - Bruce D. Gaulin
- Brockhouse Institute for Materials Research, McMaster University, Hamilton, ON, Canada L8S 4M1; and
- Department of Physics and Astronomy, McMaster University, Hamilton, ON, Canada L8S 4M1
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10
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Isaev L, Ortiz G, Dukelsky J. Local physics of magnetization plateaux in the Shastry-Sutherland model. PHYSICAL REVIEW LETTERS 2009; 103:177201. [PMID: 19905780 DOI: 10.1103/physrevlett.103.177201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2009] [Revised: 09/04/2009] [Indexed: 05/28/2023]
Abstract
We address the physical mechanism responsible for the emergence of magnetization plateaux in the Shastry-Sutherland model. By using a hierarchical mean-field approach, we demonstrate that a plateau is stabilized in a certain spin pattern, satisfying local commensurability conditions derived from our formalism. Our results provide evidence in favor of a robust local physics nature of the plateaux states and are in agreement with recent NMR experiments on SrCu2(BO3)2.
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Affiliation(s)
- L Isaev
- Department of Physics, Indiana University, Bloomington, Indiana 47405, USA
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Albuquerque AF, Katzgraber HG, Troyer M. ENCORE: An extended contractor renormalization algorithm. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 79:046712. [PMID: 19518385 DOI: 10.1103/physreve.79.046712] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/20/2008] [Indexed: 05/27/2023]
Abstract
Contractor renormalization (CORE) is a real-space renormalization-group method to derive effective Hamiltionians for microscopic models. The original CORE method is based on a real-space decomposition of the lattice into small blocks and the effective degrees of freedom on the lattice are tensor products of those on the small blocks. We present an extension of the CORE method that overcomes this restriction. Our generalization allows the application of CORE to derive arbitrary effective models whose Hilbert space is not just a tensor product of local degrees of freedom. The method is especially well suited to search for microscopic models to emulate low-energy exotic models and can guide the design of quantum devices.
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Laflorencie N, Mila F. Theory of the field-induced BEC in the frustrated spin-1/2 dimer compound BaCuSi2O6. PHYSICAL REVIEW LETTERS 2009; 102:060602. [PMID: 19257573 DOI: 10.1103/physrevlett.102.060602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/29/2008] [Revised: 01/07/2009] [Indexed: 05/27/2023]
Abstract
Building on recent neutron and NMR experiments, we investigate the field-induced exotic criticality observed in the frustrated compound BaCuSi2O6 using a frustrated model with two types of bilayers. A semiclassical treatment of the effective hard-core boson model shows that perfect interlayer frustration leads to a 2D-like critical exponent varphi=1 without logarithmic corrections and to a 3D low temperature phase with different but nonvanishing triplet populations in both types of bilayers. These further suggest a simple phenomenology in terms of a field-dependent transverse coupling in the context of which we reproduce the entire field-temperature phase diagram with quantum Monte Carlo simulations.
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Affiliation(s)
- Nicolas Laflorencie
- Laboratoire de Physique des Solides, Université Paris-Sud, UMR-8502 CNRS, 91405 Orsay, France
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