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Owerre SA. Two-dimensional Dirac nodal loop magnons in collinear antiferromagnets. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:28LT01. [PMID: 29846176 DOI: 10.1088/1361-648x/aac8b5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We study the nontrivial linear magnon band crossings in the collinear antiferromagnets on the two-dimensional (2D) CaVO lattice, also realized in some iron-based superconductors such as AFe1.6+x Se2 (A = K, Rb, Cs). It is shown that the combination of space-inversion and time-reversal symmetry ([Formula: see text] symmetry) leads to doubly-degenerate eight magnon branches, which cross each other linearly along a one-dimensional loop in the 2D Brillouin zone. We show that the Dirac nodal loops (DNLs) are not present in the collinear ferromagnet on this lattice. Thus, the current 2D antiferromagnetic DNLs are symmetry-protected and they provide a novel platform to search for their analogs in 2D electronic antiferromagnetic systems.
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Affiliation(s)
- S A Owerre
- Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, Ontario N2L 2Y5, Canada
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Guo W, Tang Y, Zhang S, Chen S, Xiang H, Xu J, Cui M, Wang L, Qiu C, He Z. BaCo4(OH)2(H2PO4)(HPO4)2(PO4): Archimedean lattice T11 in distorted layers built from Co4O12(OH)4 squares. Dalton Trans 2016; 45:8708-11. [PMID: 27165187 DOI: 10.1039/c6dt01014h] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The family of Archimedean lattices has eleven numbers, yet several of these lattices have not been reported for transition metal oxides. Here, the last number of Archimedean lattice was firstly realized in a layered phosphate.
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Affiliation(s)
- Wenbin Guo
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, P. R. China.
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Cui M, He Z, Wang N, Tang Y, Guo W, Zhang S, Wang L, Xiang H. NaKV4O9·2H2O: a new 2D magnetic compound with a 1/5-depleted square lattice. Dalton Trans 2016; 45:5234-9. [PMID: 26892907 DOI: 10.1039/c5dt04745e] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A new vanadate compound NaKV4O9·2H2O is successfully synthesized by a conventional hydrothermal method. This compound crystallizes in the monoclinic system with the space group C2/c, showing a typical 2D layered structure built from VO5 pyramids, in which the layers are separated by Na(+), K(+), and H2O. The topology structure of magnetic V(4+) ions shows a quite interesting 1/5-depleted square lattice, which is quite similar to that of a famous low-dimensional quantum spin system CaV4O9. A structural and magnetic comparison confirmed that the title compound may exhibit a more pronounced 2D character with a large spin gap.
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Affiliation(s)
- Meiyan Cui
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, China. and University of the Chinese Academy of Sciences, Beijing, 100049, P. R. China
| | - Zhangzhen He
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, China.
| | - Nannan Wang
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, China.
| | - Yingying Tang
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, China.
| | - Wenbin Guo
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, China.
| | - Suyun Zhang
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, China.
| | - Lin Wang
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, China.
| | - Hongping Xiang
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian 350002, China.
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Khatami E, Singh RRP, Pickett WE, Scalettar RT. Magnetic correlations and pairing in the 1/5-depleted square lattice Hubbard model. PHYSICAL REVIEW LETTERS 2014; 113:106402. [PMID: 25238374 DOI: 10.1103/physrevlett.113.106402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/15/2014] [Indexed: 06/03/2023]
Abstract
We study the single-orbital Hubbard model on the 1/5-depleted square-lattice geometry, which arises in such diverse systems as the spin-gap magnetic insulator CaV4O9 and ordered-vacancy iron selenides, presenting new issues regarding the origin of both magnetic ordering and superconductivity in these materials. We find a rich phase diagram that includes a plaquette singlet phase, a dimer singlet phase, a Néel and a block-spin antiferromagnetic phase, and stripe phases. Quantum Monte Carlo simulations show that the dominant pairing correlations at half filling change character from d wave in the plaquette phase to extended s wave upon transition to the Néel phase. These findings have intriguing connections to iron-based superconductors, and suggest that some physics of multiorbital systems can be captured by a single-orbital model at different dopings.
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Affiliation(s)
- Ehsan Khatami
- Department of Physics, University of California, Davis, California 95616, USA and Department of Physics and Astronomy, San Jose State University, San Jose, California 95192, USA
| | - Rajiv R P Singh
- Department of Physics, University of California, Davis, California 95616, USA
| | - Warren E Pickett
- Department of Physics, University of California, Davis, California 95616, USA
| | - Richard T Scalettar
- Department of Physics, University of California, Davis, California 95616, USA
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New Method to Calculate the Sign and Relative Strength of Magnetic Interactions in Low-Dimensional Systems on the Basis of Structural Data. ACTA ACUST UNITED AC 2011. [DOI: 10.1007/s10948-005-0043-9] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Schwandt D, Alet F, Capponi S. Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions. PHYSICAL REVIEW LETTERS 2009; 103:170501. [PMID: 19905737 DOI: 10.1103/physrevlett.103.170501] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/06/2009] [Revised: 09/14/2009] [Indexed: 05/28/2023]
Abstract
When a system undergoes a quantum phase transition, the ground-state wave function shows a change of nature, which can be monitored using the fidelity concept. We introduce two quantum Monte Carlo schemes that allow the computation of fidelity and its susceptibility for large interacting many-body systems. These methods are illustrated on a two-dimensional Heisenberg model, where fidelity estimators show marked behavior at two successive quantum phase transitions. We also develop a scaling theory which relates the divergence of the fidelity susceptibility to the critical exponent of the correlation length. A good agreement is found with the numerical results.
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Affiliation(s)
- David Schwandt
- Laboratoire de Physique Théorique, Université de Toulouse, UPS, (IRSAMC), F-31062 Toulouse, France
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Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder. QUANTUM MAGNETISM 2004. [DOI: 10.1007/bfb0119592] [Citation(s) in RCA: 104] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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Harada K, Kawashima N, Troyer M. Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets. PHYSICAL REVIEW LETTERS 2003; 90:117203. [PMID: 12688963 DOI: 10.1103/physrevlett.90.117203] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/03/2002] [Indexed: 05/24/2023]
Abstract
The two-dimensional SU(N) quantum antiferromagnet, a generalization of the quantum Heisenberg model, is investigated by quantum Monte Carlo simulations. The ground state for N<or=4 is found to be of the Néel type with broken SU(N) symmetry, whereas it is of the Spin-Peierls type for N>or=5 with broken lattice translational invariance. Our computation of the magnetization and the dimerization order parameter shows the absence of the intermediate spin-liquid phase.
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Affiliation(s)
- Kenji Harada
- Department of Applied Analysis and Complex Dynamical Systems, Kyoto University, Kyoto 606-8501, Japan
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Shen SQ, Xie XC, Zhang FC. High spin systems with orbital degeneracy. PHYSICAL REVIEW LETTERS 2002; 88:027201. [PMID: 11801030 DOI: 10.1103/physrevlett.88.027201] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/28/2001] [Indexed: 05/23/2023]
Abstract
High-spin systems with orbital degeneracy are studied in the large spin limit. In the absence of Hund's coupling, the classical spin model is mapped onto disconnected orbital systems with spins up and down, respectively. The ground state of the isotropic model is an orbital valence bond state where each bond is an orbital singlet with parallel spins, and neighboring bonds interact antiferromagnetically. Possible relevance to the transition metal oxides is discussed.
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Affiliation(s)
- Shun-Qing Shen
- Department of Physics, The University of Hong Kong, Pokfulam, Hong Kong
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Sachdev S, Read N. Spin-Peierls States of Quantum Antiferromagnets on the CaV4O9 Lattice. PHYSICAL REVIEW LETTERS 1996; 77:4800-4803. [PMID: 10062634 DOI: 10.1103/physrevlett.77.4800] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Albrecht M, Mila F, Poilblanc D. Presence of midgap states in CaV4O9. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:15856-15859. [PMID: 9985654 DOI: 10.1103/physrevb.54.15856] [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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Mila F, Millet P, Bonvoisin J. Exchange integrals of vanadates as revealed by magnetic-susceptibility measurements of NaV2O5. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:11925-11928. [PMID: 9985032 DOI: 10.1103/physrevb.54.11925] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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White SR. Spin Gaps in a Frustrated Heisenberg Model for CaV4O9. PHYSICAL REVIEW LETTERS 1996; 77:3633-3636. [PMID: 10062269 DOI: 10.1103/physrevlett.77.3633] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Zhitomirsky ME, Ueda K. Valence-bond crystal phase of a frustrated spin-1/2 square-lattice antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:9007-9010. [PMID: 9984619 DOI: 10.1103/physrevb.54.9007] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Gelfand MP, Weihong Z, Singh RR, Oitmaa J, Hamer CJ. Convergent Expansions for Properties of the Heisenberg Model for CaV4 O9. PHYSICAL REVIEW LETTERS 1996; 77:2794-2797. [PMID: 10062047 DOI: 10.1103/physrevlett.77.2794] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Starykh OA, Zhitomirsky ME, Khomskii DI, Singh RR, Ueda K. Origin of Spin Gap in CaV4O9: Effects of Frustration and Lattice Distortions. PHYSICAL REVIEW LETTERS 1996; 77:2558-2561. [PMID: 10061984 DOI: 10.1103/physrevlett.77.2558] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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