Quantum spin liquids

Broholm, C.; Cava, R. J.; Kivelson, Steven; Nocera, Daniel G.; Norman, M. R.; Senthil, T.

doi:10.1126/science.aay0668

Cited by 850 publications

(541 citation statements)

References 147 publications

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“…It is exactly these controversial but pertinent issues that we seek to address in the present brief review using triangular antiferromagnets as an example. For a more detailed introduction into the physics of spin liquids beyond the triangular systems we refer readers to excellent summaries [3,4], as well as more technical and elaborate overviews of the field [5,6] that were recently published.…”

Section: Introductionmentioning

confidence: 99%

Spin liquids in geometrically perfect triangular antiferromagnets

Gegenwart

Tsirlin

2020

J. Phys.: Condens. Matter

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The cradle of quantum spin liquids, triangular antiferromagnets show strong proclivity to magnetic order and require deliberate tuning to stabilize a spin-liquid state. In this brief review, we juxtapose recent theoretical developments that trace the parameter regime of the spin-liquid phase, with experimental results for Co-based and Yb-based triangular antiferromagnets. Unconventional spin dynamics arising from both ordered and disordered ground states is discussed, and the notion of a geometrically perfect triangular system is scrutinized to demonstrate non-trivial imperfections that may assist magnetic frustration in stabilizing dynamic spin states with peculiar excitations.

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Section: Introductionmentioning

confidence: 99%

Spin liquids in geometrically perfect triangular antiferromagnets

Gegenwart

Tsirlin

2020

J. Phys.: Condens. Matter

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“…One occasion where an exotic quantum phase transition may occur is around a quantum spin liquid (QSL), i.e., a spin system whose ground state exhibits nontrivial patterns of quantum entanglement [16,17]. Recently there has been exciting progress in material realizations of quantum spin liquids [17], and an interesting class of materials is Kitaev materials (For recent reviews, see Refs. [18][19][20][21]).…”

Section: Introductionmentioning

confidence: 99%

Field-induced QCD3 -Chern-Simons quantum criticalities in Kitaev materials

Zou

2020

Phys. Rev. Research

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Kitaev materials are promising to realize exotic quantum spin liquid phases, such as a non-Abelian chiral spin liquid. Motivated by recent experiments in these materials, we theoretically study the novel field-induced quantum phase transitions from the non-Abelian chiral spin liquid to the symmetry-broken zigzag phase and to the trivial polarized state. Utilizing the recently developed dualities of gauge theories, we find these transitions can be described by critical bosons or gapless fermions coupled to emergent non-Abelian gauge fields, and the critical theories are of the type of a QCD3-Chern-Simons theory. We propose that all these exotic quantum phase transitions can potentially be direct and continuous in Kitaev materials, and we present sound evidence for this proposal. Therefore, besides being systems with intriguing quantum magnetism, Kitaev materials may also serve as table-top experimental platforms to study the interesting dynamics of emergent strongly interacting quarks and gluons in 2 + 1 dimensions. Contents

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“…Introduction.-Quantum spin liquids (QSLs) are exotic phases of matter which remain disordered due to quantum fluctuations, which in turn give rise to remarkable properties of fundamental importance, such as fractionalizations, gauge fluctuations, topology, and unconventional superconductivity [1][2][3][4]. However, despite of a long-running quest, theoretical and experimentally relevant models for enigmatic QSLs are still limited and rare.…”

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confidence: 99%

Dirac Spin Liquid on the Spin- 1/2 Triangular Heisenberg Antiferromagnet

et al. 2019

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We study the spin liquid candidate of the spin-1/2 J1-J2 Heisenberg antiferromagnet on the triangular lattice by means of density matrix renormalization group (DMRG) simulations. By applying an external Aharonov-Bohm flux insertion in an infinitely long cylinder, we find unambiguous evidence for gapless U (1) Dirac spin liquid behavior. The flux insertion overcomes the finite size restriction for energy gaps and clearly shows gapless behavior at the expected wave-vectors. Using the DMRG transfer matrix, the low-lying excitation spectrum can be extracted, which shows characteristic Dirac cone structures of both spinon-bilinear and monopole excitations. Finally, we confirm that the entanglement entropy follows the predicted universal response under the flux insertion.

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Quantum spin liquids

Cited by 850 publications

References 147 publications

Spin liquids in geometrically perfect triangular antiferromagnets

Spin liquids in geometrically perfect triangular antiferromagnets

Field-induced QCD3 -Chern-Simons quantum criticalities in Kitaev materials

Dirac Spin Liquid on the Spin- 1/2 Triangular Heisenberg Antiferromagnet

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