Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice

Hu, Wen-Jun; Gong, Shou-Shu; Sheng, D. N.

doi:10.1103/physrevb.94.075131

Cited by 54 publications

(45 citation statements)

References 78 publications

(126 reference statements)

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“…It would be interesting to investigate the nature of the phase transitions from the tetrahedral [8] and the 120 • Néel phases into the CSL. Finally a recent purely variational study [49] also found evidence for a CSL in our model for selected values of J 2 and J χ .…”

supporting

confidence: 71%

“…The groundstate of this tight binding model at half filling is given by filling the orbitals of the lower band. After Gutzwiller projection such a state has been shown to yield a CSL wavefunction [7,10,48,49]. To construct the topological partner of the CSL wavefunction the phases in the tight-binding model before projection can be tuned such that locally the flux through each triangle remains π/2 while the flux through incontractible loops around the torus changes.…”

mentioning

confidence: 99%

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Chiral spin liquid and quantum criticality in extended S=12 Heisenberg models on the triangular lattice

2017

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We investigate the J1-J2 Heisenberg model on the triangular lattice with an additional scalar chirality term and show that a chiral spin liquid is stabilized in a sizeable region of the phase diagram. This topological phase is situated in between a coplanar 120 • Néel ordered and a non-coplanar tetrahedrally ordered phase. Furthermore we discuss the nature of the spin-disordered intermediate phase in the J1-J2 model. We compare the groundstates from Exact Diagonalization with a Dirac spin liquid wavefunction and propose a scenario where this wavefunction describes the quantum critical point between the 120 • magnetically ordered phase and a putative Z2 spin liquid. arXiv:1604.07829v1 [cond-mat.str-el]

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confidence: 71%

mentioning

confidence: 99%

Chiral spin liquid and quantum criticality in extended S=12 Heisenberg models on the triangular lattice

2017

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“…We note that recent numerical work using density matrix renormalization group (DMRG) and variational Monte Carlo methods supports the existence of a region of spin liquid in a J1 − J2 Heisenberg model on a triangular lattice where the next nearest neighbor (NNN) J2 is in the range 0.08 < J2/J1 < 0.15 (32)(33)(34)(35)(36). Currently, many groups find it difficult to distinguish between the Z 2 spin liquid, the chiral spin liquid, and the U (1) Dirac spin liquid.…”

Section: Possible Spin Liquid States In Tasmentioning

confidence: 99%

1T-TaS ₂ as a quantum spin liquid

Law

Lee

2017

Proc. Natl. Acad. Sci. U.S.A.

267

154

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1T-TaS 2 is unique among transition metal dichalcogenides in that it is understood to be a correlation-driven insulator, where the unpaired electron in a 13-site cluster experiences enough correlation to form a Mott insulator. We argue, based on existing data, that this well-known material should be considered as a quantum spin liquid, either a fully gapped Z2 spin liquid or a Dirac spin liquid. We discuss the exotic states that emerge upon doping and propose further experimental probes.spin liquid | Mott insulator | transition metal dichalcogenide T he transition metal dichalcogenide (TMD) is an old subject that has enjoyed a revival recently due to the interests in its topological properties and unusual superconductivity. The layer structure is easy to cleave or intercalate and can exist in singlelayer form (1, 2). This material was studied intensively in the 1970s and 1980s and was considered the prototypical example of a charge density wave (CDW) system (3). Due to imperfect nesting in two dimensions, in most of these materials, the onset of CDW gaps out only part of the Fermi surface, leaving behind a metallic state that often becomes superconducting. Conventional band theory and electron-phonon coupling appear to account for the qualitative behavior (3). There is, however, one notable exception, namely 1T-TaS2. The Ta forms a triangular lattice, sandwiched between two triangular layers of S, forming an ABCtype stacking. As a result, the Ta is surrounded by S, forming an approximate octahedron. In contrast, the 2H-TaS2 forms an ABA-type stacking, and the Ta is surrounded by S, forming a trigonal prism. In a single layer, inversion symmetry is broken in 2H structure. The system is a good metal below the CDW onset around 90 K, and, eventually, the spin-orbit coupling gives rise to a special kind of superconductivity called Ising superconductivity (4-6). In 1T-TaS2, inversion symmetry is preserved. The system undergoes a CDW transition at about 350 K with a jump in the resistivity. It is known that this transition is driven by an incommensurate triple-Q CDW (ICDW). A similar transition is seen in 1T-TaSe2 at 470 K. However, whereas TaSe2 stays metallic below this transition, 1T-TaS2 exhibits a further resistivity jump around 200 K that is hysteretic, indicative of the firstorder nature of this transition. These transitions are also visible in the spin susceptibility data shown in Fig. 2. In early samples, the resistivity rises only by about a factor of 10 as the temperature is lowered from 200 K to 2 K and, below that, obeys Mott hopping law (log resistivity goes as T −1/3 ) (7). More recent samples show better insulating behavior, and it is generally agreed that the ground state is insulating. The 200 K transition is accompanied by a lock-in to a commensurate CDW (CCDW), forming a √ 13 × √ 13 structure. As shown in Fig. 1, this structure is described as clusters of stars of David where the sites of the stars move inward toward the site in the middle. The stars of David are packed in such a way that they form ...

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“…The effective nearest-neighbor exchange constants are given in Eq. (28). All other couplings and the constant contri-…”

Section: Discussionmentioning

confidence: 99%

Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice

Boos

Ganahl

Lajkó

et al. 2020

Phys. Rev. Research

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We provide numerical evidence in favor of spontaneous chiral symmetry breaking and the concomitant appearance of an Abelian chiral spin liquid for three-component fermions on the triangular lattice described by an SU(3) symmetric Hubbard model with hopping amplitude −t (t > 0) and on-site interaction U . This chiral phase is stabilized in the Mott phase with one particle per site in the presence of a uniform π-flux per plaquette, and in the Mott phase with two particles per site without any flux. Our approach relies on effective spin models derived in the strong-coupling limit in powers of t/U for general SU(N ) and arbitrary uniform charge flux per plaquette, which are subsequently studied using exact diagonalizations and variational Monte Carlo simulations for N = 3, as well as on exact diagonalizations of the SU(3) Hubbard model on small clusters. Up to third order in t/U , and for the time-reversal symmetric cases (flux 0 or π), the low-energy description is given by the J-K model with Heisenberg coupling J and real ring exchange K. The phase diagram in the full J-K parameter range contains, apart from three already known, magnetically long-range ordered phases, two previously unreported phases: i) a lattice nematic phase breaking the lattice rotation symmetry and ii) a spontaneous timereversal and parity symmetry breaking Abelian chiral spin liquid. For the Hubbard model, an investigation that includes higher-order itinerancy effects supports the presence of a phase transition inside the insulating region, occurring at (t/U )c ≈ 0.07 [(U/t)c ≈ 13] between the three-sublattice magnetically ordered phase at small t/U and this Abelian chiral spin liquid. arXiv:1802.03179v2 [cond-mat.str-el]

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Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice

Cited by 54 publications

References 78 publications

Chiral spin liquid and quantum criticality in extended S=12 Heisenberg models on the triangular lattice

Chiral spin liquid and quantum criticality in extended S=12 Heisenberg models on the triangular lattice

1T-TaS ₂ as a quantum spin liquid

Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice

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Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice

Cited by 54 publications

References 78 publications

Chiral spin liquid and quantum criticality in extended S=12 Heisenberg models on the triangular lattice

Chiral spin liquid and quantum criticality in extended S=12 Heisenberg models on the triangular lattice

1T-TaS 2 as a quantum spin liquid

Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice

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1T-TaS ₂ as a quantum spin liquid