Spin liquid phase of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow><mml:mspace width="4.pt" /><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>Heisenberg model on the triangular lattice

Zhu, Zhenyue; White, Steven R.

doi:10.1103/physrevb.92.041105

Cited by 221 publications

(202 citation statements)

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“…In particular, recent studies actually predict the emergence of either a gapless or gapped spin liquid phase in this intermediate region [29][30][31][32][33][34][35]. These results of the Heisenberg model may be compared with those of our Hubbard model in the strong correlation limit (as we will see below).…”

Section: Introductionmentioning

confidence: 97%

Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping

2017

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The variational cluster approximation is used to study the isotropic triangular-lattice Hubbard model at half filling, taking into account the nearest-neighbor (t1) and next-nearest-neighbor (t2) hopping parameters for magnetic frustrations. We determine the ground-state phase diagram of the model. In the strong correlation regime, the 120• Néel and stripe ordered phases appear, and a nonmagnetic insulating phase emerges in between. In the intermediate correlation regime, the nonmagnetic insulating phase expands to a wider parameter region, which goes into a paramagnetic metallic phase in the weak correlation regime. The critical phase boundary of the Mott metalinsulator transition is discussed in terms of the van Hove singularity evident in the calculated density of states and single-particle spectral function.

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Section: Introductionmentioning

confidence: 97%

Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping

2017

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“…As a numerical method, we would like to point out that for detecting lattice symmetry breaking, edge bond pinning has been shown effective in quantum Monte Carlo 60 and DMRG simulations 58,59,61 . In the recent DMRG calculations for the spin-1/2 J 1 − J 2 triangular Heisenberg model [62][63][64] , a strong nematic order is also found, which is considered as an evidence of a spontaneous rotational symmetry breaking of the identified spin liquid phase.…”

Section: Nematic Ordermentioning

confidence: 99%

Possible nematic spin liquid in spin-1 antiferromagnetic system on the square lattice: Implications for the nematic paramagnetic state of FeSe

et al. 2017

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The exotic normal state of iron chalcogenide superconductor FeSe, which exhibits vanishing magnetic order and possesses an electronic nematic order, triggered extensive explorations of its magnetic ground state. To understand its novel properties, we study the ground state of a highly frustrated spin-1 system with bilinearbiquadratic interactions using unbiased large-scale density matrix renormalization group. Remarkably, with increasing biquadratic interactions, we find a paramagnetic phase between Néel and stripe magnetic ordered phases. We identify this phase as a candidate of nematic quantum spin liquid by the compelling evidences, including vanished spin and quadrupolar orders, absence of lattice translational symmetry breaking, and a persistent non-zero lattice nematic order in the thermodynamic limit. The established quantum phase diagram natually explains the observations of enhanced spin fluctuations of FeSe in neutron scattering measurement and the phase transition with increasing pressure. This identified paramagnetic phase provides a new possibility to understand the novel properties of FeSe.

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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.

258

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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Spin liquid phase of theS=12J1−J2Heisenberg model on the triangular lattice

Cited by 221 publications

References 28 publications

Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping

Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping

Possible nematic spin liquid in spin-1 antiferromagnetic system on the square lattice: Implications for the nematic paramagnetic state of FeSe

1T-TaS ₂ as a quantum spin liquid

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Spin liquid phase of theS=12J1−J2Heisenberg model on the triangular lattice

Cited by 221 publications

References 28 publications

Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping

Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping

Possible nematic spin liquid in spin-1 antiferromagnetic system on the square lattice: Implications for the nematic paramagnetic state of FeSe

1T-TaS 2 as a quantum spin liquid

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1T-TaS ₂ as a quantum spin liquid