Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study

Szasz, Aaron; Motruk, Johannes; Zaletel, Michael P.; Moore, Joel E.

doi:10.1103/physrevx.10.021042

Cited by 225 publications

(219 citation statements)

References 94 publications

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“…At half-filling, we find that the triangular lattice model without flux, = 0, becomes insulating for sufficiently strong interactions U > U Mott c 8.2 at T = 0.06in good agreement with previous numerical results [41][42][43]. In the following, we take U = 9.2, which corresponds to U 1.15 U Mott c and to the regime of moderately strong correlations at which a chiral spin liquid phase was found at half-filling in [43] (before the spins order for U > 10.6). A characteristic feature of the PG state is the opening of a partial energy gap in the spectral function A(k, ω) near the Fermi level, at certain regions in the Brillouin zone (BZ).…”

Section: Triangular Latticesupporting

confidence: 91%

Effect of Van Hove singularities in the onset of pseudogap states in Mott insulators

Wú

Scheurer

Ferrero

et al. 2020

Phys. Rev. Research

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The Mott insulating phase of parent compounds is frequently taken as a starting point for underdoped high-T c cuprate superconductors. In particular, the pseudogap state is often considered as deriving from the Mott insulator. In this work, we systematically investigate different weakly doped Mott insulators on a square and triangular lattice to clarify the relationship between the pseudogap and Mottness. We show that doping a two-dimensional Mott insulator does not necessarily lead to a pseudogap phase. Despite its inherent strongcoupling nature, we find that the existence or absence of a pseudogap depends sensitively on noninteracting band parameters, and we identify the crucial role played by the van Hove singularities of the system. Motivated by a SU(2) gauge theory for the pseudogap state, we propose and verify numerically a simple equation that governs the evolution of characteristic features in the electronic scattering rate.

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Section: Triangular Latticesupporting

confidence: 91%

Effect of Van Hove singularities in the onset of pseudogap states in Mott insulators

Wú

Scheurer

Ferrero

et al. 2020

Phys. Rev. Research

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“…[16]) for a 'chiral spin liquid': a gapped state with semion topological order, but no antiferromagnetic order. More recently, a study [18] of the Hubbard model on the triangular lattice found evidence for the same chiral spin liquid even at J χ = 0. On the square lattice, Nielsen et al [19] studied the antiferromagnet with first (J 1 ) and second (J 2 ) neighbor exchange and a nonzero J χ , and found evidence for the chiral spin liquid at quite small values of J χ , but in relatively small system sizes.…”

Section: At Low Temperatures (T )mentioning

confidence: 89%

Enhanced thermal Hall effect in the square-lattice Néel state

et al. 2019

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Recent experiments on several cuprate compounds have identified an enhanced thermal Hall response in the pseudogap phase. Most strikingly, this enhancement persists even in the undoped system, which challenges our understanding of the insulating parent compounds. To explain these surprising observations, we study the quantum phase transition of a squarelattice antiferromagnet from a confining Néel state to a state with coexisting Néel and semion topological order. The transition is driven by an applied magnetic field and involves no change in the symmetry of the state. The critical point is described by a strongly-coupled conformal field theory with an emergent global SO(3) symmetry. The field theory has four different formulations in terms of SU (2) or U (1) gauge theories, which are all related by dualities; we relate all four theories to the lattice degrees of freedom. We show how proximity of the confining Néel state to the critical point can explain the enhanced thermal Hall effect seen in experiment.

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“…We estimate the hopping t between Wannier functions at neighboring triangular lattice sites to be ≈15 meV reflecting suppressed kinetic energy of the flat band electrons (Supplementary Table 4). In this context, the exotic electronic phases recently derived from the Hubbard model on triangular lattices, including spiral magnetic orders, unconventional superconductivity, and quantum or chiral spin liquids, might be relevant to the flat bands in kagome lattice [44][45][46] .…”

Section: Resultsmentioning

confidence: 99%

Topological flat bands in frustrated kagome lattice CoSn

et al. 2020

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Electronic flat bands in momentum space, arising from strong localization of electrons in real space, are an ideal stage to realize strongly-correlated phenomena. Theoretically, the flat bands can naturally arise in certain geometrically frustrated lattices, often with nontrivial topology if combined with spin-orbit coupling. Here, we report the observation of topological flat bands in frustrated kagome metal CoSn, using angle-resolved photoemission spectroscopy and band structure calculations. Throughout the entire Brillouin zone, the bandwidth of the flat band is suppressed by an order of magnitude compared to the Dirac bands originating from the same orbitals. The frustration-driven nature of the flat band is directly confirmed by the chiral d-orbital texture of the corresponding real-space Wannier functions. Spin-orbit coupling opens a large gap of 80 meV at the quadratic touching point between the Dirac and flat bands, endowing a nonzero Z 2 invariant to the flat band. These findings demonstrate that kagome-derived flat bands are a promising platform for novel emergent phases of matter at the confluence of strong correlation and topology.

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Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study

Cited by 225 publications

References 94 publications

Effect of Van Hove singularities in the onset of pseudogap states in Mott insulators

Effect of Van Hove singularities in the onset of pseudogap states in Mott insulators

Enhanced thermal Hall effect in the square-lattice Néel state

Topological flat bands in frustrated kagome lattice CoSn

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