Phase diagram of the anisotropic triangular lattice Hubbard model

Szasz, Aaron; Motruk, Johannes

doi:10.1103/physrevb.103.235132

Cited by 39 publications

(14 citation statements)

References 113 publications

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“…This manuscript mainly concerns the metalinsulator transition (MIT) driven by interaction. The MIT of the Hubbard model on a triangular lattice has attracted much numerical efforts recently 45,46 . The symmetry of the TMD moiré heterostructure is different from the simplest version of the Hubbard model, hence even richer physics can happen in the system.…”

Section: Introductionmentioning

confidence: 99%

Metal-Insulator Transition with Charge Fractionalization

Xu,

Wu,

et al. 2021

Preprint

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It has been proposed that an extended version of the Hubbard model which potentially hosts rich possibilities of correlated physics may be well simulated by the transition metal dichalcogenide (TMD) moiré heterostructures. Motivated by recent reports of continuous metal-insulator transition (MIT) at half filling, as well as correlated insulators at various fractional fillings in TMD moiré heterostructures, we propose a theory for the potentially continuous MIT with fractionalized electric charges. The charge fractionalization at the MIT will lead to experimental observable effects, such as a large universal resistivity jump and interaction driven "bad metal" at the MIT, as well as special scaling of the quasi-particle weight with the tuning parameter. These predictions are different from previously proposed theory for continuous MIT.

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Section: Introductionmentioning

confidence: 99%

Metal-Insulator Transition with Charge Fractionalization

Xu,

Wu,

et al. 2021

Preprint

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“…Indications for this state, in subsequent works also referred to as spin-Bose metal, have been seen in other studies, including some with complementary methods [12,17,[29][30][31][32], but remain under debate [33]. However, recent work on the Hubbard model suggested that the NMI is instead a chiral spin liquid (CSL) of Kalmeyer-Laughlin (KL) type [34][35][36][37][38], seemingly at odds with the results for the effective spin model. In this Letter, using a combination of exact diagonalization (ED) and infinite density matrix renormalization group (iDMRG) [39] simulations, we first show that the KL spin liquid is indeed the ground state of the effective spin model around the parameter regime relevant for the Hubbard model.…”

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confidence: 97%

Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice

2021

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“…Moreover, numerical approaches based on tensor networks as well as variational Monte Carlo simulations suggest that quantum spin liquids are stabilized in various models. In particular, recent Matrix Product State (MPS) calculations on cylinder geometries indicate that the Hubbard model on the triangular lattice realizes at half-filling a chiral spin liquid for intermediate interaction strength [11][12][13][14]. The chiral spin liquid [15,16] is surrounded by a long-range ordered phase with a 120 • spiral order at strong interactions [17,18] and a possibly superconducting or metallic phase at weak interactions [11,[19][20][21]; see Fig.…”

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confidence: 99%

“…The hole excitation carries spin 1/2 and charge, and its spectrum is directly measured with Angle-Resolved Photoemission Spectroscopy (ARPES). Recent theoretical work has shown that ARPES [13] consists of a metal/Luther-Emery (L-E) liquid [19][20][21], a Chiral Spin Liquid (CSL), and a 120 • magnetically ordered phase. The hole spectral functions are clearly distinct in the metallic and in the ordered phase.…”

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confidence: 99%

“…b) First Brillouin zone with dots indicating the allowed momenta for the lattice geometry shown in a). c) The proposed phase diagram of the triangular lattice Hubbard model on cylinder geometries[13] consists of a metal/Luther-Emery (L-E) liquid[19][20][21], a Chiral Spin Liquid (CSL), and a 120 • magnetically ordered phase. The hole spectral functions are clearly distinct in the metallic and in the ordered phase.…”

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Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model

Kadow,

Vanderstraeten,

Knap

2022

Preprint

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Quantum spin liquids are fascinating phases of matter, hosting fractionalized spin excitations and unconventional long-range quantum entanglement. These exotic properties, however, also render their experimental characterization challenging and finding ways to diagnose quantum spin liquids is therefore a pertinent challenge. Here, we numerically compute the spectral function of a single hole doped into the halffilled Hubbard model on the triangular lattice using techniques based on matrix product states. At half filling the system has been proposed to realize a chiral spin liquid at intermediate interaction strength, surrounded by a magnetically ordered phase at strong interactions and a superconducting/metallic phase at weak interactions. We find that the spectra of these phases exhibit distinct signatures. By developing appropriate parton mean-field descriptions, we gain insight into the relevant low energy features. While the magnetic phase is characterized by a dressed hole moving through the ordered spin background, we find indications of spinon dynamics in the chiral spin liquid. Our results suggest that the hole spectral function, as measured by Angle-Resolved Photoemission Spectroscopy (ARPES), provides a useful tool to characterize quantum spin liquids.

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Phase diagram of the anisotropic triangular lattice Hubbard model

Cited by 39 publications

References 113 publications

Metal-Insulator Transition with Charge Fractionalization

Metal-Insulator Transition with Charge Fractionalization

Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice

Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model

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