Magnetic phases of the anisotropic triangular lattice Hubbard model

Abstract

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual fermion approximation which captures local correlations non-perturbatively but approximates non-local correlations. We find metallic, one-dimensional antiferromagnetic, non-collinear antiferromagnetic, square-lattice antiferromagnetic, and spiral phases but no evidence of collinear antiferromagnetic order in different parts of the phase diagram. Analyzing the spin susceptibility in detail, we see both regions of agreement and of discrepancy with previous work. The case of Cs${}_2$CuCl${}_4$ is discussed in detail.

arXiv comment13 pages, 6 figures

References in corpus (112)

• Quantum Spin Liquids
• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Spin Liquid States
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Quantum Spin Liquids
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Quantum simulation of frustrated magnetism in triangular optical lattices
• A Field Guide to Spin Liquids
• The Hubbard Model
• Long range Neel order in the triangular Heisenberg model
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• The Hubbard model: A computational perspective
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Experimental Realization of Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Field-tunable quantum disordered ground state in the triangular lattice antiferromagnet NaYbO${}_2$
• Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $\kappa$-(ET)${}_2$Cu${}_2(CN{)}_3$
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
• Local Electronic Correlation at the Two-Particle Level
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate YbMgGaO4
• Fermi Condensation Near van Hove Singularities Within the Hubbard Model on the Triangular Lattice
• Ordering in spatially anisotropic triangular antiferromagnets
• Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4
• Topological Lifshitz transitions
• Functional renormalization group for the anisotropic triangular antiferromagnet
• Efficient perturbation theory for quantum lattice models
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• Updated Core Libraries of the ALPS Project
• Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-1/2 Heisenberg antiferromagnets
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Superconductivity and a Mott Transition in a Hubbard Model on an Anisotropic Triangular Lattice
• Implementation of the Maximum Entropy Method for Analytic Continuation
• Sub-matrix updates for the Continuous-Time Auxiliary Field algorithm
• Ground state phase diagram of the triangular lattice Hubbard model by density matrix renormalization group method
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Phase diagram of the Hubbard model on the anisotropic triangular lattice
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate EtMe3Sb[Pd(dmit)2]2 -- revisited
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Absence of superconductivity in the half-filled band Hubbard model on the anisotropic triangular lattice
• Magnetic order in a spin-half interpolating square-triangle Heisenberg antiferromagnet
• Spin-liquid versus spiral-order phases in the anisotropic triangular lattice
• Large-N solutions of the Heisenberg and Hubbard-Heisenberg models on the anisotropic triangular lattice: application to Cs${}_2$CuCl${}_4$ and to the layered organic superconductors $\kappa$-(BEDT-TTF)${}_2$X
• Site-resolved imaging of ultracold fermions in a triangular-lattice quantum gas microscope
• Thermal conductivity of the quantum spin liquid candidate EtMe3Sb[Pd(dmit)2]2: No evidence of mobile gapless excitations
• Incommensurate correlations in the anisotropic triangular Heisenberg lattice
• Spin-liquid and magnetic phases in the anisotropic triangular lattice: the case of $\kappa$-(ET)${}_2$X
• Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions
• The Heisenberg antiferromagnet on an anisotropic triangular lattice: linear spin-wave theory
• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• Antiferromagnetism and Superconductivity in layered organic conductors: Variational cluster approach
• Phase diagram of the anisotropic triangular lattice Hubbard model
• Diagrammatic Monte Carlo approach for diagrammatic extensions of dynamical mean-field theory -- convergence analysis of the dual fermion technique
• Algebraic vortex liquid in spin-1/2 triangular antiferromagnets: Scenario for Cs_2CuCl_4
• Dynamical mean field study of the Mott transition in the half-filled Hubbard model on a triangular lattice
• Quantum Spin Liquid with Emergent Chiral Order in the Triangular-lattice Hubbard Model
• Diagrammatic Monte Carlo for Dual Fermions
• Thermodynamics of a bad metal-Mott insulator transition in the presence of frustration
• Possibility of Gapless Spin Liquid State by One-dimensionalization
• Study of the Hubbard model on the triangular lattice using dynamical cluster approximation and dual fermion methods
• Competing phases of the Hubbard model on a triangular lattice -- insights from the entropy
• Superconducting Fluctuations in the Normal State of the Two-Dimensional Hubbard Model
• Magnetic properties and Mott transition in the Hubbard model on the anisotropic triangular lattice
• Variational wave functions for the $S=1/2$ Heisenberg model on the anisotropic triangular lattice: Spin liquids and spiral orders
• Hubbard ladders at small $U$ revisited
• Spin dynamics of the quasi two dimensional spin-1/2 quantum magnet Cs_2CuCl_4
• A continuous Mott transition between a metal and a quantum spin liquid
• Large and Small Fermi-Surface Spin Density Waves in the Kondo Lattice Model
• Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1{J}_2{J}_3$ model with Heisenberg interactions
• Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping
• Order in a Spatially Anisotropic Triangular Antiferromagnet
• Magnetic order in coupled spin-half and spin-one Heisenberg chains in anisotropic triangular-lattice geometry
• Quantum disorder in the spatially completely anisotropic triangular lattice II: frustrated hard-core bosons
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Quantum disorder in the spatially completely anisotropic triangular lattice I: Heisenberg $S=1/2$ antiferromagnet
• Role of three-particle vertex within dual fermion calculations
• Excitation spectra and ground state properties of the layered spin-1/2 frustrated antiferromagnets Cs_2CuCl_4 and Cs_2CuBr_4
• Spin Structure Factor of the Frustrated Quantum Magnet Cs_2CuCl_4
• One-dimensional spin liquid, collinear, and spiral phases from uncoupled chains to the triangular lattice
• Mottness on a triangular lattice
• Numerical study of incommensurability of the spiral state on spin-1/2 spatially anisotropic triangular antiferromagnets using entanglement renormalization
• Mott transition in the triangular lattice Hubbard model: a dynamical cluster approximation study
• Spinon confinement: dynamics of weakly coupled Hubbard chains
• Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
• An Exact Diagonalization Study of the Anisotropic Triangular Lattice Heisenberg Model Using Twisted Boundary Conditions
• Unconventional dual 1D-2D quantum spin liquid revealed by $ab$ $initio$ studies on organic solids family
• Magnetic Susceptibility and Simulated Neutron Signal in the 2D Hubbard Model
• Electron energy spectrum of the spin-liquid state in a frustrated Hubbard model
• Incommensurate spiral magnetic order on anisotropic triangular lattice: Dynamical mean field study in a spin-rotating frame
• The effect of six-point one-particle reducible local interactions in the dual fermion approach
• opendf - an implementation of the dual fermion method for strongly correlated systems
• Dynamical reduction of the dimensionality of exchange interactions and the "spin-liquid" phase of $\kappa$-(BEDT-TTF)${}_{2}X$
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Magnetic properties and Mott transition of the Hubbard model for weakly coupled chains on the anisotropic triangular lattice
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
• Mott transition and magnetism on the anisotropic triangular lattice
• Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systems
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method

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