Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations

Abstract

Based on exact diagonalization and density matrix renormalization group (DMRG) method, we show that an anisotropic triangle lattice Heisenberg spin model has three distinct quantum phases. In particular, a spin-liquid phase is present in the weak interchain coupling regime, which is characterized by an exponentially-decaying spin correlator along the weaker coupling direction and a quasi-one-dimensional spin structure factor along the chain direction, in agreement with experiments on the Cs2CuCl4 compounds. In the obtained phase diagram, the spin liquid phase is found to persist up to a relatively large critical anisotropic coupling ratio J'/J=0.78, which is stabilized by strong quantum fluctuations, with a parity symmetry distinct from two magnetic ordered states in the stronger coupling regime.

4 pages, 3 figures; revised version

References in corpus (23)

• An RVB phase in the triangular lattice quantum dimer model
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Long range Neel order in the triangular Heisenberg model
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Experimental realization of a 2D fractional quantum spin liquid
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Direct Measurement of the Spin Hamiltonian and Observation of Condensation of Magnons in the 2D Frustrated Quantum Magnet Cs2CuCl4
• Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
• Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
• Fractionalization in the cuprates: Detecting the topological order
• Fractionalization, topological order, and cuprate superconductivity
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• Spin wave analysis to the spatially-anisotropic Heisenberg antiferromagnet on 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
• The Heisenberg antiferromagnet on an anisotropic triangular lattice: linear spin-wave theory
• Algebraic vortex liquid in spin-1/2 triangular antiferromagnets: Scenario for Cs_2CuCl_4
• Numerical study of fractionalization in an Easy-axis Kagome antiferromagnet
• Spin-liquid versus dimerized ground states in a frustrated Heisenberg antiferromagnet
• Finite size Spin Wave theory of the triangular Heisenberg model
• A density matrix renormalisation group algorithm for quantum lattice systems with a large number of states per site
• Resonating valence bond wave function for the two dimensional fractional spin liquid

Cited by in corpus (70)

• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Unusual ordered phases of highly frustrated magnets: a review
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4
• Functional renormalization group for the anisotropic triangular antiferromagnet
• Phase diagram of spin-1/2 J1-J2 Heisenberg model on honeycomb lattice
• Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
• Modes of magnetic resonance in the spin liquid phase of Cs2CuCl4
• Direct determination of exchange parameters in Cs2CuBr4 and Cs2CuCl4: high-field ESR studies
• Incommensurate correlations in the anisotropic triangular Heisenberg lattice
• Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
• Ground States of Spin-1/2 Triangular Antiferromagnets in a Magnetic Field
• Phase diagram of the anisotropic triangular lattice Hubbard model
• Geometrical frustration in the spin liquid beta'-Me3EtSb[Pd(dmit)2]2 and the valence bond solid Me3EtP[Pd(dmit)2]2
• 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
• Determination of effective microscopic models for the frustrated antiferromagnets Cs${}_2$CuCl${}_4$ and Cs${}_2$CuBr${}_4$ by density functional methods
• Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1{J}_2{J}_3$ model with Heisenberg interactions
• Density Matrix Renormalization Group with Tensor Processing Units
• 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
• Quantum disorder in the spatially completely anisotropic triangular lattice I: Heisenberg $S=1/2$ antiferromagnet
• Detect Spinons via Spin Transport
• One-dimensional spin liquid, collinear, and spiral phases from uncoupled chains to the triangular lattice
• Spin liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice
• Spin liquid phase in the semiclassical theory of the Heisenberg model on an anisotropic triangular lattice with ring exchange
• Numerical study of incommensurability of the spiral state on spin-1/2 spatially anisotropic triangular antiferromagnets using entanglement renormalization
• Elastic constants and ultrasonic attenuation in the cone state of the frustrated antiferromagnet Cs_2CuCl_4
• Spin liquid phase in a spatially anisotropic frustrated antiferromagnet
• Quantum fluctuations in anisotropic triangular lattices with ferro- and antiferromagnetic exchange
• Quantum antiferromagnet bluebellite comprising a maple-leaf lattice made of spin-1/2 Cu${}^{2+}$ ions
• An Exact Diagonalization Study of the Anisotropic Triangular Lattice Heisenberg Model Using Twisted Boundary Conditions
• One-dimensionalization by Geometrical Frustration in the Anisotropic Triangular Lattice of the 5d Quantum Antiferromagnet Ca3ReO5Cl2
• Unconventional dual 1D-2D quantum spin liquid revealed by $ab$ $initio$ studies on organic solids family
• Incommensurate spiral magnetic order on anisotropic triangular lattice: Dynamical mean field study in a spin-rotating frame
• Interplay of frustration and magnetic field in the two-dimensional quantum antiferromagnet Cu(tn)Cl${}_2$
• Variational Studies of Triangular Heisenberg Antiferromagnet in Magnetic Field
• Control of Magnetic and Topological Orders with a DC Electric Field
• Dynamical reduction of the dimensionality of exchange interactions and the "spin-liquid" phase of $\kappa$-(BEDT-TTF)${}_{2}X$
• Critical spin liquid at 1/3 magnetization in a spin-1/2 triangular antiferromagnet
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Magnetic properties and Mott transition of the Hubbard model for weakly coupled chains on the anisotropic triangular lattice
• Néel temperature and reentrant H-T phase diagram of quasi-2D frustrated magnets
• Spin Casimir Effect in Non-collinear Quantum Antiferromagnets
• Magnetic excitations in the spin-1/2 triangular-lattice antiferromagnet Cs${}_2$CuBr${}_4$
• Hard-core boson approach to the spin-1/2 triangular-lattice antiferromagnet Cs${}_2$CuCl${}_4$ at finite temperatures in magnetic fields higher than the saturation field
• Frustration, ring exchange, and the absence of long-range order in EtMe${}_3$Sb[Pd(dmit)${}_2$]${}_2$: from first principles to many-body theory
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Anisotropic Triangular Lattice Realized in Rhenium Oxychlorides A3ReO5Cl2 (A = Ba and Sr)
• Mott transition and magnetism on the anisotropic triangular lattice
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• Deconfinement criticality for the spatially anisotropic triangular antiferromagnet with the ring exchange
• Elastic constants and ultrasound attenuation in the spin-liquid phase of Cs${}_2$CuCl${}_4$
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Phase Diagram of the Frustrated Square-Lattice Hubbard Model: Variational Cluster Approach
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• An efficient perturbation theory of density matrix renormalization group
• Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systems
• $x$-[Pd(dmit)${}_2$]${}_2$ as a quasi-1D, scalene Heisenberg model
• Quasi-one-dimensional Spin Dynamics in a Molecular Spin Liquid System
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• Stabilizing the spiral order with spin-orbit coupling in an anisotropic triangular antiferromagnet
• The Software Landscape for the Density Matrix Renormalization Group
• Boundary quantum criticality in models of magnetic impurities coupled to bosonic baths
• Site-selective observation of spin dynamics of a Tomonaga-Luttinger liquid in frustrated Heisenberg chains