Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model

Abstract

We investigate the interplay between spatial anisotropy and further exchange interactions in the spin-$\frac{1}{2}$ Heisenberg antiferromagnetic model on a triangular lattice. We use the Schwinger boson theory by including Gaussian fluctuations above the mean-field approach. The phase diagram exhibits a strong reduction of the long range collinear and incommensurate spirals regions with respect to the mean-field ones. This reduction is accompanied by the emergence of its short range order counterparts, leaving an ample room for $0$-flux and nematic spin liquid regions. Remarkably, within the neighborhood of the spatially isotropic line, there is a range where the spirals are so fragile that only the commensurate $120^{\circ }$ Néel ones survive. The good agreement with recent variational Monte Carlo predictions gives support to the rich phase diagram induced by spatial anisotropy.

arXiv comment8 pages, 8 figures

References in corpus (55)

• Quantum Spin Liquids
• Quantum Spin Liquid States
• Quantum Spin Liquids
• Quantum Orders and Symmetric Spin Liquids
• Quantum magnetism and criticality
• 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
• Neel order in square and triangular lattice Heisenberg models
• Experimental Realization of Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Magnetization Process and Collective Excitations in the S=1/2 Triangular-Lattice Heisenberg Antiferromagnet Ba3CoSb2O9
• Direct Measurement of the Spin Hamiltonian and Observation of Condensation of Magnons in the 2D Frustrated Quantum Magnet Cs2CuCl4
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
• Choreographed entangle dances: topological states of quantum matter
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Topography of Spin Liquids on a Triangular Lattice
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Static and Dynamical Properties of the Spin-1/2 Equilateral Triangular-Lattice Antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$
• Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4
• Dynamical structure factor of triangular-lattice antiferromagnet
• Quantum Phase Transition in Frustrated Two-Dimensional Antiferromagnets
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants
• The nature of spin excitations in the one-third magnetization plateau phase of Ba${}_3$CoSb${}_2$O${}_9$
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Spin wave analysis to the spatially-anisotropic Heisenberg antiferromagnet on triangular lattice
• Spin liquids in geometrically perfect triangular antiferromagnets
• Schwinger-boson approach to quantum spin systems: Gaussian fluctuactions in the "natural" gauge
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Magnetic and quantum disordered phases in triangular-lattice Heisenberg antiferromagnets
• Symplectic N and time reversal in frustrated magnetism
• Gapped spin liquid phase in the J1-J2 Heisenberg model by a Bosonic resonating valence-bond ansatz
• Symmetric $Z_2$ spin liquids and their neighboring phases on triangular lattice
• Algebraic vortex liquid in spin-1/2 triangular antiferromagnets: Scenario for Cs_2CuCl_4
• Avoided quasiparticle decay and enhanced excitation continuum in the spin-1/2 near-Heisenberg triangular antiferromagnet Ba3CoSb2O9
• A test of the bosonic spinon theory for the triangular antiferromagnet spectrum
• Variational wave functions for the $S=1/2$ Heisenberg model on the anisotropic triangular lattice: Spin liquids and spiral orders
• Rotational invariance and order-parameter stiffness in frustrated quantum spin systems
• Excitation spectra and ground state properties of the layered spin-1/2 frustrated antiferromagnets Cs_2CuCl_4 and Cs_2CuBr_4
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Spin liquid phase in a spatially anisotropic frustrated antiferromagnet
• An Exact Diagonalization Study of the Anisotropic Triangular Lattice Heisenberg Model Using Twisted Boundary Conditions
• Continuous phase transition from Néel state to Z_2 spin liquid state on a square lattice
• Large-$S$ limit of the large-$N$ theory for the triangular antiferromagnet
• Large Easy Axis Anisotropy in the One-Dimensional Magnet BaMo(PO${}_4$)${}_2$
• One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice
• Stripe order and magnetic anisotropy in the $S=1$ antiferromagnet BaMoP${}_2$O${}_8$

Cited by in corpus (7)

• Phase diagram of the anisotropic triangular lattice Hubbard model
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• Possible coexistence of short-range resonating-valence-bond and long-range stripe correlations in the spatially anisotropic triangular-lattice quantum magnet Cu${}_2$(OH)${}_3$NO${}_3$
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids