Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model

Abstract

The phase diagram of the $S=1/2$ easy-axis triangular-lattice $J_1-J_2$ model is investigated using the density-matrix renormalization group and analytical insights. We find a significant spin-liquid region extending from the Heisenberg limit and residing between the Y phase-known as the magnetic analogue of the "supersolid"-and collinear stripe phase. The order parameters of the supersolid are analyzed and an understanding of its lack of ferromagnetic moment is suggested.

5 pages main text, 2+8 pages supplemental material, minor changes, accepted version

References in corpus (48)

• Quantum Spin Liquids
• The ITensor Software Library for Tensor Network Calculations
• A Field Guide to Spin Liquids
• Supersolid hardcore bosons on the triangular lattice
• Neel order in square and triangular lattice Heisenberg models
• Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO${}_4$
• 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
• Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
• Unusual ordered phases of highly frustrated magnets: a review
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Persistent supersolid phase of hard-core bosons on the triangular lattice
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Supersolid phase of hardcore bosons on triangular lattice
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Topography of Spin Liquids on a Triangular Lattice
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Static and Dynamical Properties of the Spin-1/2 Equilateral Triangular-Lattice Antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Possible itinerant excitations and quantum spin state transitions in the effective spin-1/2 triangular-lattice antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Strong quantum fluctuations in a quantum spin liquid candidate with a Co-based triangular lattice
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Extended supersolid phase of frustrated hard-core bosons on a triangular lattice
• Spin Supersolidity in Nearly Ideal Easy-axis Triangular Quantum Antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Avoided quasiparticle decay and enhanced excitation continuum in the spin-1/2 near-Heisenberg triangular antiferromagnet Ba3CoSb2O9
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice System
• Quantum stabilization of classically unstable plateau structures
• Supersolidity in the triangular lattice spin-1/2 XXZ model: A variational perspective
• Unexpected z-Direction Ising Antiferromagnetic Order in a frustrated Spin-1/2 $J_1-J_2$ XY Model on the Honeycomb Lattice
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Evidence of Dirac Quantum Spin Liquid in YbZn2GaO5
• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Where is the Quantum Spin Nematic?
• Continuum excitations in a spin-supersolid on a triangular lattice
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Double Magnon-Roton Excitations in the Triangular-Lattice Spin Supersolid
• Evidence of columnar order in the fully frustrated transverse field Ising model on the square lattice
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• Anomalous continuum scattering and higher-order van Hove singularity in the strongly anisotropic S = 1/2 triangular lattice antiferromagnet
• Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice

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• Quantum spin liquid ground state with the evidence of roton-like excitations at elevated temperatures in the triangular-lattice delafossite YbCuSe${}_2$
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