Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model

Abstract

We study the effects of bond randomness in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model using exact diagonalization and density matrix renormalization group. With increasing bond randomness, we identify a randomness induced spin-liquid-like phase without any magnetic order, dimer order, spin glass order, or valence-bond glass order. The finite-size scaling of gaps suggests the gapless nature of both spin triplet and singlet excitations, which is further supported by the broad continuum of dynamical spin structure factor. By studying the bipartite entanglement spectrum of the system on cylinder geometry, we identify the features of the low-lying entanglement spectrum in the spin-liquid-like phase, which may distinguish this randomness induced spin-liquid-like phase and the intrinsic spin liquid phase in the clean $J_1-J_2$ triangular Heisenberg model. We further discuss the nature of this spin-liquid-like phase and the indication of our results for understanding spin-liquid-like materials with triangular-lattice structure.

arXiv comment14 pages, 18 figures

References in corpus (56)

• Quantum Spin Liquids
• Quantum Spin Liquid States
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Spin-lattice coupling in frustrated antiferromagnets
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Entanglement entropy of random quantum critical points in one dimension
• Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO${}_4$
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• 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
• Infinite-randomness quantum Ising critical fixed points
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• The Non-Abelian Density Matrix Renormalization Group Algorithm
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Spin-glass ground state in a triangular-lattice compound YbZnGaO${}_4$
• Topography of Spin Liquids on a Triangular Lattice
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Quantum spin-liquid behavior in the spin-1/2 random Heisenberg antiferromagnet on the triangular lattice
• Disorder-Induced Entanglement in Spin Ice Pyrochlores
• Infinite-randomness critical point in the two-dimensional disordered contact process
• Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
• Static and dynamical spin correlations of the S=1/2 random-bond antiferromagnetic Heisenberg model on the triangular and the kagome lattices
• Infinite-randomness quantum critical points induced by dissipation
• Infinite disorder scaling of random quantum magnets in three and higher dimensions
• Valence Bond Glass Phase in the Diluted Kagome Antiferromagnets
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Quantum spin-liquid behavior in the spin-1/2 random-bond Heisenberg antiferromagnet on the kagome lattice
• Nearest-neighbor resonating valence bonds in YbMgGaO4
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Hierarchy of exchange interactions in the triangular-lattice spin-liquid YbMgGaO${}_4$
• Low-energy fixed points of random Heisenberg models
• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Chaos and universality in two-dimensional Ising spin glasses
• Zero and low temperature behavior of the two-dimensional $\pm J$ Ising spin glass
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Spin Reduction Transition in Spin-3/2 Random Heisenberg Chains
• Strongly disordered spin ladders
• Random-exchange quantum Heisenberg antiferromagnets on the square lattice
• Randomness-induced quantum spin liquid behavior in the s=1/2 random J1-J2 Heisenberg antiferromagnet on the honeycomb lattice
• The Valence Bond Glass phase
• Finite-temperature behavior of a classical spin-orbit-coupled model for ${\text{YbMgGaO}}_4$ with and without bond disorder
• Dynamical properties of the $S=\frac{1}{2}$ random Heisenberg chain
• Properties of the random-singlet phase: from the disordered Heisenberg chain to an amorphous valence-bond solid
• Quantum disorder and Griffiths singularities in bond-diluted two-dimensional Heisenberg antiferromagnets
• Two-dimensional randomly-frustrated spin 1/2 Heisenberg model
• Emergent SU(3) symmetry in random spin-1 chains
• Dual time scales in simulated annealing of a two-dimensional Ising spin glass
• Spin Glass in the Bond-Diluted J1-J2 Ising Model on the Square Lattice
• Ground-State Phase Diagrams of the Two-Dimensional Quantum Heisenberg Spin Glass Models

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• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
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• Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
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• Frustration-induced quantum spin liquid behavior in the $s=$1/2 random-bond Heisenberg antiferromagnet on the zigzag chain
• Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models
• Non-magnetic ion site disorder effects on the quantum magnetism of a spin-1/2 equilateral triangular lattice antiferromagnet
• Dynamical properties of the Haldane chain with bond disorder
• The Future of the Correlated Electron Problem
• Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
• Local spin dynamics in geometrically frustrated Mo pyrochlore antiferromagnet Lu${}_2$Mo${}_2$O${}_{5-y}$N${}_2$
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• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Random singlet physics in exchange disordered 2D triangular YbCu${}_{1.14}$Se${}_2$
• Entanglement-based tensor-network strong-disorder renormalization group
• Interplay of disorder and spin liquid physics in the triangular-lattice antiferromagnet YbZn2GaO5