Randomness-induced quantum spin liquid behavior in the s=1/2 random J1-J2 Heisenberg antiferromagnet on the honeycomb lattice

Abstract

We investigate the ground-state and finite-temperature properties of the bond-random $s=1/2$ Heisenberg model on a honeycomb lattice with frustrated nearest- and next-nearest-neighbor antiferromagnetic interactions, $J_1$ and $J_2$, by the exact diagonalization and the Hams--de Raedt methods. The ground-state phase diagram of the model is constructed in the randomness versus the frustration ($J_2/J_1$) plane, with the aim of clarifying the effects of randomness and frustration in stabilizing a variety of distinct phases. We find that the randomness induces the gapless quantum spin liquid (QSL)-like state, the random-singlet state, in a wide range of parameter space. The observed robustness of the random-singlet state suggests that the gapless QSL-like behaviors might be realized in a wide class of frustrated quantum magnets possessing a certain amount of randomness or inhomogeneity, without fine-tuning the interaction parameters. Possible implications to recent experiments on the honeycomb-lattice magnets Ba${}_3$CuSb${}_2$O${}_9$ and 6HB-Ba${}_3$NiSb${}_2$O${}_9$ exhibiting the gapless QSL-like behaviors are discussed.

J. Phys. Soc. Jpn. vol.86 no.4 (2017), in press

References in corpus (17)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• 17O NMR study of the intrinsic magnetic susceptibility and spin dynamics of the quantum kagome antiferromagnet ZnCu3(OH)6Cl2
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• Emergence of inhomogeneous moments from spin liquid in the triangular-lattice Mott insulator $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model
• Frustrated two dimensional quantum magnets
• Disordered Ground State and Magnetic Field-Induced Long-Range Order in an S=3/2 Antiferromagnetic Honeycomb Lattice Compound Bi3Mn4O12(NO3)
• $U(1)$-symmetric infinite projected entangled-pair state study of the spin-$1/2$ square $J_1-J_2$ Heisenberg model
• Plaquette valence-bond ordering in J_1-J_2 Heisenberg antiferromagnet on the honeycomb lattice
• Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry
• Tuning the $S=1/2$ square-lattice antiferromagnet Sr${}_2$Cu(Te${}_{1-x}$W${}_x$)O${}_6$ from Néel order to quantum disorder to columnar order
• Valence-Bond-Glass State with Singlet Gap in the Spin-1/2 Square-Lattice Random $J_1$-$J_2$ Heisenberg Antiferromagnet Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
• Exploring the spin-orbital ground state of Ba3CuSb2O9
• Complete phase diagram of the spin-1/2 $J_1$-$J_2$-$J_3$ model (with $J_3=J_2$) on the honeycomb lattice
• Resonating Valence-Bond State in an Orbitally Degenerate Quantum Magnet with Dynamical Jahn-Teller Effect

Cited by in corpus (35)

• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• Spin-liquid-like state in a spin-1/2 square-lattice antiferromagnet perovskite induced by $d^{10}$-$d^0$ cation mixing
• Nature of the randomness-induced quantum spin liquids in two dimensions
• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• Short range order in the quantum XXZ honeycomb lattice material BaCo${}_2$(PO${}_4$)${}_2$
• Coexistence of magnetic order and persistent spin dynamics in a quantum kagome antiferromagnet with no intersite mixing
• Tuning the $S=1/2$ square-lattice antiferromagnet Sr${}_2$Cu(Te${}_{1-x}$W${}_x$)O${}_6$ from Néel order to quantum disorder to columnar order
• Randomness-induced quantum spin liquid behavior in the $s=\frac{1}{2}$ random $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice
• Randomness-induced quantum spin liquid behavior in the $s=$1/2 bond-random Heisenberg antiferromagnet on the pyrochlore lattice
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Valence-Bond-Glass State with Singlet Gap in the Spin-1/2 Square-Lattice Random $J_1$-$J_2$ Heisenberg Antiferromagnet Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
• Signature of a randomness-driven spin-liquid state in a frustrated magnet
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Valence bond glass state in the 4$d^1$ fcc antiferromagnet Ba${}_2$LuMoO${}_6$
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Freezing of a disorder induced quantum spin liquid
• Spin-Orbital Entangled Liquid State in the Copper Oxide Ba${}_3$CuSb${}_2$O${}_9$
• Tensor-network strong-disorder renormalization groups for random quantum spin systems in two dimensions
• Structure, spin correlations and magnetism of the $S=1/2$ square-lattice antiferromagnet Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$ ($0\le x\le 1$)
• Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
• Numerical linked-cluster expansions for disordered lattice models
• Possible glass-like random singlet magnetic state in 1T-TaS2
• Frustration-induced quantum spin liquid behavior in the $s=$1/2 random-bond Heisenberg antiferromagnet on the zigzag chain
• Dimer Crystallization Induced by Elemental Substitution in the Honeycomb Lattice of Ru1-xOsxCl3
• Magnetic properties of a spin-1/2 octagonal lattice
• Quantum spin solver near saturation: QS${}_{}^3$
• Possible realization of a randomness-driven quantum disordered state in an S = 1/2 antiferromagnet Sr3CuTa2O9
• Non-magnetic ion site disorder effects on the quantum magnetism of a spin-1/2 equilateral triangular lattice antiferromagnet
• Quantum spin state stabilized by coupling with classical spins
• Scaling and data collapse of two-dimensional random singlet state in magnetic field
• Quantum gapped state in a spin-1/2 distorted honeycomb-based lattice with frustration
• Dynamical scaling behavior of the two-dimensional random singlet state in the random $Q$ model
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• Random singlet physics in exchange disordered 2D triangular YbCu${}_{1.14}$Se${}_2$
• Entanglement-based tensor-network strong-disorder renormalization group