Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study

Abstract

We study the ground-state properties of the quantum spin liquid (QSL) phases of the spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice with nearest- ($J_1$), next-nearest- ($J_2$), and third-neighbor ($J_3$) interactions by using density-matrix renormalization group (DMRG) method. By combining parallel DMRG with $SU(2)$ spin rotational symmetry, we are able to obtain accurate results on large cylinders with length up to $L_x=48$ and circumference $L_y=6-12$. Our results suggest that the QSL phase of the $J_1$-$J_2$ Heisenberg model is gapped which is characterized by the absence of gapless mode, short-range spin-spin and dimer-dimer correlations. In the presence of $J_3$ interaction, we find that a new critical QSL with a single gapless mode emerges. While both spin-spin and scalar chiral-chiral correlations are short-ranged, dimer-dimer correlations are quasi-long-ranged which decays as a power-law at long distances.

arXiv comment4 pages, 5 figures + supplemental material

References in corpus (38)

• Non-Abelian Anyons and Topological Quantum Computation
• Entanglement Entropy and Quantum Field Theory
• Quantum Spin Liquids
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Theory of Intertwined Orders in High Temperature Superconductors
• Quantum Spin Liquids
• An RVB phase in the triangular lattice quantum dimer model
• Inversion symmetry breaking in noncollinear magnetic phase of a triangular lattice antiferromagnet CuFeO2
• Spin-driven ferroelectricity and possible antiferroelectricity in triangular lattice antiferromagnets ACrO2 (A = Cu, Ag, Li, or Na)
• 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
• The Non-Abelian Density Matrix Renormalization Group Algorithm
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Chiral Spin Liquid and Quantum Criticality in Extended $S=1/2$ Heisenberg Models on the Triangular Lattice
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• 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
• Fermionic magnons, non-Abelian spinons, and spin quantum Hall effect from an exactly solvable Kitaev Hamiltonian with SU(2) symmetry
• Magnetic Interaction in the Geometrically Frustrated Triangular Lattice Antiferromagnet $\mathrm{CuFe}{\mathrm{O}}_2$
• Theory of a competitive spin liquid state for weak Mott insulators on the triangular lattice
• Real-Space Parallel Density Matrix Renormalization Group
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• 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
• Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• Exact Spin Liquid Ground States of the Quantum Dimer Model on the Square and Honeycomb Lattices
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Evidence of pair-density wave in doping Kitaev spin liquid on the honeycomb lattice
• Evidence of Two-Spinon Bound States in the Magnetic Spectrum of Ba${}_3$CoSb${}_2$O${}_9$
• Understanding repulsively mediated superconductivity of correlated electrons via massively parallel DMRG
• Improved parallelization techniques for the density matrix renormalization group

Cited by in corpus (14)

• Empowering deep neural quantum states through efficient optimization
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Evidence of quantum spin liquid state in a Cu${}^{2+}$-based $S=1/2$ triangular lattice antiferromagnet
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Quantum spin liquid from electron-phonon coupling
• Sign-problem-free effective models of triangular lattice quantum antiferromagnets
• Density-Matrix Mean-Field Theory
• Gapped magnetic ground state in the spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Ag${}_2$(CN)${}_3$ suggested by magnetic spectroscopy
• Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides