Quantum dynamics of topological strings in a frustrated Ising antiferromagnet

Abstract

We investigate the quantum dynamics of the transverse field Ising model on the triangular lattice through large-scale quantum Monte Carlo simulations and stochastic analytic continuation. At weak transverse field, we capture for the first time the excitations related to topological quantum strings, which exhibits continuum features described by XY chain along the strings and those in accord with "Luttinger string liquid" in the perpendicular direction. The continuum features can be well understood from the perspective of topological strings. Furthermore, we identify the contribution of strings from the excitation spectrum. Our study provides characteristic features for the experimental search for string-related excitations and proposes a new theoretical method to pinpoint topological excitations in the experimental spectra.

arXiv comment10 pages, 9 figures, comments are welcome and more information at http://cqutp.org/users/xfzhang/

References in corpus (44)

• Anyons in an exactly solved model and beyond
• Magnetic Monopoles in Spin Ice
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Observation of topological phenomena in a programmable lattice of 1,800 qubits
• Dipolar spin correlations in classical pyrochlore magnets
• String patterns in the doped Hubbard model
• Magnetic neutron scattering in hole doped cuprate superconductors
• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Ground State and Finite Temperature Lanczos Methods
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Frustration and quantum criticality
• Constrained sampling method for analytic continuation
• Kosterlitz-Thouless Melting of Magnetic Order in the Triangular Quantum Ising Material TmMgGaO${}_4$
• Quantum electric-dipole liquid on a triangular lattice
• Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO${}_4$
• Quantum strings in quantum spin ice
• Triangular lattice quantum dimer model with variable dimer density
• Partial up-up-down order with the continuously distributed order parameter in the triangular antiferromagnet TmMgGaO4
• Absence of zero-point entropy in a triangular Ising antiferromagnet
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Phase Diagram of Triangular Lattice Quantum Ising Model under External Field
• Order-out-of-disorder in a gas of elastic quantum strings in 2+1 dimensions
• Quantizing Charged Magnetic Domain Walls: Strings on a Lattice
• Quantum domain walls induce incommensurate supersolid phase on the anisotropic triangular lattice
• Phase diagram of an extended quantum dimer model on the hexagonal lattice
• Ordering of geometrically frustrated classical and quantum Ising magnets
• Chiral edge states and fractional charge separation in interacting bosons on a Kagome lattice
• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• String Picture of a Frustrated Quantum Magnet and Dimer Model
• Spinon walk in quantum spin ice
• Toward a 3d Ising model with a weakly-coupled string theory dual
• The geometric order of stripes and Luttinger liquids
• Stiffness from Disorder in Triangular-Lattice Ising Thin Films
• Emergent Rokhsar-Kivelson point in realistic quantum Ising models
• Strings in strongly correlated electron systems

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