Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet

Abstract

Motivated by a recent experimental study on the quantum Ising magnet ${\text{K}}_2\text{Co}({\text{SeO}}_3{)}_2$ that presented spectroscopic evidence of zero-field supersolidity (Chen et al., arXiv:2402.15869), we simulate the excitation spectrum of the corresponding microscopic $XXZ$ model for the compound, using the recently developed excitation ansatz for infinite projected entangled-pair states. We map out the ground state phase diagram and compute the dynamical spin structure factors across a range of magnetic field strengths, focusing especially on the two supersolid phases found near zero and saturation fields. Our simulated excitation spectra for the zero-field supersolid "Y" phase are in excellent agreement with the experimental data - recovering the low-energy branches and integer quantized excited energy levels ${\omega }_n=n{J}_{zz}$. Furthermore, we demonstrate the nonlocal multi-spin-flip features for modes at ${\omega }_2$, indicative of their multi-magnon nature. Additionally, we identify characteristics of the high-field supersolid "$\Psi$" phase in the simulated spectra, which should be compared with future experimental results.

arXiv comment5 pages, 4 figures. Add discussion on S^{zz} and pseudo-Goldstone gap in SI

References in corpus (57)

• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Criticality, the area law, and the computational power of PEPS
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Corner Transfer Matrix Renormalization Group Method
• Supersolids: what and where are they ?
• Supersolid hardcore bosons on the triangular lattice
• Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
• 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
• Supersolid symmetry breaking from compressional oscillations in a dipolar quantum gas
• The low-energy Goldstone mode in a trapped dipolar supersolid
• Persistent supersolid phase of hard-core bosons on the triangular lattice
• Differentiable Programming Tensor Networks
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Absence of supersolidity in solid helium in porous Vycor glass
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Supersolid phase of hardcore bosons on triangular lattice
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Anisotropic field-induced ordering in the triangular-lattice quantum spin liquid NaYbSe${}_2$
• Topography of Spin Liquids on a Triangular Lattice
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Field-induced instability of the quantum-spin-liquid ground state in the $J_{\mathrm{eff}}=\frac{1}{2}$ triangular-lattice compound NaYbO${}_2$
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Faster Methods for Contracting Infinite 2D Tensor Networks
• Two-Dimensional Supersolid Formation in Dipolar Condensates
• The nature of spin excitations in the one-third magnetization plateau phase of Ba${}_3$CoSb${}_2$O${}_9$
• Excitations and the tangent space of projected entangled-pair states
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Theory of a competitive spin liquid state for weak Mott insulators on the triangular lattice
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Simulating excitation spectra with projected entangled-pair states
• 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
• Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Excitations with projected entangled pair states using the corner transfer matrix method
• Automatic differentiation applied to excitations with Projected Entangled Pair States
• Spin Excitation Spectra of Anisotropic Spin-$1/2$ Triangular Lattice Heisenberg Antiferromagnets
• Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe${}_2$
• Field-Induced Spin Excitations in the Spin-1/2 Triangular-Lattice Antiferromagnet CsYbSe${}_2$
• Evidence of Dirac Quantum Spin Liquid in YbZn2GaO5
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• 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
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices
• Double Magnon-Roton Excitations in the Triangular-Lattice Spin Supersolid
• Continuum of spin excitations in an ordered magnet
• Supersolid states in a spin system-phase diagram and collective excitations
• Generating function for projected entangled-pair states
• Field induced non-BEC transitions in frustrated magnets
• Gauge symmetry of excited states in projected entangled-pair state simulations

Cited by in corpus (13)

• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Wannier states and spin supersolid physics in the triangular antiferromagnet K${}_2$Co(SeO${}_3$)${}_2$
• Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid
• From continuum excitations to sharp magnons via transverse magnetic field in the spin-1/2 Ising-like triangular lattice antiferromagnet Na2BaCo(PO4)2
• Possible Observation of Quadrupole Waves in Spin Nematics
• Spin Seebeck Effect of Triangular-lattice Spin Supersolid
• Slow convergence of spin-wave expansion and magnon dispersion in the 1/3 plateau of the triangular XXZ antiferromagnet
• Emergent Spin Supersolids in Frustrated Quantum Materials
• Sharp spectroscopic fingerprints of disorder in an incompressible magnetic state
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
• The anisotropic Heisenberg model close to the Ising limit: triangular lattice vs. effective models
• Non-linear spin wave theory in the strong easy-axis limit of the triangular XXZ model
• Dynamical Spectral Function of the Kagome Quantum Spin Liquid