Wannier states and spin supersolid physics in the triangular antiferromagnet K${}_2$Co(SeO${}_3$)${}_2$

Abstract

We combine ultra-high-resolution inelastic neutron scattering and quantum Monte Carlo simulations to study thermodynamics and spin excitations in the spin-supersolid phase of the triangular lattice XXZ antiferromagnet K${}_2$Co(SeO${}_3$)${}_2$ under zero and non-zero magnetic field. BKT transitions signaling the onset of Ising and supersolid order are clearly identified, and the Wannier entropy is experimentally recovered just above the supersolid phase. At low temperatures, with an experimental resolution of about 23 $\mu$eV, no discrete coherent magnon modes are resolved within a broad scattering continuum. Alongside gapless excitations, a pseudo-Goldstone mode with a 0.06 meV gap is observed. A second, higher-energy continuum replaces single-spin-flip excitations of the Ising model. Under applied fields, the continuum evolves into coherent spin waves, with Goldstone and pseudo-Goldstone sectors responding differently. The experiments and simulations show excellent quantitative agreement.

18 + 6 pages, 18 + 5 figures

References in corpus (50)

• Quantum Spin Liquids
• Quantum Spin Liquids
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Supersolids: what and where are they ?
• Supersolid hardcore bosons on the triangular lattice
• Field-tunable quantum disordered ground state in the triangular lattice antiferromagnet NaYbO${}_2$
• 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
• HORACE: software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Persistent supersolid phase of hard-core bosons on the triangular lattice
• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Static and Dynamical Properties of the Spin-1/2 Equilateral Triangular-Lattice Antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$
• Extended quantum critical phase in a magnetized spin-1/2 antiferromagnetic chain
• Superfluids and Supersolids on Frustrated 2D Lattices
• Specific heat of quasi-2D antiferromagnetic Heisenberg models with varying inter-planar couplings
• Quantum stabilization of 1/3-magnetization plateau in Cs_2CuBr_4
• The nature of spin excitations in the one-third magnetization plateau phase of Ba${}_3$CoSb${}_2$O${}_9$
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• Field Induced Supersolid Phase in Spin-One Heisenberg Models
• Pseudo-Goldstone gaps and order-by-quantum-disorder in frustrated magnets
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
• Roton minimum as fingerprint of magnon-Higgs scattering in ordered quantum antiferromagnets
• Extended supersolid phase of frustrated hard-core bosons on a triangular lattice
• Spin Supersolidity in Nearly Ideal Easy-axis Triangular Quantum Antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Phase Diagram and Magnetic Excitations of Anisotropic Spin-One Magnets
• Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice System
• Spin Supersolid in Anisotropic Spin-One Heisenberg Chain
• Supersolidity in the triangular lattice spin-1/2 XXZ model: A variational perspective
• Variational wavefunction study of the triangular lattice supersolid
• Interplay of anisotropy and frustration: triple transitions in a triangular-lattice antiferromagnet
• Continuum excitations in a spin-supersolid on a triangular lattice
• Plaquette Singlet Transition, Magnetic Barocaloric Effect, and Spin Supersolidity in the Shastry-Sutherland Model
• Evidence of Two-Spinon Bound States in the Magnetic Spectrum of Ba${}_3$CoSb${}_2$O${}_9$
• Magnetic field effects on the quantum spin liquid behaviors of NaYbS${}_2$
• Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices
• Double Magnon-Roton Excitations in the Triangular-Lattice Spin Supersolid
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Monte Carlo Study of the Anisotropic Heisenberg Antiferromagnet on the Triangular Lattice
• Quantum Spin Supersolid as a precursory Dirac Spin Liquid in a Triangular Lattice Antiferromagnet
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• DSQSS: Discrete Space Quantum Systems Solver
• Spin supersolid phase in coupled alternating spin chains
• SmoQyDEAC.jl: A differential evolution package for the analytic continuation of imaginary time correlation functions
• Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets

Cited by in corpus (9)

• Spin Seebeck Effect of Triangular-lattice Spin Supersolid
• Tunable chiral and nematic states in the triple-Q antiferromagnet Co${}_{1/3}$TaS${}_2$
• Dynamics and thermodynamics of the S = 5/2 almost Heisenberg triangular lattice antiferromagnet K2Mn(SeO3)2
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
• Nontrivial three-sublattice magnetization in the easy-axis spin-1/2 XXZ antiferromagnet on the triangular lattice
• Non-linear spin wave theory in the strong easy-axis limit of the triangular XXZ model
• The anisotropic Heisenberg model close to the Ising limit: triangular lattice vs. effective models
• Canted ferromagnetic order in a distorted triangular-lattice magnet Na${}_2$SrCo(VO${}_4$)${}_2$
• Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model