Spin dynamics of the generalized quantum spin compass chain

Abstract

We calculate the dynamical spin structure factor of the generalized spin-$1/2$ compass spin chain using the density matrix renormalization group. The model, also known as the twisted Kitaev spin chain, was recently proposed to be relevant for the description of the spin chain compound CoNb${}_2$O${}_6$. It features bond-dependent interactions and interpolates between an Ising chain and a one-dimensional variant of Kitaev's honeycomb spin model. The structure factor, in turn, is found to interpolate from gapped and non-dispersive in the Ising limit to gapless with non-trivial continua in the Kitaev limit. In particular, the component of the structure factor perpendicular to the Ising directions changes abruptly at the Kitaev point into a dispersionless continuum due to the emergence of an extensive groundstate degeneracy. We show this continuum is consistent with analytical Jordan-Wigner results. We also discuss implications for future inelastic scattering experiments and applications to materials, particularly CoNb${}_2$O${}_6$.

arXiv commentMain text: 10 pages, 6 figures. Supplemental material: 5 pages, 2 figures

References in corpus (67)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Strong electronic correlations from Hund's coupling
• Kitaev quantum spin liquid - concept and materialization
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Orbital order and fluctuations in Mott insulators
• Dynamical density-matrix renormalization-group method
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Orbital-selective Mott transitions in the degenerate Hubbard model
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Hunting Majorana Fermions in Kitaev Magnets
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Orbital effects in solids: basics, recent progress and opportunities
• Loschmidt Echo Revivals: Critical and Noncritical
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• The Density Matrix Renormalization Group for Strongly Correlated Electron Systems: A Generic Implementation
• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• New Results for the Correlation Functions of the Ising Model and the Transverse Ising Chain
• Interplay of Quantum Criticality and Geometric Frustration in Columbite
• Bound states and E_8 symmetry effects in perturbed quantum Ising chains
• Duality and domain wall dynamics in a twisted Kitaev chain
• Spin-orbital entangled state and realization of Kitaev physics in 3d cobalt compounds: a progress report
• Multicriticality and entanglement in the one-dimensional quantum compass model
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Non-local String Order Parameter in the $S=1/2$ Kitaev-Heisenberg Ladder
• Glide symmetry breaking and Ising criticality in the quasi-1D magnet CoNb${}_2$O${}_6$
• Phase diagram of the spin-1/2 Kitaev-Gamma chain and emergent SU(2) symmetry
• Ground state and low-energy excitations of the Kitaev-Heisenberg ladder
• Experimental Observation of Quantum Many-Body Excitations of $E_8$ Symmetry in the Ising Chain Ferromagnet CoNb${}_2$O${}_6$
• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Novel Magnetic Block States in Low-Dimensional Iron-Based Superconductors
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Majorana states in inhomogeneous spin ladders
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Exact solution for a quantum compass ladder
• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• Exact treatment of magnetism-driven ferroelectricity in the one-dimensional compass model
• Quantum Many-Body Scars in Spin-1 Kitaev Chains
• Engineering One-Dimensional Quantum Stripes from Superlattices of Two-Dimensional Layered Materials
• Quantum Phase Transition in the One-Dimensional Extended Quantum Compass Model in a Transverse Field
• Classical spin order near antiferromagnetic Kitaev point in the spin-1/2 Kitaev-Gamma chain
• Spectrum and correlation functions of a quasi-one-dimensional quantum Ising model
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Reverse quenching in a one-dimensional Kitaev model
• Thermodynamic Properties of the One-Dimensional Extended Quantum Compass Model in the Presence of a Transverse Field
• Quantum correlations and entanglement in a Kitaev-type spin chain
• Numerical study of the one-dimensional quantum compass model
• Flux mobility delocalization in the Kitaev spin ladder
• Thermal Transport in a one-dimensional Z${}_2$ Spin Liquid
• Single-ion properties of the transverse-field Ising model material CoNb${}_2$O${}_6$
• Exact zero modes in a quantum compass chain under inhomogeneous transverse fields
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Insights into the Anisotropic Spin-$S$ Kitaev Chain
• Field Induced Chiral Soliton Phase in the Kitaev Spin Chain
• Exploring spin-orbital models with dipolar fermions in zig-zag optical lattices
• The quantum compass chain in a transverse magnetic field
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder
• Energy dynamics in a generalized compass chain

Cited by in corpus (6)

• Shedding Light on Microscopic Details: 2D Spectroscopy of 1D Quantum Ising Magnets
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• Resonant inelastic x-ray scattering spectra of spinon, doublon, and quarton excitations of a spin-$\frac{1}{2}$ antiferromagnetic Heisenberg trimer chain
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain
• Signatures of Domain-Wall Confinement in Raman Spectroscopy of Ising Spin Chains
• Creating long-range entangled Majorana pairs: from spin-1/2 twisted Kitaev to generalized XY chains