Transverse spectral functions and Dzyaloshinskii-Moriya interactions in XXZ spin chains

Abstract

Recently much progress has been made in applying field theory methods, first developed to study X-ray edge singularities, to interacting one dimensional systems in order to include band curvature effects and study edge singularities at arbitrary momentum. Finding experimental confirmations of this theory remains an open challenge. Here we point out that spin chains with uniform Dzyaloshinskii-Moriya (DM) interactions provide an opportunity to test these theories since these interactions may be exactly eliminated by a gauge transformation which shifts the momentum. However, this requires an extension of these X-ray edge methods to the transverse spectral function of the xxz spin chain in a magnetic field, which we provide.

References in corpus (11)

• Universal theory of nonlinear Luttinger liquids
• Dynamic response of one-dimensional interacting fermions
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Spectral function of spinless fermions on a one-dimensional lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Spin-orbital effects in magnetized quantum wires and spin chains
• Modes of magnetic resonance in the spin liquid phase of Cs2CuCl4
• Nonuniversal prefactors in correlation functions of 1D quantum liquids

Cited by in corpus (32)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Eta-pairing states as true scars in an extended Hubbard Model
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction
• Charge dynamics in half-filled Hubbard chains with finite on-site interaction
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Equilibrium dynamics of the XX chain
• Exact treatment of magnetism-driven ferroelectricity in the one-dimensional compass model
• Magnetic resonance in the ordered phases of the 2D frustrated quantum magnet Cs2CuCl4
• Spinon magnetic resonance of quantum spin liquids
• Electron spin resonance in a model S=1/2 chain antiferromagnet with a uniform Dzyaloshinskii--Moriya interaction
• Spin-charge separated quasiparticles in one dimensional quantum fluids
• Long time correlations of nonlinear Luttinger liquids
• Heisenberg and Dzyaloshinskii-Moriya interactions controlled by molecular packing in tri-nuclear organometallic clusters
• Ineffectiveness of the Dzyaloshinskii-Moriya interaction in the dynamical quantum phase transition in the ITF model
• Thermodynamic properties of quantum sine-Gordon spin chain system KCuGaF6
• High-field magnetic resonance of spinons and magnons in a triangular lattice S=1/2 antiferromagnet Cs2CuCl4
• Electron Spin Resonance of the Interacting Spinon Liquid
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Phase diagram of weakly coupled Heisenberg spin chains subject to a uniform Dzyaloshinskii-Moriya interaction
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Spin gap in a quasi-1D S=1/2 antiferromagnet K2CuSO4Cl2
• Quantum phase transitions in networks of Lipkin-Meshkov-Glick models
• The dynamic structure factor in impurity-doped spin chains
• Interplay of spin-orbit coupling and Zeeman splitting in the absorption lineshape of 2D fermions
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Hydrodynamics of interacting spinons in the magnetized spin-$1/2$ chain with the uniform Dzyaloshinskii-Moriya interaction
• Structure factor of interacting one-dimensional helical systems
• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• Long time thermal asymptotics of nonlinear Luttinger liquid from inverse scattering
• Spinon and eta-spinon correlation functions
• General structure factor and dynamic effects of the Dzyaloshinskii-Moriya interaction in S = 1/2 clusters