Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field

Abstract

We present accurate numerical estimates for the correlation amplitudes of leading and main subleading terms of the two- and four-spin correlation functions in the one-dimensional spin-1/2 XXZ model under a magnetic field. These data are obtained by fitting the correlation functions, computed numerically with the density-matrix renormalization-group method, to the corresponding correlation functions in the low-energy effective theory. For this purpose we have developed the Abelian bosonization approach to the spin chain under the open boundary conditions. We use the numerical data of the correlation amplitudes to quantitatively estimate spin gaps induced by a transverse staggered field and by exchange anisotropy.

18 pages, 6 figures, 1 table

References in corpus (2)

• Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field
• Dynamical Structure Factor in Cu Benzoate and other spin-1/2 antiferromagnetic chains

Cited by in corpus (95)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Ordering in spatially anisotropic triangular antiferromagnets
• Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4
• Divergence of the entanglement range in low dimensional quantum systems
• Correlation functions and excitation spectrum of the frustrated ferromagnetic spin-1/2 chain in an external magnetic field
• Non-equilibrium steady states in the quantum XXZ spin chain
• Correlation functions of the open XXZ chain I
• Spin-Nematic and Spin-Density-Wave Orders in Spatially Anisotropic Frustrated Magnets in a Magnetic Field
• Connecting distant ends of one-dimensional critical systems by a sine-square deformation
• Correlation functions of the open XXZ chain II
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
• Field-induced chiral phase in isotropic frustrated spin chains
• Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
• Ground States of Spin-1/2 Triangular Antiferromagnets in a Magnetic Field
• Phase diagram of the half-filled one-dimensional t-V-V' model
• Field and temperature dependence of the NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains
• Vector chiral order in frustrated spin chains
• Field-induced incommensurate order for the quasi-one-dimensional XXZ model in a magnetic field
• Elementary excitations of S=1/2 one-dimensional antiferromagnet KCuGaF6 in magnetic field and quantum sine-Gordon model
• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
• Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
• The anisotropic Heisenberg chain in coexisting transverse and longitudinal magnetic fields
• Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders
• Giant magnetic-field dependence of the coupling between spin Tomonaga-Luttinger liquids in BaCo2V2O8
• Reading entanglement in terms of spin configurations in quantum magnets
• Current fidelity susceptibility and conductivity in one-dimensional lattice models with open and periodic boundary conditions
• Combined unitary and symmetric group approach applied to low-dimensional spin systems
• Phonon-modulated magnetic interactions and spin Tomonaga-Luttinger liquid in the p-orbital antiferromagnet CsO2
• Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain
• Coexistence of vector chiral order and Tomonaga-Luttinger liquid in the frustrated three-leg spin tube in a magnetic field
• Photon echo from lensing of fractional excitations in Tomonaga-Luttinger spin liquid
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Dynamics of a Heisenberg spin chain in the quantum critical regime: NMR experiment versus effective field theory
• Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin chains
• Spin Density Wave versus Fractional Magnetization Plateau in a Triangular Antiferromagnet
• Polar molecules in frustrated triangular ladders
• Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
• Temperature dependence of the NMR spin-lattice relaxation rate for spin-1/2 chains
• Nuclear magnetic resonance study of the magnetic-field-induced ordered phase in the NiCl2-4SC(NH2)2 compound
• Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction
• Haldane-gap chains in a magnetic field
• Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
• Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains
• Boundary Resonances in S = 1/2 Antiferromagnetic Chains under a Staggered Field
• Dynamical response and dimensional crossover for spatially anisotropic antiferromagnets
• Control of Magnetic and Topological Orders with a DC Electric Field
• Spin-Chirality Separation and S_3-Symmetry Breakings in the Magnetization Plateau of the Quantum Spin Tube
• Topological transition between competing orders in quantum spin chains
• Direct determination of the Tomonaga-Luttinger parameter $K$ in quasi-one-dimensional spin systems
• Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field
• Low temperature ballistic spin transport in the S=1/2 antiferromagnetic Heisenberg chain compound SrCuO2
• Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field
• Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets
• Four-spin-exchange- and magnetic-field-induced chiral order in two-leg spin ladders
• Thermodynamic properties of quantum sine-Gordon spin chain system KCuGaF6
• The Heisenberg spin-1/2 XXZ chain in the presence of electric and magnetic fields
• Magnetic-Field-Induced Antiferromagnetism in Two-Dimensional Hubbard Model: Analysis of CeRhIn${}_5$
• Phase diagram of weakly coupled Heisenberg spin chains subject to a uniform Dzyaloshinskii-Moriya interaction
• Breathers and Raman scattering in a two-leg ladder with staggered Dzialoshinskii-Moriya interaction
• Polarization amplitude near quantum critical points
• Conventional and inverse magnetocaloric and electrocaloric effects of a mixed spin-(1/2, 1) Heisenberg dimer
• Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions
• Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
• From Kondo effect to weak-link regime in quantum spin-1/2 spin chains
• Magnetic phase diagram of a quasi-one-dimensional quantum spin system
• Magnetoelastic study on the frustrated quasi-one-dimensional spin-1/2 magnet LiCuVO${}_4$
• Majorana end states in an interacting quantum wire
• Theory of Raman Scattering in One-Dimensional Quantum Spin-1/2 Antiferromagnets
• Interacting bosons in generalized zig-zag and railroad-trestle models
• Control of superexchange interactions with DC electric fields
• Adjacent Spin Operator Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• Zigzag materials: selective interchain couplings control the coexistence of one-dimensional physics and deviations from it
• Kondo Length in Bosonic Lattices
• Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-$\frac{1}{2}$ chain
• Anisotropy-induced soliton excitation in magnetized strong-rung spin ladders
• Field-induced dimer orders in quantum spin chains
• Spin Seebeck Effect of Triangular-lattice Spin Supersolid
• Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya interaction
• Correlation function for the one-dimensional extended Hubbard model at quarter filling
• Magnetic properties of an antiferromagnetic spin-1/2 XYZ model in the presence of different magnetic fields: finite-size effects of inhomogeneity property
• NMR relaxation rate in the field-induced octupolar liquid phase of spin-1/2 J1-J2 frustrated chains
• Entanglement Perturbation Theory for Antiferromagnetic Heisenberg Spin Chains
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains
• Entanglement Perturbation Theory for Infinite Quasi-1D Quantum Systems
• One dimensional Bose-Hubbard model with long range hopping
• Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm
• Spin pumping into quantum spin chains
• Correlation functions at the topological quantum phase transition in the S=1 XXZ chain with single-ion anisotropy
• Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems
• Mapping current and activity fluctuations in exclusion processes: consequences and open questions