Evaluation of Dynamic spin structure factor for the spin-1/2 XXZ chain in a magnetic field
arXiv:cond-mat/0410102 · doi:10.1143/JPSJ.73.3008
Abstract
Transition rates and dynamic spin structure factor at zero temperature for the spin-1/2 XXZ chain at critical regime in a magnetic field are numerically evaluated in terms of the exact determinant representations for the form factors and norms of the Bethe eigenstates. We have seen that the transition rates converges toward the constant function with the value 1 in the limit delta -> 0. The observed critical exponent of the singularity at the lower boundary is compared with the one predicted from the comformal field theory. We confirm that they are in good agreement. Further we have discovered that a small peak emerges near the upper boundary in the line shape of S(q,omega) for 0<delta<1.
11 pages, 3 figures, 3 authors
References in corpus (13)
- Quantum Inverse Scattering Method and Correlation Functions
- Form factors of the XXZ Heisenberg spin-1/2 finite chain
- Characterization of a Quasi-One Dimensional Spin-1/2 Magnet which is Gapless and Paramagnetic for g mu_B H <= J and k_B T << J
- Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
- Extended quantum critical phase in a magnetized spin-1/2 antiferromagnetic chain
- Exact two-spinon dynamical correlation function of the Heisenberg model
- Exact two-spin dynamic structure factor of the one-dimensional s=1/2 Heisenberg-Ising antiferromagnet
- Lineshape predictions via Bethe ansatz for the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field
- Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain
- Quasiparticles governing the zero-temperature dynamics of the 1D spin-1/2 Heisenberg antiferromagnet in a magnetic field
- Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet
- Critical properties of the one-dimensional spin-1/2 antiferromagnetic Heisenberg model in the presence of a uniform field
- Spectrum and transition rates of the XX chain analyzed via Bethe ansatz
Cited by in corpus (30)
- Computation of dynamical correlation functions of Heisenberg chains in a field
- Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
- The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
- Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
- Experimental Observation of Bethe Strings
- Dynamical structure factor at small q for the XXZ spin-1/2 chain
- Correlation functions of integrable models: a description of the ABACUS algorithm
- New Results for the Correlation Functions of the Ising Model and the Transverse Ising Chain
- Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields
- The Spin-Exchange Dynamical Structure Factor of the S=1/2 Heisenberg Chain
- The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
- Dynamical correlation functions of the XXZ model at finite temperature
- One-dimensional Quantum Spin Dynamics of Bethe String States
- Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
- Thermal form factor approach to the ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime
- Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
- Finite temperature correlation functions from discrete functional equations
- A thermal form factor series for the longitudinal two-point function of the Heisenberg-Ising chain in the antiferromagnetic massive regime
- Nature of the many-body excitations in a quantum wire: theory and experiment
- Dynamic properties of quantum spin chains: Simple route to complex behavior
- Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry
- On the absorption of microwaves by the one-dimensional spin-1/2 Heisenberg-Ising magnet
- On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
- Spectral Properties of Interacting One-Dimensional Spinless Fermions
- Dimer and trimer fluctuations in the s=1/2 transverse XX chain
- Spinon dynamics in quantum integrable antiferromagnets
- Form factors and correlation functions of an interacting spinless fermion model
- Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime
- Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains
- Exact quantum dynamics of yrast states in the finite 1D Bose gas