Boundary susceptibility in the open XXZ-chain

Abstract

In the first part we calculate the boundary susceptibility ${\chi }_B$ in the open $XXZ$-chain at zero temperature and arbitrary magnetic field $h$ by Bethe ansatz. We present analytical results for the leading terms when $|h|\ll \alpha$, where $\alpha$ is a known scale, and a numerical solution for the entire range of fields. In the second part we calculate susceptibility profiles near the boundary at finite temperature $T$ numerically by using the density-matrix renormalization group for transfer matrices and analytically for $T\ll 1$ by field theoretical methods. Finally we compare ${\chi }_B$ at finite temperature with a low-temperature asymptotics which we obtain by combining our Bethe ansatz result with recent predictions from bosonization.

22 pages, 8 figures

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Cited by in corpus (15)

• Correlation functions of the open XXZ chain I
• Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
• Correlation functions of the open XXZ chain II
• Surface free energy of the open XXZ spin-1/2 chain
• The Luttinger liquid and integrable models
• Chain breaks and the susceptibility of Sr_2Cu_{1-x}Pd_xO_{3+δ} and other doped quasi one-dimensional antiferromagnets
• Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
• The open XXZ-chain: Bosonisation, Bethe ansatz and logarithmic corrections
• Surface free energy for systems with integrable boundary conditions
• Exact boundary free energy of the open XXZ chain with arbitrary boundary conditions
• Bethe ansatz description of edge-localization in the open-boundary XXZ spin chain
• NMR Response in quasi one-dimensional Spin-1/2 Antiferromagnets
• Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
• Effects of impurities in Spin Bose-Metal phase on a two-leg triangular strip
• The one-dimensional Hubbard model with open ends: Universal divergent contributions to the magnetic susceptibility