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

References in corpus (2)

• Temperature driven crossover phenomena in the correlation lengths of the one-dimensional t-J model
• Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain

Cited by in corpus (7)

• Correlation functions of the open XXZ chain I
• Correlation functions of the open XXZ chain II
• 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
• NMR Response in quasi one-dimensional Spin-1/2 Antiferromagnets
• Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
• The one-dimensional Hubbard model with open ends: Universal divergent contributions to the magnetic susceptibility