Boundary susceptibility in the open XXZ-chain

Details Boundary susceptibility in the open XXZ-chain Boundary susceptibility in the open XXZ-chain

2005-01-24

arxiv.org/abs/cond-mat/0501559v1

J. Phys. A: Math. Gen. 38, 5957 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

22 pages, 8 figures

Scientific paper

10.1088/0305-4470/38/26/009

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.

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