Boundary susceptibility in the open XXZ-chain

2005/01/24 by Michael Bortz, Jesko Sirker
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1088/0305-4470/38/26/009

published as J. Phys. A: Math. Gen. 38, 5957 (2005) · 22 pages, 8 figures

arxiv created 2005/01/24 · arxiv updated 2009/12/01

Abstract

In the first part we calculate the boundary susceptibility χ_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|≪ α, where α 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≪ 1 by field theoretical methods. Finally we compare χ_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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