Boundary susceptibility in the open XXZ-chain
نویسندگان
چکیده
In the first part we calculate the boundary susceptibility χB 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 χB at finite temperature with a low-temperature asymptotics which we obtain by combining our Bethe ansatz result with recent predictions from bosonization. PACS numbers: 75.10.Jm,75.10.Pq,02.30.Ik
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