Phase diagram of the non-hermitean asymmetric XXZ spin chain

Details Phase diagram of the non-hermitean asymmetric XXZ spin chain Phase diagram of the non-hermitean asymmetric XXZ spin chain

1995-09-06

arxiv.org/abs/cond-mat/9509026v2

J.Phys.A29:L369-L376,1996

Physics

Condensed Matter

11 pages, latex, 1 figure in .ps format uuencoded and appended; various improvements have been made

Scientific paper

10.1088/0305-4470/29/15/001

The low-lying excitations of the asymmetric $XXZ$ spin chain are derived explicitly in the antiferromagnetic regime through the Bethe Ansatz. It is found that a massless and conformal invariant phase with central charge $c=1$ is separated from a massive phase by a line on which the low-lying excitations surprisingly scale with the lattice length as $\Delta E \sim N^{-\frac{1}{2}}$. The mass gap vanishes with an exponent $\frac{1}{2}$ as one approaches the massless phase. The connection with the asymmetric $6$--vertex model and some physical consequences are discussed.

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