Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1996-11-21
J. Phys. A 30 (1997) 4925
Physics
Condensed Matter
Statistical Mechanics
LaTeX, 26 pages, 1 figure, uses ioplppt.sty
Scientific paper
10.1088/0305-4470/30/14/008
The spectrum of the non-hermitian asymmetric XXZ-chain with additional non-diagonal boundary terms is studied. The lowest lying eigenvalues are determined numerically. For the ferromagnetic and completely asymmetric chain that corresponds to a reaction-diffusion model with input and outflow of particles the smallest energy gap which corresponds directly to the inverse of the temporal correlation length shows the same properties as the spatial correlation length of the stationary state. For the antiferromagnetic chain with both boundary terms, we find a conformal invariant spectrum where the partition function corresponds to the one of a Coulomb gas with only magnetic charges shifted by a purely imaginary and a lattice-length dependent constant. Similar results are obtained by studying a toy model that can be diagonalized analytically in terms of free fermions.
Bilstein Ulrich
Wehefritz Birgit
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