The XX-model with boundaries. Part II: Finite size scaling and partition functions

Details The XX-model with boundaries. Part II: Finite size scaling and partition functions The XX-model with boundaries. Part II: Finite size scaling and partition functions

2000-02-10

arxiv.org/abs/cond-mat/0002162v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, LaTeX2e, 2 ps figures

Scientific paper

10.1088/0305-4470/33/24/303

We compute the continuum limit of the spectra for the XX-model with arbitrary complex boundary fields. In the case of hermitian boundary terms one obtains the partition functions of the free compactified boson field on a cylinder with Neumann-Neumann, Dirichlet-Neumann or Dirichlet-Dirichlet boundary conditions. This applies also for certain non-hermitian boundaries. For special cases we also compute the free surface energy. For certain non-hermitian boundary terms the results are more complex.Here one obtains logarithmic corrections to the free surface energy. The asymmetric version of the XX-model with boundaries (this includes the Dzyaloshinsky-Moriya interaction)is also discussed.

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