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

Abstract

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.

15 pages, LaTeX2e, 2 ps figures

References in corpus (1)

• The XX--model with boundaries. Part I: Diagonalization of the finite chain

Cited by in corpus (14)

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• Entanglement Entropies in Conformal Systems with Boundaries
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• Renyi entanglement entropies of descendant states in critical systems with boundaries: conformal field theory and spin chains
• PT Symmetry of the non-Hermitian XX Spin-Chain: Non-local Bulk Interaction from Complex Boundary Fields
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