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

被引:16
作者
Bilstein, U [1 ]
机构
[1] Univ Bonn, Inst Phys, D-53115 Bonn, Germany
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 24期
关键词
D O I
10.1088/0305-4470/33/24/303
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 also applies 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.
引用
收藏
页码:4437 / 4449
页数:13
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