The XX-model with boundaries. Part III:Magnetization profiles and boundary bound states

Abstract

We calculate the magnetization profiles of the ${\sigma }_j^x$ and ${\sigma }_j^z$ operators for the XX-model with hermitian boundary terms. We study the profiles on the finite chain and in the continuum limit. The results are discussed in the context of conformal invariance. We also discuss boundary excitations and their effect on the magnetization profiles.

30 pages, 3 figures

References in corpus (2)

• The XX--model with boundaries. Part I: Diagonalization of the finite chain
• The XX-model with boundaries. Part II: Finite size scaling and partition functions

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• The density of critical percolation clusters touching the boundaries of strips and squares
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