Correlation functions of the half-infinite XXZ spin chain with a triangular boundary - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2013

Correlation functions of the half-infinite XXZ spin chain with a triangular boundary

Résumé

The half-infinite XXZ spin chain with a triangular boundary is considered in the massive regime. Two integral representations of correlation functions are proposed using bosonization. Sufficient conditions such that the expressions for triangular boundary conditions coincide with those for diagonal boundary conditions are identified. As an application, summation formulae of the boundary expectation values $\langle \sigma_1^a\rangle $ with $a=z,\pm$ are obtained. Exploiting the spin-reversal property, relations between $n$-fold integrals of elliptic theta functions are extracted.

Dates et versions

hal-00925246 , version 1 (07-01-2014)

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Citer

Pascal Baseilhac, Takeo Kojima. Correlation functions of the half-infinite XXZ spin chain with a triangular boundary. 2013. ⟨hal-00925246⟩
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