Corner transfer matrix of generalised free Fermion vertex systems

H. -P. Eckle; T. T. Truong

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arXiv · cond-mat/9308009

Corner transfer matrix of generalised free Fermion vertex systems

H. -P. Eckle·T. T. Truong

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Abstract

The Hamiltonian limit of the corner transfer matrix (CTM) of a generalised free Fermion vertex system of finite size leads to a quantum spin Hamiltonian of the particular form: \[ {\cal H}_N=-\sum_{n=1}^{N-1}\left\{ n\left( σ_n^xσ_{n+1}^x +λσ_n^yσ_{n+1}^y +h(σ_n^z+σ_{n+1}^z) \right)\right\} \] Diagonalisation may be achieved for all pairs of parameters $(λ,h)$ with the use of some new elliptic polynomials which extend the class of special polynomials known so far in the context of CTM.

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BibTeX RIS

H. -P. Eckle, T. T. Truong. 1993-08-07. Corner transfer matrix of generalised free Fermion vertex systems. https://arxiv.org/abs/cond-mat/9308009

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