Corner transfer matrix of generalised free Fermion vertex systems
Abstract
Description
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.
(No changes of text, replaced LaTeX file fits better to US legal letter) 29 pages, LaTeX, HPETTT-CTM-93-02
(No changes of text, replaced LaTeX file fits better to US legal letter) 29 pages, LaTeX, HPETTT-CTM-93-02