The valence bond solid in quasicrystals

Details The valence bond solid in quasicrystals The valence bond solid in quasicrystals

2009-09-11

arxiv.org/abs/0909.2211v1

ALGEBRA and ANALYSIS, vol 1, issue 2, page 47, 1989 [in Russian language]

Physics

Condensed Matter

Statistical Mechanics

This is a historical note. In 1989 we constructed a version of AKLT with unique ground state on a finite graph. Recently the p

Scientific paper

A generalized model of Heisenberg quantum antiferromagnet on an arbitrary graph is constructed so that the VBS is the unique ground state. The norm of the base state and equal time multi point correlation functions are computed in terms of generalized hyper geometric functions. For the one-dimensional periodic Heisenberg model we present a method of computing multi point correlation functions based on the study of a commuting family of transfer matrices. The connection of multi point correlators with Young tableaux and Gegenbauer polynomials is found.

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