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The European Physical Journal B

ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)

Table of Contents

Abstract Volume 5 Issue 3 (1998) pp 727-734

A DMRG study of the ${\mathsf q}$-symmetric Heisenberg chain

M. Kaulke (a), I. Peschel

Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

Received: 18 February 1998 / Accepted: 17 March 1998

Abstract: The spin one-half Heisenberg chain with Uq[SU(2)] symmetry is studied via density-matrix renormalization. Ground-state energy and q-symmetric correlation functions are calculated for the non-Hermitian case $q=\exp(i\pi/(r+1))$ with integer r. This gives bulk and surface exponents for (para)fermionic correlations in the related Ising and Potts models. The case of real q corresponding to a diffusion problem is treated analytically.

PACS. 05.70.Jk Critical point phenomena - 02.70.-c Computational techniques - 75.10.Jm Quantized spin models

(a) email: kaulke@physik.fu-berlin.de

Article in PDF format (343 KB)


Online publication: October 26, 1998
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