A DMRG study of the q-symmetric Heisenberg chain

M. Kaulke; I. Peschel

doi:10.1007/s100510050496

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Condensed Matter and Complex Systems

Eur. Phys. J. B 5, 727-734 (1998)
https://doi.org/10.1007/s100510050496

A DMRG study of the q-symmetric Heisenberg chain^*

M. Kaulke^a and I. Peschel

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

Corresponding author: ^a kaulke@physik.fu-berlin.de

Received: 18 February 1998
Accepted: 17 March 1998
Published online: 15 October 1998

Abstract

The spin one-half Heisenberg chain with $U_q[SU(2)]$ 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.