A DMRG study of the q-symmetric Heisenberg chain

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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7 pages, 8 figures, submitted to Eur. Phys. J. B, one error in eq. 17 corrected

Scientific paper

10.1007/s100510050496

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.

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