Density matrix renormalisation group for a quantum spin chain at   non-zero temperature
  We apply a recent adaptation of White's density matrix renormalisation group (DMRG) method to a simple quantum spin model, the dimerised $XY$ chain, in order to assess the applicabilty of the DMRG to quantum systems at non-zero temperature. We find that very reasonable results can be obtained for the thermodynamic functions down to low temperatures using a very small basis set. Low temperature results are found to be most accurate in the case when there is a substantial energy gap. 
R. J. Bursill (UNSW, Australia), T. Xiang (IRC for Superconductivity,   Cambridge) and G. A. Gehring (University of Sheffiel...