The density matrix renormalization group for a quantum spin chain at non-zero temperature
- 30 September 1996
- journal article
- letter
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 8 (40) , L583-L590
- https://doi.org/10.1088/0953-8984/8/40/003
Abstract
We apply a recent adaptation of White's density matrix renormalization group (DMRG) method to a simple quantum spin model, the dimerized XY chain, in order to assess the applicability 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.Keywords
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This publication has 17 references indexed in Scilit:
- Density Matrix Renormalization Group Applied to the Ground State of theXYSpin-Peierls SystemPhysical Review Letters, 1996
- Ground-state dynamical correlation functions: An approach using the density-matrix renormalization-group methodPhysical Review B, 1996
- Density matrix renormalization group study of the correlation function of the bilinear-biquadratic spin-1 chainJournal of Physics A: General Physics, 1995
- Resonating Valence Bond Theory of Coupled Heisenberg ChainsPhysical Review Letters, 1994
- Correlations in a Two-Chain Hubbard ModelPhysical Review Letters, 1994
- Density-matrix algorithms for quantum renormalization groupsPhysical Review B, 1993
- Large-scale numerical evidence for Bose condensation in theS=1 antiferromagnetic chain in a strong fieldPhysical Review Letters, 1993
- Numerical renormalization-group study of low-lying eigenstates of the antiferromagneticS=1 Heisenberg chainPhysical Review B, 1993
- Density matrix formulation for quantum renormalization groupsPhysical Review Letters, 1992
- Real-space quantum renormalization groupsPhysical Review Letters, 1992