Accurate computation of low-temperature thermodynamics of quantum spin chains

Details Accurate computation of low-temperature thermodynamics of quantum spin chains Accurate computation of low-temperature thermodynamics of quantum spin chains

2012-03-21

arxiv.org/abs/1203.4848v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures

Scientific paper

We generalize the conventional transfer-matrix renormalization group (TMRG) method by introducing a series of dual biorthonormal bases for the left and right dominant eigenvectors of the quantum transfer matrix. By biorthonormalizing two reduced set of vectors obtained from the singular-value-decomposition of the reduced density matrix, this biorthonormal TMRG (BTMRG) achieves a significant improvement of numerical stability over conventional TMRG. Numerical simulations on XY and Heisenberg spin-1/2 chains demonstrate that the BTMRG method can reach temperatures at least two orders of magnitude lower than those accessible by conventional TMRG, while retaining the same level of accuracy.

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