English

Quantum Corner-Transfer Matrix DMRG

Strongly Correlated Electrons 2009-11-13 v1 Statistical Mechanics

Abstract

We propose a new method for the calculation of thermodynamic properties of one-dimensional quantum systems by combining the TMRG approach with the corner transfer-matrix method. The corner transfer-matrix DMRG method brings reasonable advantage over TMRG for classical systems. We have modified the concept for the calculation of thermal properties of one-dimensional quantum systems. The novel QCTMRG algorithm is implemented and used to study two simple test cases, the classical Ising chain and the isotropic Heisenberg model. In a discussion, the advantages and challenges are illuminated.

Keywords

Cite

@article{arxiv.0804.1874,
  title  = {Quantum Corner-Transfer Matrix DMRG},
  author = {Erik Bartel and Andreas Schadschneider},
  journal= {arXiv preprint arXiv:0804.1874},
  year   = {2009}
}

Comments

17 pages, 15 figures, to appear in Int.J.Mod.Phys. C

R2 v1 2026-06-21T10:29:56.172Z