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QUANTUM CORNER — TRANSFER MATRIX DMRG

ERIK BARTEL

Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany

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and

ANDREAS SCHADSCHNEIDER

Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany

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https://doi.org/10.1142/S012918310801290XCited by:3 (Source: Crossref)

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:

PACS: 02.70.-c, 64.60.De, 05.70.-a, 05.10.Cc

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