QUANTUM CORNER — TRANSFER MATRIX DMRG

Erik Bartel and Andreas Schadschneider ()
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Erik Bartel: Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany
Andreas Schadschneider: Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 08, 1145-1161

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: DMRG; Trotter decomposition; renormalization; thermodynamic properties; quantum spin systems; 02.70.-c; 64.60.De; 05.70.-a; 05.10.Cc (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S012918310801290X

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