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Theoretical and Mathematical Physics

Test of a new bosonization algorithm for a simple one-dimensional model

T. Bakeyev, Alexander I. Veselov, M. I. Polikarpov, Andrei Alekseevich Slavnov

Published Oct 1, 1997• 7 citations
Publisher
DOI
10.1007/bf02634013

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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.