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Computer Physics Communications

Finite temperature quantum transfer-matrix simulations of the frustrated spin-1/2 chains

G. Kamieniarz, M. Bieliński, G. Szukowski, R. Szymczak, S. Dyeyev, Jean‐Pierre Renard

Published Aug 1, 2002• 21 citations
Publisher
DOI
10.1016/s0010-4655(02)00382-x

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We apply the biorthonormal transfer-matrix renormalization group (BTMRG) [Huang, Phys. Rev. E 83, 036702 (2011)] to study low-temperature properties of quantum spin chains. Simulations on anisotropic Heisenberg spin-1/21/21/2 chains demonstrate that the BTMRG outperforms the conventional transfer-matrix renormalization group by successfully accessing far lower temperature than previously reported, while retaining the same level of accuracy. The power of the method is further illustrated by the calculation of the low-temperature specific heat for a frustrated spin chain.
The quantum transfer-matrix method (QTM) has been applied to study the finite-temperature static properties of the spin S=1S=1S=1 antiferromagnetic Heisenberg chains in a wide range of the single-ion anisotropy and temperatures. The high-resolution QTM simulation data are obtained for the zero-field susceptibility, specific heat, as well as for the field-dependent magnetization. The microscopic parameters of a number of real quasi-one-dimensional compounds are found from fitting procedures, some theoretical approaches are numerically verified and low-temperature extensions of high-temperature series are given in terms of Chebyshev polynomials.