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Formulation and numerical results of the transfer-matrix method for quantum spin chains

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  • Delica, Thomas
  • Leschke, Hajo

Abstract

We give a novel and explicit description of the numerical transfer-matrix method for quantum spin chains in thermal equilibrium, based on a real-space Trotter decomposition of the corresponding statistical operator. We apply the method to a spin-12 chain with a magnetic field and varying anisotropy in the nearest-neighbor exchange interaction. Some of the results are compared with exact ones which are available in limiting cases.

Suggested Citation

  • Delica, Thomas & Leschke, Hajo, 1990. "Formulation and numerical results of the transfer-matrix method for quantum spin chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(2), pages 736-767.
    • Handle: RePEc:eee:phsmap:v:168:y:1990:i:2:p:736-767
    DOI: 10.1016/0378-4371(90)90028-Q
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