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Exponents and logarithms of the Potts model through a 1D quantum hamiltonian

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Zeitschrift für Physik B Condensed Matter

Abstract

Exact solution of the one-dimensional quantumq-state Potts model for finite chains and subsequent finite-size analysis yields values for the thermal critical exponenty=1/v forq=3 andq=4. By taking into account the shift of the critical point due to the finite size we obtainy=1.48±0.01 forq=4 in good agreement with they=3/2 conjectured by den Nijs. Using the conjecture of den Nijs we find evidence for a logarithmic factor forq=4 but not forq=3.

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  1. Institut für Theoretische Physik der Universität zu Köln, Zülpicher Strasse 77, D-5000, Köln, Federal Republic of Germany

    H. J. Herrmann

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  1. H. J. Herrmann
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Herrmann, H.J. Exponents and logarithms of the Potts model through a 1D quantum hamiltonian. Z. Physik B - Condensed Matter 43, 55–60 (1981). https://doi.org/10.1007/BF01295475

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  • DOI: https://doi.org/10.1007/BF01295475

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