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Series expansions from corner transfer matrices: The square lattice Ising model

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Abstract

The corner transfer matrix formalism is used to obtain low-temperature series expansions for the square lattice Ising model in a field. This algebraic technique appears to be far more efficient than conventional methods based on combinatorial enumeration.

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References

  1. R. J. Baxter,J. Stat. Phys. 19:461 (1978).

    Google Scholar 

  2. M. F. Wortis, inPhase Transitions and Critical Phenomena C. Domb and M. S. Green, eds. (Academic, 1974), Chapter 3.

  3. R. J. Baxter,J. Math. Phys. 9:650 (1968).

    Google Scholar 

  4. H. A. Kramers and G. H. Wannier,Phys. Rev. 60:263 (1941).

    Google Scholar 

  5. R. J. Baxter,J. Stat. Phys. 15:485 (1976).

    Google Scholar 

  6. R. J. Baxter,J. Stat. Phys. 17:1 (1977).

    Google Scholar 

  7. M. F. Sykes, D. S. Gaunt, and S. R. Mattingly,J. Math. Phys. 14:1066 (1973).

    Google Scholar 

  8. S. K. Tsang,J. Stat. Phys. 20:95 (1979).

    Google Scholar 

  9. L. Onsager,Phys. Rev. 65:117 (1944).

    Google Scholar 

  10. C. Domb,Advan. Phys. 9:149 (1960).

    Google Scholar 

  11. T. D. Lee and C. N. Yang,Phys. Rev. 87:410 (1952).

    Google Scholar 

  12. B. M. McCoy and T. T. Wu,Phys. Rev. 155:438 (1967).

    Google Scholar 

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Baxter, R.J., Enting, I.G. Series expansions from corner transfer matrices: The square lattice Ising model. J Stat Phys 21, 103–123 (1979). https://doi.org/10.1007/BF01008694

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