TRANSFER-MATRIX STUDY OF NEGATIVE-FUGACITY SINGULARITY OF HARD-CORE LATTICE GAS

Synge Todo ()
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Synge Todo: Institute for Solid State Physics, University of Tokyo Tokyo 106-8666, Japan

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 04, 517-529

Abstract: A singularity on the negative-fugacity axis of the hard-core lattice gas is investigated in terms of numerical diagonalization of large-scale transfer matrices. For the hard-square lattice gas, the location of the singular point$z_c^-$and the critical exponentνare accurately determined by the phenomenological renormalization technique as -0.11933888188(1) and 0.416667(1), respectively. It is also found that the central chargecand the dominant scaling dimensionxσare -4.399996(8) and -0.3999996(7), respectively. Similar analyses for other hard-core lattice-gas models in two dimensions are also performed, and it is confirmed that the universality between these models does hold. These results strongly indicate that the present singularity belongs to the same universality class as the Yang–Lee edge singularity.

Keywords: Hard-Core lattice gas; Hard-Core singularity; Transfer matrix; Yang–Lee edge singularity; Nonunitary conformal field theory (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000401

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