DOI: https://doi.org/10.30970/jps.13.4006
SPECIFIC HEAT OF THE SQUARE-LATTICE ISING ANTIFERROMAGNET IN A MAGNETIC FIELD
Seung-Yeon Kim
School of Liberal Arts and Sciences, Chungju National University, Chungju 380--702, South Korea
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Journal of Physical Studies 13(1), Article 4006 [3 pages] (2009)
DOI: https://doi.org/10.30970/jps.13.4006 SPECIFIC HEAT OF THE SQUARE-LATTICE ISING ANTIFERROMAGNET IN A MAGNETIC FIELDSeung-Yeon Kim School of Liberal Arts and Sciences, Chungju National University, Chungju 380--702, South Korea |
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The specific heat for the square-lattice Ising antiferromagnet in a uniform magnetic field $B$ is obtained from its exact grand partition functions on $L\times L$ lattices ($L=4\sim16$), in an arbitrary nonzero external field at arbitrary temperature. In the limit $L\toınfty$, the antiferromagnetic (N{éel) critical points for $B\ne0$ are estimated from the locations of the specific-heat peaks. For the first time, the thermal scaling exponents $y_t$ of the square-lattice Ising antiferromagnet in a magnetic field are obtained to be $y_t(B\ne0)=1.0$ directly from its specific heat, at the N{éel critical points even in a uniform magnetic field.
PACS number(s): 05.50.+q, 05.70.Jk, 64.60.Cn, 75.50.Ee