Partition function zeros of the antiferromagnetic Ising model on triangular lattice in the complex temperature plane for nonzero magnetic field

The grand partition functions Z(T,B)Z(T,B) of the Ising model on L×LL×L triangular lattices with fully periodic boundary conditions, as a function of temperature T and magnetic field B  , are evaluated exactly for L<12L<12 (using microcanonical transfer matrix) and approximately for L⩾12L⩾12 (using Wang–Landau Monte Carlo algorithm). From Z(T,B)Z(T,B), the distributions of the partition function zeros of the triangular-lattice Ising model in the complex temperature plane for real B≠0B≠0 are obtained and discussed for the first time. The critical points aN(x)aN(x) and the thermal scaling exponents yt(x)yt(x) of the triangular-lattice Ising antiferromagnet, for various values of x=e−2βBx=e−2βB, are estimated using the partition function zeros.