Lowtemperature behavior of the finitesize onedimensional Ising model and the partition function zeros
Abstract
In contrast to an infinite chain, the lowtemperature expansion of a onedimensional freefield Ising model has a strong dependence on boundary conditions. I derive an explicit formula for the leading term of the expansion both under open and periodic boundary conditions and show that they are related to different distributions of the partition function zeros on the complex temperature plane. In particular, when a periodic boundary condition is imposed, the leading coefficient of the expansion grows with increasing size of the chain, due to the zeros approaching the origin.
 Publication:

Journal of Korean Physical Society
 Pub Date:
 September 2014
 DOI:
 10.3938/jkps.65.676
 arXiv:
 arXiv:1407.6919
 Bibcode:
 2014JKPS...65..676L
 Keywords:

 Partition function zeros;
 Lattice model;
 Finitesize systems;
 Low temperature;
 Condensed Matter  Statistical Mechanics
 EPrint:
 15 pages, 4 figures. The sign convention for the coupling constant is changed and a reference is added