Tricritical Behavior in Two Dimensions.
Abstract
The onset of two dimensional tricritical behavior in N x infinity strips of spins in an Isinglike model is investigated. This is done through numerical computation of the largest eigenvalue of the single spin advance transfer matrix. Primary attention is paid to the specific heat at constant nonordering field. The usual phase diagram, in zero ordering field, locates the tricritical point at the intersection of a first order line and a lambda line; it is found here that a curve of large field, bounded and rounded specific heat peaks also seems to intersect this point. This curve, when it exists, may be helpful in experimentally locating tricritical points in any dimension. Evidence is also presented, in zero nonordering field, for the validity of the Onsager specific heat temperature shift, N to the minus 2 power in N, in the model.
 Publication:

Ph.D. Thesis
 Pub Date:
 November 1977
 Bibcode:
 1977PhDT........32L
 Keywords:

 Physics: Condensed Matter;
 Critical Point;
 Two Dimensional Bodies;
 Eigenvalues;
 Ferromagnetism;
 Mathematical Models;
 Specific Heat;
 SolidState Physics