Antiferromagnetism. The Kagome Ising Net

Abstract

We can solve exactly the eigenvalue problem of the kagomé Ising net with z = 4. The transition temperature lies a little below than that of the square lattice. Its value is determined by and it teaches us that it is not determined only by the number of nearest neighbors. In the case of antiferromagnetism, especially, the kagomé lattice which does not fit to antiferromagnetic arrangement is disordered at all temperature and possesses a finite zero point entropy just as in the case of the triangular lattice and the result runs as follows: