The dual model for an Ising model with nearest and next-nearest neighbors

Abstract

Listen

Translate article

We construct and analyze a dual model to the next-nearest-neighbor Ising (NNNI) model on the rectangular lattice. The Hamiltonian of the dual model turns out to contain two- and four-spin interactions. The free fermion approximation suggests that an increase in the critical temperature of the dual model caused by the four-spin interactions is limited to a finite range.