TU Darmstadt / ULB / TUbiblio

Pedestrian Solution of the Two-Dimensional Ising Model

Kastening, Boris (2001):
Pedestrian Solution of the Two-Dimensional Ising Model.
In: Condensed Matter - Statistical Mechanics, [Article]

Abstract

The partition function of the two-dimensional Ising model with zero magnetic field on a square lattice with m x n sites wrapped on a torus is computed within the transfer matrix formalism in an explicit step-by-step approach inspired by Kaufman's work. However, working with two commuting representations of the complex rotation group SO(2n,C) helps us avoid a number of unnecessary complications. We find all eigenvalues of the transfer matrix and therefore the partition function in a straightforward way.

Item Type: Article
Erschienen: 2001
Creators: Kastening, Boris
Title: Pedestrian Solution of the Two-Dimensional Ising Model
Language: English
Abstract:

The partition function of the two-dimensional Ising model with zero magnetic field on a square lattice with m x n sites wrapped on a torus is computed within the transfer matrix formalism in an explicit step-by-step approach inspired by Kaufman's work. However, working with two commuting representations of the complex rotation group SO(2n,C) helps us avoid a number of unnecessary complications. We find all eigenvalues of the transfer matrix and therefore the partition function in a straightforward way.

Journal or Publication Title: Condensed Matter - Statistical Mechanics
Divisions: 11 Department of Materials and Earth Sciences > Material Science > Advanced Thin Film Technology
11 Department of Materials and Earth Sciences > Material Science
11 Department of Materials and Earth Sciences
Date Deposited: 04 Jan 2013 12:13
Export:

Optionen (nur für Redakteure)

View Item View Item