Kastening, Boris (2001)
Pedestrian Solution of the Two-Dimensional Ising Model.
In: Condensed Matter - Statistical Mechanics
Artikel, Bibliographie
Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2001 |
| Autor(en): | Kastening, Boris |
| Art des Eintrags: | Bibliographie |
| Titel: | Pedestrian Solution of the Two-Dimensional Ising Model |
| Sprache: | Englisch |
| Publikationsjahr: | 20 April 2001 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Condensed Matter - Statistical Mechanics |
| Kurzbeschreibung (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. |
| Fachbereich(e)/-gebiet(e): | 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Fachgebiet Dünne Schichten 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft 11 Fachbereich Material- und Geowissenschaften |
| Hinterlegungsdatum: | 04 Jan 2013 12:13 |
| Letzte Änderung: | 05 Mär 2013 10:04 |
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