Realization of supersymmetric quantum mechanics in inhomogeneous Ising models

B. Berche, F. Iglói

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Supersymmetric quantum mechanics is well known to provide, together with the so-called shape-invariance condition, an elegant method of solving the eigenvalue problem of some one-dimensional potentials by simple algebraic manipulations. In the present paper, this method is used in statistical physics. We consider the local critical behaviour of inhomogeneous Ising models and determine the complete set of anomalous dimensions from the spectrum of the corresponding transfer matrix in the strip geometry. For smoothly varying perturbations, the eigenvalue problem of the transfer matrix takes the form of a Schrodinger equation, and, furthermore, the corresponding potential exhibits the shape-invariance property for some known extended defects. In these cases, the complete spectrum is derived by the methods of supersymmetric quantum mechanics.

Original languageEnglish
Article number005
Pages (from-to)3579-3590
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume28
Issue number13
DOIs
Publication statusPublished - 1995

Fingerprint

Supersymmetric Quantum Mechanics
Ising model
Quantum theory
Invariance
Ising Model
quantum mechanics
invariance
eigenvalues
Transfer Matrix
Schrodinger equation
Eigenvalue Problem
manipulators
strip
Schrodinger Equation
Physics
Statistical Physics
Critical Behavior
perturbation
Defects
physics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Realization of supersymmetric quantum mechanics in inhomogeneous Ising models. / Berche, B.; Iglói, F.

In: Journal of Physics A: Mathematical and General, Vol. 28, No. 13, 005, 1995, p. 3579-3590.

Research output: Contribution to journalArticle

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