Energy spectrum for two-dimensional potentials in very high magnetic fields

Date

1997

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

BUIR Usage Stats
3
views
8
downloads

Citation Stats

Series

Abstract

A new method, analogous to supersymmetry transformation in quantum mechanics, is developed for a particle in the lowest Landau level moving in an arbitrary potential. The method is applied to two-dimensional potentials formed by Dirac delta scattering centers. In the periodic case, the problem is solved exactly for rational values of the magnetic flux (in units of flux quantum) per unit cell. The spectrum is found to be self-similar, resembling the Hofstadter butterfly

Source Title

Physical Review B - Condensed Matter and Materials Physics

Publisher

American Physical Society

Course

Other identifiers

Book Title

Keywords

Degree Discipline

Degree Level

Degree Name

Citation

Published Version (Please cite this version)

Language

English