New path-integral solution for the density of states of two-dimensional electrons in high magnetic fields
- 15 October 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 36 (11) , 6225-6227
- https://doi.org/10.1103/physrevb.36.6225
Abstract
A new method for calculating the density of states of the two-dimensional electron gas in high magnetic fields with random scatterers is presented. Within the path-integral formalism we go beyond the short-time approximation and introduce a nonlocal harmonic-oscillator correction. Since the path integral of the nonlocal harmonic oscillator in a magnetic field can be solved exactly, a new solution of the density of states is obtained.Keywords
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