Localization transition in three dimensions: Monte Carlo simulation of a nonlinear σ model
- 1 November 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 54 (18), 12763-12774
- https://doi.org/10.1103/physrevb.54.12763
Abstract
We present a combination of analytical and numerical calculations for the critical behavior of a supersymmetric nonlinear σ model. This toy model is expected to describe at least qualitatively the localization transition of a disordered one-electron system. As a result, we obtain a localization length exponent and a set of inverse participation numbers in three dimensions. We find a continuous phase transition with the features of one-parameter scaling and multifractality at the critical point. © 1996 The American Physical Society.Keywords
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