On Anderson Localisation of Two-Dimensional Electrons in Weak Magnetic Field
D.E.Khmelnitskii (Cavendish Laboratory, University of Cambridge,, Cambridge, UK, Institut Laue-Langevin, Grenoble, FRANCE)
TL;DR
This paper investigates how weak magnetic fields influence electron localization in two-dimensional disordered systems, revealing periodic singularities in the localization length through renormalization group analysis.
Contribution
It introduces a renormalization group approach to analyze the magnetic field dependence of localization length in 2D electrons, capturing periodic singularities.
Findings
Localization length Lc(B) exhibits periodic singularities.
Magnetic field dependence of localization length is characterized.
Renormalization group flow diagram explains localization behavior.
Abstract
The two-parameter renormalization group flow diagramme is used for obtaining the magnetic field dependence of localisation length Lc(B) for charged particles in 2D random potential at low disorder and weak magnetic fields B. The result reproduces the periodic singularities of Lc(B).
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Taxonomy
TopicsQuantum chaos and dynamical systems · Theoretical and Computational Physics · Quantum and electron transport phenomena