Magnetotransport of electrons in quantum Hall systems
I.A. Dmitriev, F. Evers, I.V. Gornyi, A.D. Mirlin, D.G. Polyakov, and, P. W\"olfle

TL;DR
This paper reviews recent theoretical advances in understanding magnetotransport phenomena in two-dimensional electron systems under moderate magnetic fields, covering classical effects, quantum oscillations, and microwave-induced conductivity.
Contribution
It synthesizes recent theoretical findings on diverse magnetotransport phenomena in 2D electron systems, highlighting new insights into quantum and classical effects under magnetic fields.
Findings
Memory effects in disordered systems influence transport.
Quantum magnetoresistance arises from electron interactions.
Microwave photoconductivity exhibits oscillatory behavior.
Abstract
Recent theoretical results on magnetotransport of electrons in a 2D system in the range of moderately strong transverse magnetic fields are reviewed. The phenomena discussed include: quasiclassical memory effects in systems with various types of disorder, transport in lateral superlattices, interaction-induced quantum magnetoresistance, quantum magnetooscillations in dc and ac transport, and oscillatory microwave photoconductivity.
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