Quantum hall Effect in Two Dimensional Electron Gas
No Thumbnail Available
Date
2009-06
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Addis Ababa University
Abstract
In this work we analyze the modern state of the problem connected with quantum Hall
effect (integral and fractional). The quantum Hall effect is a quantum-mechanical version
of the Hall effect, observed in two dimensional electron systems subjected to low temperatures
(< 1K) and strong magnetic fields ( 10T), in which the Hall conductance ( H)
takes on the quantized values ( e2/h) with an integer (integer quantized Hall effect)
or a rational fraction (fractional quantized Hall effect), independent of the detail of the
sample geometry. The fractional quantum Hall effect is not complectly understood at
the time being. Recently the idea of chiral heat transport in quantum Hall regime was
pushed forward [33], we also analyze thermal transport in the fractional quantum Hall
effect (FQHE). As an original part we consider the problem of two electrons in a uniform
magnetic field with the account of the center mass: (1) Quantum Mechanical Description
and (2) Classical Description
Description
Keywords
Electron Gas