Electronic correlation in the quantum Hall regime

Abstract

Two-dimensional interacting electron systems become strongly correlated if the electrons are subject to a perpendicular high magnetic field. After introducing the physics of the quantum Hall regime the incompressible many-particle ground state and its excitations are studied in detail at fractional filling factors for spin-polarized electrons. The spin degree of freedom whose importance was shown in recent experiments is considered by studying the thermodynamics at filling factor one and near one.

Two-dimensional quantum dots in high magnetic fields: Rotating-electron-molecule versus composite-fermion approach

“…In the case of high magnetic fields, the Hilbert space for exact-diagonalization calculations can be restricted to the LLL and many such calculations have been reported 2,3,5,9,10,18,44,46,49,61,62,63,64 in the past twenty years. However, for N ≥ 5, such EXD studies have been restricted to angular momenta corresponding to the rather narrow range of fillings factors 1 ≥ ν ≥ 1/3.…”