Theory of Spin-Split Cyclotron Resonance in the Extreme Quantum Limit
ArXiv cond-mat/9401049 (1994)
Abstract:
We present an interpretation of recent cyclotron resonance experiments on the two-dimensional electron gas in GaAs/AlGaAs heterostructures. We show that the observed dependence of the resonance spectrum on Landau level occupancy and temperature arises from the interplay of three factors: spin-splitting of the cyclotron frequency; thermal population of the two spin states; and coupling of the resonances for each spin orientation by Coulomb interactions. In addition, we derive an $f$-sum rule which allows spin polarisation to be determined directly from resonance spectra.EXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORS
PHYSICAL REVIEW B 49:7 (1994) 4695-4702
LOCALIZATION IN A RANDOM MAGNETIC-FIELD - THE SEMICLASSICAL LIMIT
PHYSICAL REVIEW B 50:8 (1994) 5272-5285
A Unified Model for Two Localisation Problems: Electron States in Spin-Degenerate Landau Levels, and in a Random Magnetic Field
ArXiv cond-mat/9311050 (1993)
Abstract:
A single model is presented which represents both of the two apparently unrelated localisation problems of the title. The phase diagram of this model is examined using scaling ideas and numerical simulations. It is argued that the localisation length in a spin-degenerate Landau level diverges at two distinct energies, with the same critical behaviour as in a spin-split Landau level, and that all states of a charged particle moving in two dimensions, in a random magnetic field with zero average, are localised.COMPLETE CHARACTERIZATION OF UNIVERSAL FLUCTUATIONS IN QUASI-ONE-DIMENSIONAL MESOSCOPIC CONDUCTORS
PHYSICAL REVIEW LETTERS 71:22 (1993) 3693-3696