Multiple scattering in the presence of absorption: A theoretical treatment for quasi one-dimensional systems
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 29:14 (1996) 3761-3768
Three-dimensional disordered conductors in a strong magnetic field: surface states and quantum Hall plateaus
ArXiv cond-mat/9510164 (1995)
Abstract:
We study localization in layered, three-dimensional conductors in strong magnetic fields. We demonstrate the existence of three phases - insulator, metal and quantized Hall conductor - in the two-dimensional parameter space obtained by varying the Fermi energy and the interlayer coupling strength. Transport in the quantized Hall conductor occurs via extended surface states. These surface states constitute a subsystem at a novel critical point, which we describe using a new, directed network model.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