84 citations · 550 across the 31 of their papers we have counts for
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Anisotropic Quantum Hall Matrix Model
Ahmed Jellal, Rudolf A. Roemer, Michael Schreiber
We consider the anisotropic effect in the quantum Hall systems by applying a confining potential that is not of parabolic type. This can be done by extending Susskind--Polychronako…
Fluctuating Hall resistance defeats the quantized Hall insulator
Philipp Cain, Rudolf A. Roemer
Using the Chalker-Coddington network model as a drastically simplified, but universal model of integer quantum Hall physics, we investigate the plateau-to-insulator transition at s…
Real-space renormalization at the quantum Hall transition
Rudolf A. Roemer, Philipp Cain
We review recent applications of the real-space renormalization group (RG) approach to the integer quantum Hall (QH) transition. The RG approach, applied to the Chalker-Coddington…
The three-dimensional Anderson model of localization with binary random potential
I V Plyushchay, R A Roemer, M Schreiber
We study the three-dimensional two-band Anderson model of localization and compare our results to experimental results for amorphous metallic alloys (AMA). Using the transfer-matri…
Magneto-transport in periodic and quasiperiodic arrays of mesoscopic rings
Arunava Chakrabarti, Rudolf A. Roemer, Michael Schreiber
We study theoretically the transmission properties of serially connected mesoscopic rings threaded by a magnetic flux. Within a tight-binding formalism we derive exact analytical r…
A Matrix Model for Fractional Quantum Hall States
A. Jellal, E. H. Saidi, H. B. Geyer +1
We have developed a matrix model for FQH states at filling factor ν_{k_1k_2} going beyond the Laughlin theory. To illustrate our idea, we have considered an FQH system of a finite…