Microscopic Picture of the Quantum Hall Effect
Scanning probe microscopy investigating quantum Hall samples has been performed in our group for many years and has led to a microscopic picture for the current distribution in quantum Hall samples which contradicts the current-carrying edge-state model.
Publications
25 Jahre Quanten-Hall-Effekt (pdf)
K. von Klitzing, R. Gerhardts, J. Weis
Physik Journal 4 (6), 27 (2005)
Hall potential profiles in quantum Hall samples measured by a low-temperature scanning force microscope
J. Weis
International Journal of Modern Physics B 21, 1297 (2007)
Quantum Hall Effect
R.R. Gerhardts, J. Weis, K. von Klitzing
In: Compendium of Quantum Physics: Concepts, Experiments, History and Philosophy, edited by D. Greenberger, K. Hentschel, F. Weinert; Springer-Verlag Berlin Heidelberg, p. 572 (2009)
Metrology and microscopic picture of the integer quantum Hall effect
J. Weis, K. von Klitzing
Philosophical Transactions of the Royal Society A 369, 3954 (2011)
Current distribution and Hall potential landscape towards breakdown of the quantum Hall effect:
a scanning force microscopy investigation
K. Panos, R.R. Gerhardts, J. Weis, K. von Klitzing
New Journal of Physics 16, 113071(2014)
Quantum Hall Effect
J. Weis and R.R. Gerhardts
In: Saleem Hashmi (editor-in-chief), Reference Module in Materials Science and Materials Engineering, Oxford: Elsevier, pp 1-13 (2016)
Electrically induced breakdown of the quantum Hall effect at different Hall bar widths: Visualizing the edge- and bulk-dominated regimes within a quantum Hall plateau
P. Haremski, M. Mausser, A. Gauß, K. von Klitzing, J. Weis
Physical Review B 102, 205306 (2020)
Further Readings (Publications of R.R. Gerhardts and coworkers)
Local model for the distribution of dissipative currents in a Hall bar under strong magnetic fields
K. Güven, R.R. Gerhardts, in Physics of Semiconductors 2002, Proc. 15th Intern. Conf. on High Magnetic Fields in Semicond. Phys., Oxford, 5-9 August 2002, Institute of Physics Conference Series Number 171, edited by A.R. Long, J.H. Davies (Institute of Physics Publishing, Bristol (UK) and Philadelphia (USA), 2003)
Self-consistent local-equilibrium model for density profile and distribution of dissipative currents in a Hall bar under strong magnetic fields
K. Güven, R.R. Gerhardts
Physical Review B 67, 115327 (2003)
Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
A. Siddiki, R.R. Gerhardts
Physical Review B 70, 195335 (2004)
The Interrelation between Incompressible Strips and Quantized Hall Plateaus
A. Siddiki, R.R. Gerhardts
International Journal of Modern Physics B 18, 3541-3544 (2004)
Screening model of magnetotransport hysteresis observed in bilayer quantum Hall systems
A. Siddiki, S. Kraus, R.R. Gerhardts
Physica E 34, 136-139 (2006)
Range-dependent disorder effects on the plateau-widths calculated within the screening theory of the IQHE
A. Siddiki, R.R. Gerhardts
International Journal of Modern Physics B 21, 1362-1371 (2007)
The effect of screening on current distribution and conductance quantisation in narrow quantum Hall systems
R.R. Gerhardts
physica status solidi (b) 245, 378-392 (2008)
Current-induced asymmetries of incompressible stripes in narrow quantum Hall systems
R.R. Gerhardts, K. Panos, J. Weis
New Journal of Physics 15, 073034 (2013)
Current distribution and Hall potential landscape towards breakdown of the quantum Hall effect: a scanning force microscopy investigation
K. Panos, R. R. Gerhardts, J. Weis, K. von Klitzing
New Journal of Physics 16, 113071 (2014)
Effect of Joule heating on current-induced asymmetries and breakdown of the quantum Hall effect in narrow Hall bars
R.R. Gerhardts
Physica E 85, 38-46 (2017)
Current distribution in narrow translation-invariant quantum-Hall-systems with lateral density modulation
R.R. Gerhardts
New Journal of Physics 21, 073007 (2019)
Self-Consistent Theory of Screening and Transport in Narrow, Translation-Invariant Hall Bars under the Conditions of the Integer Quantum-Hall-Effect
R. R. Gerhardts
Recent Progress in Materials 2 (1), 42 (2020)