scholarly journals Composite-fermion edge states and transport through nanostructures in the fractional quantum Hall regime

1996 ◽  
Vol 53 (23) ◽  
pp. 15767-15776 ◽  
Author(s):  
George Kirczenow
Keyword(s):  
Quantum Hall ◽  
Edge States ◽  
Composite Fermion ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime

NONLOCAL RESISTANCE AND EDGE CURRENTS IN THE FRACTIONAL QUANTUM HALL REGIME

1991 ◽  
Vol 05 (24n25) ◽  
pp. 1617-1624 ◽  
Author(s):  
J.K. WANG ◽  
V.J. GOLDMAN
Keyword(s):  
Electrical Transport ◽  
Quantum Hall ◽  
Edge State ◽  
Edge States ◽  
State Structure ◽  
Electron Hole ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime

We have studied nonlocal electrical transport over macroscopic distances in the regime of the fractional quantum Hall effect (FQHE). Experiments clearly demonstrate dissipationless edge state conduction associated with the FQHE. Surprisingly, our data imply that there is no edge state conduction near ν=1/2 and on the low ν side of the ν=1 QHE state, while there is edge state conduction near ν=3/2 and on the high ν side of the ν=1 QHE state. We also observe that the electron-hole symmetry is broken for the edge states in a confined geometry. We develop a picture of edge state structure consistent with these observations.

scholarly journals PHONON EXCITATIONS OF COMPOSITE FERMION LANDAU LEVELS

2004 ◽  
Vol 18 (27n29) ◽  
pp. 3857-3864 ◽  
Author(s):  
F. SCHULZE-WISCHELER ◽  
F. HOHLS ◽  
U. ZEITLER ◽  
D. REUTER ◽  
A. D. WIECK ◽  
...  
Keyword(s):  
Filling Factor ◽  
Quantum Hall ◽  
Landau Levels ◽  
Composite Fermion ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
The Magnetic Field ◽  
Linear Field

Energy gaps in the fractional quantum Hall regime are measured with phonon spectroscopy for various electron densities and filling factors ν=1/3, 2/5, 4/7, 3/5, 2/3, 4/3, and 5/3. At a given filling factor nearly all gaps measured show a square-root dependence on the magnetic field. The measured gaps can be described well with composite fermion theory: They are transitions between composite fermion Landau levels that are not affected by disorder on phonon wavelength. All transitions can be described by one single fit parameter related to the composite fermion effective mass. In contrast, the gaps at filling factor ν=2/3 in the high fields regime show a linear field dependence. This hints onto an only partially polarized ground state of 2/3.

Separately contacted edge states in the fractional quantum Hall regime

2004 ◽  
Vol 22 (1-3) ◽  
pp. 177-180 ◽  
Author(s):  
A. Würtz ◽  
E.V. Deviatov ◽  
A. Lorke ◽  
V.T. Dolgopolov ◽  
D. Reuter ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime

Reflection of edge states in the fractional quantum Hall regime

1995 ◽  
Vol 96 (6) ◽  
pp. 327-331 ◽  
Author(s):  
JEF Frost ◽  
C-T Liang ◽  
DR Mace ◽  
MY Simmons ◽  
M Pepper ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime

scholarly journals Nonlinear optics in the fractional quantum Hall regime

Nature ◽  
2019 ◽  
Vol 572 (7767) ◽  
pp. 91-94 ◽  
Author(s):  
Patrick Knüppel ◽  
Sylvain Ravets ◽  
Martin Kroner ◽  
Stefan Fält ◽  
Werner Wegscheider ◽  
...  
Keyword(s):  
Nonlinear Optics ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime
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