scholarly journals Luttinger liquids and composite fermions in nanostructures: what is the nature of the edge states in the fractional quantum Hall regime?

1997 ◽  
Vol 21 (1) ◽  
pp. 49-60 ◽  
Author(s):  
Michael R Geller ◽  
Daniel Loss ◽  
George Kirczenow
Keyword(s):  
Quantum Hall ◽  
Edge States ◽  
Composite Fermions ◽  
Luttinger Liquids ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime

scholarly journals Cyclotron Orbits of Composite Fermions in the Fractional Quantum Hall Regime

2018 ◽  
Vol 120 (1) ◽  
Author(s):  
Insun Jo ◽  
Hao Deng ◽  
Yang Liu ◽  
L. N. Pfeiffer ◽  
K. W. West ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Composite Fermions ◽  
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 Transport in helical Luttinger liquids in the fractional quantum Hall regime

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Ying Wang ◽  
Vadim Ponomarenko ◽  
Zhong Wan ◽  
Kenneth W. West ◽  
Kirk W. Baldwin ◽  
...  
Keyword(s):  
Domain Walls ◽  
Quantum Hall ◽  
S Wave ◽  
Luttinger Liquids ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Helical Channels ◽  
Topological Superconductivity

AbstractDomain walls in fractional quantum Hall ferromagnets are gapless helical one-dimensional channels formed at the boundaries of topologically distinct quantum Hall (QH) liquids. Naïvely, these helical domain walls (hDWs) constitute two counter-propagating chiral states with opposite spins. Coupled to an s-wave superconductor, helical channels are expected to lead to topological superconductivity with high order non-Abelian excitations1–3. Here we investigate transport properties of hDWs in the ν = 2/3 fractional QH regime. Experimentally we found that current carried by hDWs is substantially smaller than the prediction of the naïve model. Luttinger liquid theory of the system reveals redistribution of currents between quasiparticle charge, spin and neutral modes, and predicts the reduction of the hDW current. Inclusion of spin-non-conserving tunneling processes reconciles theory with experiment. The theory confirms emergence of spin modes required for the formation of fractional topological superconductivity.

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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