Chiral Luttinger liquids at the fractional quantum Hall edge

2003 ◽  
Vol 75 (4) ◽  
pp. 1449-1505 ◽  
Author(s):  
A. M. Chang
Keyword(s):  
Quantum Hall ◽  
Luttinger Liquids ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

Continuum of Chiral Luttinger Liquids at the Fractional Quantum Hall Edge

1998 ◽  
Vol 80 (5) ◽  
pp. 1062-1065 ◽  
Author(s):  
M. Grayson ◽  
D. C. Tsui ◽  
L. N. Pfeiffer ◽  
K. W. West ◽  
A. M. Chang
Keyword(s):  
Quantum Hall ◽  
Luttinger Liquids ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

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.

scholarly journals Exact Nonequilibrium dc Shot Noise in Luttinger Liquids and Fractional Quantum Hall Devices

1995 ◽  
Vol 75 (11) ◽  
pp. 2196-2199 ◽  
Author(s):  
P. Fendley ◽  
A. W. W. Ludwig ◽  
H. Saleur
Keyword(s):  
Shot Noise ◽  
Quantum Hall ◽  
Luttinger Liquids ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

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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