scholarly journals Formation of helical domain walls in the fractional quantum Hall regime as a step toward realization of high-order non-Abelian excitations

2018 ◽  
Vol 97 (24) ◽  
Author(s):  
Tailung Wu ◽  
Zhong Wan ◽  
Aleksandr Kazakov ◽  
Ying Wang ◽  
George Simion ◽  
...  
Keyword(s):  
Domain Walls ◽  
Quantum Hall ◽  
High Order ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Helical Domain ◽  
Quantum Hall Regime ◽  
Hall Regime

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 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

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
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