Nonequilibrium Charge Dynamics of Tomonaga–Luttinger Liquids in Quantum Hall Edge Channels

2022 ◽  
pp. 2100354
Author(s):  
Toshimasa Fujisawa
Keyword(s):  
Quantum Hall ◽  
Luttinger Liquids ◽  
Charge Dynamics

scholarly journals Particle–hole symmetric Luttinger liquids in a quantum Hall circuit

2006 ◽  
Vol 34 (1-2) ◽  
pp. 132-135 ◽  
Author(s):  
Stefano Roddaro ◽  
Umberto Perinetti ◽  
Vittorio Pellegrini ◽  
Fabio Beltram ◽  
Loren N. Pfeiffer ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Luttinger Liquids

scholarly journals Pairing in Luttinger Liquids and Quantum Hall States

2017 ◽  
Vol 7 (3) ◽  
Author(s):  
Charles L. Kane ◽  
Ady Stern ◽  
Bertrand I. Halperin
Keyword(s):  
Quantum Hall ◽  
Luttinger Liquids ◽  
Quantum Hall States ◽  
Hall States

Quantum Hall effect, chiral Luttinger liquids and fractional charges

2002 ◽  
Vol 3 (6) ◽  
pp. 717-732
Author(s):  
Patrice Roche ◽  
V. Rodriguez ◽  
D.Christian Glattli
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Luttinger Liquids

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.

Sign in / Sign up

Export Citation Format

Share Document