Transport in helical Luttinger liquids in the fractional quantum Hall regime

Wang, Ying; Ponomarenko, Vadim; Wan, Zhong; West, Kenneth W.; Baldwin, Kirk W.; Pfeiffer, Loren N.; Lyanda-Geller, Yuli; Rokhinson, Leonid P.

doi:10.1038/s41467-021-25631-2

Title: Transport in helical Luttinger liquids in the fractional quantum Hall regime

Journal Article · Tue Sep 07 00:00:00 EDT 2021 · Nature Communications

DOI:https://doi.org/10.1038/s41467-021-25631-2· OSTI ID:1819005

Wang, Ying; Ponomarenko, Vadim;

; West, Kenneth W.; Baldwin, Kirk W.; Pfeiffer, Loren N.; Lyanda-Geller, Yuli;

Abstract Domain 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 excitations ^1–3 . 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.

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Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); Gordon and Betty Moore Foundation’s EPiQS Initiative

Grant/Contract Number:: SC0010544; DMR-1836758; GBMF9615; DMR-1420541

OSTI ID:: 1819005

Alternate ID(s):: OSTI ID: 1851401

Journal Information:: Nature Communications, Journal Name: Nature Communications Vol. 12 Journal Issue: 1; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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