Multichannel charge Kondo effect and non-Fermi-liquid fixed points in conventional and topological superconductor islands

Papaj, Michał; Zhu, Zheng; Fu, Liang

doi:10.1103/physrevb.99.014512

Title: Multichannel charge Kondo effect and non-Fermi-liquid fixed points in conventional and topological superconductor islands

Journal Article · 13 January 2019 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.99.014512 · OSTI ID:1611435

Papaj, Michał ^[1]; Zhu, Zheng ^[2]; Fu, Liang ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); DOE/OSTI
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We study multiterminal Majorana and conventional superconducting islands in the vicinity of the charge degeneracy point using bosonization and the numerical renormalization group. Both models map to the multichannel charge Kondo problem, but for noninteracting normal leads they flow to different non-Fermi-liquid fixed points at low temperatures. We compare and contrast both cases by numerically obtaining the full crossover to the low-temperature regime, and we predict distinctive transport signatures. Here, the differences between the two types of islands result from a crucial distinction between charge-2e and charge-e transfer in the conventional and topological case, respectively. In the conventional case, our results establish s-wave islands as a platform to study the intermediate multichannel Kondo fixed point. In the topological setup, the crossover temperature to non-Fermi-liquid behavior is relatively high as it is proportional to the level broadening, and the transport results are not sensitive to channel coupling anisotropy, moving away from the charge degeneracy point or including a small Majorana hybridization, which makes our proposal experimentally feasible.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0010526

OSTI ID:: 1611435

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 1 Vol. 99; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Multichannel charge Kondo effect and non-Fermi-liquid fixed points in conventional and topological superconductor islands

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