Comment on "Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions''

Fuente: arXiv
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Autori principali: Sépulcre, Théo, Florens, Serge, Snyman, Izak
Natura: Preprint
Pubblicazione: 2022
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author Sépulcre, Théo
Florens, Serge
Snyman, Izak
author_facet Sépulcre, Théo
Florens, Serge
Snyman, Izak
contents In a recent Letter [Phys. Rev. Lett. 129, 087001, (2022)], Masuki, Sudo, Oshikawa, and Ashida studied a Josephson junction, with Josephson energy $E_{\rm J}$ and charging energy $E_{\rm C}$, shunted by an ohmic transmission line with conductance $α(2e)^2/h$. Their model includes a realistic high frequency cutoff of order $αE_c$, that is typically smaller than the plasma frequency $W$. The authors present a phase diagram showing surprising features, not anticipated in the established literature [eg. Schön and Zaikin, Phys. Reports 198, 237, (1990)]. For $E_{\rm J}/E_{\rm C}$ above a certain value, they find that the junction remains superconducting for all $α$, while below this value, they find that the insulating phase leads to re-entrant superconductivity at small $α$. In this Comment, we show that their Numerical Renormalization Group (NRG) implementation is uncontrolled, and that there is no evidence for the re-entrant superconductivity in the phase diagram presented in Fig. 1a of PRL 129, 087001.
format Preprint
id arxiv_https___arxiv_org_abs_2210_00742
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Comment on "Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions''
Sépulcre, Théo
Florens, Serge
Snyman, Izak
Superconductivity
Mesoscale and Nanoscale Physics
In a recent Letter [Phys. Rev. Lett. 129, 087001, (2022)], Masuki, Sudo, Oshikawa, and Ashida studied a Josephson junction, with Josephson energy $E_{\rm J}$ and charging energy $E_{\rm C}$, shunted by an ohmic transmission line with conductance $α(2e)^2/h$. Their model includes a realistic high frequency cutoff of order $αE_c$, that is typically smaller than the plasma frequency $W$. The authors present a phase diagram showing surprising features, not anticipated in the established literature [eg. Schön and Zaikin, Phys. Reports 198, 237, (1990)]. For $E_{\rm J}/E_{\rm C}$ above a certain value, they find that the junction remains superconducting for all $α$, while below this value, they find that the insulating phase leads to re-entrant superconductivity at small $α$. In this Comment, we show that their Numerical Renormalization Group (NRG) implementation is uncontrolled, and that there is no evidence for the re-entrant superconductivity in the phase diagram presented in Fig. 1a of PRL 129, 087001.
title Comment on "Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions''
topic Superconductivity
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2210.00742