Electronic correlations in magnetized helical edge states coupled to s-wave superconductors

Fuente: arXiv
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Autores principales: Bakhshipour, Zeinab, Hosseini, Mir Vahid
Formato: Preprint
Publicado: 2025
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author Bakhshipour, Zeinab
Hosseini, Mir Vahid
author_facet Bakhshipour, Zeinab
Hosseini, Mir Vahid
contents We theoretically study the role of electron-electron interactions in one-dimensional magnetized helical states coupled to an s-wave superconductor. We consider a partially mixed helical (superhelical) regime, where the magnetic field (superconductivity) has a dominant contribution. Using bosonization and renormalization group techniques, it is shown how the interactions affect the correlation functions in the system. In the partially mixed helical regime, we find that superconducting pairing promotes spin-density-wave correlations, while singlet and triplet pairing correlations suppress, especially under attractive interactions. In contrast, in the superhelical regime, a perturbative Zeeman field enhances both spin singlet and spin triplet-x pairings under repulsive interactions. We calculate both logarithmic and residual corrections to charge-density-wave, spin-density-wave, and pairing correlations, revealing short- and long-range behaviors. We further investigate spin transport properties supplemented by a renormalization group analysis of the temperature and frequency dependence of spin conductivity. We also analyze the transport of momentum-spin-locked carriers in the presence of Zeeman-induced and pairing-induced gaps, uncovering the effect of interactions and the interplay between the two gaps in helical systems.
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id arxiv_https___arxiv_org_abs_2508_21326
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
Bakhshipour, Zeinab
Hosseini, Mir Vahid
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Superconductivity
We theoretically study the role of electron-electron interactions in one-dimensional magnetized helical states coupled to an s-wave superconductor. We consider a partially mixed helical (superhelical) regime, where the magnetic field (superconductivity) has a dominant contribution. Using bosonization and renormalization group techniques, it is shown how the interactions affect the correlation functions in the system. In the partially mixed helical regime, we find that superconducting pairing promotes spin-density-wave correlations, while singlet and triplet pairing correlations suppress, especially under attractive interactions. In contrast, in the superhelical regime, a perturbative Zeeman field enhances both spin singlet and spin triplet-x pairings under repulsive interactions. We calculate both logarithmic and residual corrections to charge-density-wave, spin-density-wave, and pairing correlations, revealing short- and long-range behaviors. We further investigate spin transport properties supplemented by a renormalization group analysis of the temperature and frequency dependence of spin conductivity. We also analyze the transport of momentum-spin-locked carriers in the presence of Zeeman-induced and pairing-induced gaps, uncovering the effect of interactions and the interplay between the two gaps in helical systems.
title Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Superconductivity
url https://arxiv.org/abs/2508.21326