Carrier-mediated spin helices in low-dimensional systems: Josephson-interference features and correlation renormalization
Abstract
Carrier-induced helical magnetism can arise in interacting one-dimensional systems coupled to localized moments. Here, we investigate the coupled-wire sliding-Luttinger-liquid counterparts with and without valley degrees of freedom, using isolated Tomonaga-Luttinger liquids as reference limits. The carrier spin susceptibility mediates a Ruderman-Kittel-Kasuya-Yosida interaction that selects the helical ordering wave vector, while interchannel correlations lock the relative helix phases and stabilize a collective quasi-two-dimensional texture. Using a variational treatment, we estimate the helix-induced partial gap and analyze the reconstruction of the remaining gapless carrier modes. To probe the spatial texture through transport, we incorporate the helix into an anisotropic superconductor-normal-metal-superconductor Josephson junction motivated by the coupled-channel structure of twisted bilayer WTe2. We exploit flux focusing near the junction interfaces to make an applied in-plane field a controlled probe of the spin helix. Relative to junctions without the helix, the helical exchange field modifies the central-lobe width and relative lobe weights. In the transverse-channel geometry, it also produces field-dependent side-lobe asymmetry and central-peak displacement, which remain negligible in the matched references for the parameters considered. The reconstructed carrier sector also exhibits modified local-density-of-states exponents, spin-relaxation behavior, and competing correlations, with distinct signatures in isolated and coupled-wire systems. Our results connect collective helical order in coupled-wire systems to carrier-sector reconstruction and identify field-tunable Josephson interferometry as a complementary transport probe of the spatial spin texture.
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BibTeX
@misc{chang2026carriermediated,
title = {{Carrier-mediated spin helices in low-dimensional systems: Josephson-interference features and correlation renormalization}},
author = {Yung-Yeh Chang and Chen-Hsuan Hsu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24502},
eprint = {2609.24502},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24502},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Carrier-mediated spin helices in low-dimensional systems: Josephson-interference features and correlation renormalization
AU - Yung-Yeh Chang
AU - Chen-Hsuan Hsu
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.24502
UR - https://arxiv.org/abs/2609.24502
AB - Carrier-induced helical magnetism can arise in interacting one-dimensional systems coupled to localized moments. Here, we investigate the coupled-wire sliding-Luttinger-liquid counterparts with and without valley degrees of freedom, using isolated Tomonaga-Luttinger liquids as reference limits. The carrier spin susceptibility mediates a Ruderman-Kittel-Kasuya-Yosida interaction that selects the helical ordering wave vector, while interchannel correlations lock the relative helix phases and stabilize a collective quasi-two-dimensional texture. Using a variational treatment, we estimate the helix-induced partial gap and analyze the reconstruction of the remaining gapless carrier modes. To probe the spatial texture through transport, we incorporate the helix into an anisotropic superconductor-normal-metal-superconductor Josephson junction motivated by the coupled-channel structure of twisted bilayer WTe_2. We exploit flux focusing near the junction interfaces to make an applied in-plane field a controlled probe of the spin helix. Relative to junctions without the helix, the helical exchange field modifies the central-lobe width and relative lobe weights. In the transverse-channel geometry, it also produces field-dependent side-lobe asymmetry and central-peak displacement, which remain negligible in the matched references for the parameters considered. The reconstructed carrier sector also exhibits modified local-density-of-states exponents, spin-relaxation behavior, and competing correlations, with distinct signatures in isolated and coupled-wire systems. Our results connect collective helical order in coupled-wire systems to carrier-sector reconstruction and identify field-tunable Josephson interferometry as a complementary transport probe of the spatial spin texture.
ER -