Anisotropic Josephson coupling of $d$ vectors in triplet superconductors arising from frustrated spin textures

Fuente: arXiv
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Main Authors: Frazier, Grayson R., Zhang, Junyi, Li, Yi
Format: Preprint
Published: 2025
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author Frazier, Grayson R.
Zhang, Junyi
Li, Yi
author_facet Frazier, Grayson R.
Zhang, Junyi
Li, Yi
contents We demonstrate that coupling itinerant electrons to a noncollinear classical exchange field can induce anisotropic Josephson coupling between superconducting $d$ vectors, analogous to the Dzyaloshinskii-Moriya and $Γ$-type interactions in magnetism. Using perturbative methods, we analyze an $s$-$d$ model on a geometrically frustrated lattice. Noncollinear local spin textures generate spin triplet pairing correlations and can favor spatially varying superconducting order due to anisotropic Josephson couplings between $d$ vectors, endowing a ``pliability'' to the pairing order that competes with the superfluid stiffness. For nonunitary pairing, this spatial texture of $d$ vectors can give rise to anomalous vortices in the absence of an external magnetic field. We further predict a Josephson diode effect with efficiency proportional to the spin chirality of the underlying magnetic texture. These results establish a link between frustrated magnetism and spatial textures of triplet superconducting pairing, with implications for a range of materials such as Mn$_3$Ge and $4H_b$-TaS$_2$, where superconductivity can be proximity-induced or intrinsic.
format Preprint
id arxiv_https___arxiv_org_abs_2506_15661
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Anisotropic Josephson coupling of $d$ vectors in triplet superconductors arising from frustrated spin textures
Frazier, Grayson R.
Zhang, Junyi
Li, Yi
Superconductivity
Strongly Correlated Electrons
We demonstrate that coupling itinerant electrons to a noncollinear classical exchange field can induce anisotropic Josephson coupling between superconducting $d$ vectors, analogous to the Dzyaloshinskii-Moriya and $Γ$-type interactions in magnetism. Using perturbative methods, we analyze an $s$-$d$ model on a geometrically frustrated lattice. Noncollinear local spin textures generate spin triplet pairing correlations and can favor spatially varying superconducting order due to anisotropic Josephson couplings between $d$ vectors, endowing a ``pliability'' to the pairing order that competes with the superfluid stiffness. For nonunitary pairing, this spatial texture of $d$ vectors can give rise to anomalous vortices in the absence of an external magnetic field. We further predict a Josephson diode effect with efficiency proportional to the spin chirality of the underlying magnetic texture. These results establish a link between frustrated magnetism and spatial textures of triplet superconducting pairing, with implications for a range of materials such as Mn$_3$Ge and $4H_b$-TaS$_2$, where superconductivity can be proximity-induced or intrinsic.
title Anisotropic Josephson coupling of $d$ vectors in triplet superconductors arising from frustrated spin textures
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2506.15661