Stripe order and diode effect in two-dimensional Rashba superconductors

Fuente: arXiv
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Autore principale: Aoyama, Kazushi
Natura: Preprint
Pubblicazione: 2023
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author Aoyama, Kazushi
author_facet Aoyama, Kazushi
contents In two-dimensional superconductors with a Rashba-type spin-orbit coupling, it is known that an in-plane magnetic field can induce a helical superconducting (SC) state with a phase modulation $e^{i {\bf q}\cdot {\bf r}}$. Here, we theoretically investigate the stability of a stripe order, a weight-biased superposition state composed of $+{\bf q}$ and $-{\bf q}$ modes taking the form of $Δ_+ e^{i{\bf q}\cdot{\bf r}}+Δ_- e^{-i{\bf q}\cdot{\bf r}}$ with $|Δ_+|\neq|Δ_-|\neq 0$, assuming that the spin-singlet pairing channel is dominant. Based on the Ginzburg-Landau theory, we show that for both s-wave and d-wave pairing symmetries, the stripe order can appear in the high-field and low-temperature region inside the helical phase and that the transition between the helical and stripe phases is of second order. It is noteworthy that for the d-wave pairing, the stability region of the stripe phase shrinks when the in-plane field is rotated from the nodal direction to the anti-nodal direction. It is also found that the nonreciprocity of the critical current, the so-called SC diode effect, emerges not only in the helical phase but also in the stripe phase, with no clear nonreciprocity anomaly at the helical-stripe transition due to its second-order nature.
format Preprint
id arxiv_https___arxiv_org_abs_2310_16272
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Stripe order and diode effect in two-dimensional Rashba superconductors
Aoyama, Kazushi
Superconductivity
Strongly Correlated Electrons
In two-dimensional superconductors with a Rashba-type spin-orbit coupling, it is known that an in-plane magnetic field can induce a helical superconducting (SC) state with a phase modulation $e^{i {\bf q}\cdot {\bf r}}$. Here, we theoretically investigate the stability of a stripe order, a weight-biased superposition state composed of $+{\bf q}$ and $-{\bf q}$ modes taking the form of $Δ_+ e^{i{\bf q}\cdot{\bf r}}+Δ_- e^{-i{\bf q}\cdot{\bf r}}$ with $|Δ_+|\neq|Δ_-|\neq 0$, assuming that the spin-singlet pairing channel is dominant. Based on the Ginzburg-Landau theory, we show that for both s-wave and d-wave pairing symmetries, the stripe order can appear in the high-field and low-temperature region inside the helical phase and that the transition between the helical and stripe phases is of second order. It is noteworthy that for the d-wave pairing, the stability region of the stripe phase shrinks when the in-plane field is rotated from the nodal direction to the anti-nodal direction. It is also found that the nonreciprocity of the critical current, the so-called SC diode effect, emerges not only in the helical phase but also in the stripe phase, with no clear nonreciprocity anomaly at the helical-stripe transition due to its second-order nature.
title Stripe order and diode effect in two-dimensional Rashba superconductors
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2310.16272