Intrinsic space-time crystalline order in a hybrid Josephson junction

Fuente: arXiv
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Autores principales: Nashaat, M., Tekić, J., Shukrinov, Yu. M.
Formato: Preprint
Publicado: 2025
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author Nashaat, M.
Tekić, J.
Shukrinov, Yu. M.
author_facet Nashaat, M.
Tekić, J.
Shukrinov, Yu. M.
contents We demonstrate the emergence of an intrinsic space-time crystalline order in a long ferromagnetic $φ_{0}$ Josephson junction on a topological insulator without any external periodic modulation. The presence of the exchange and Dzyaloshinskii-Moriya interactions in a ferromagnetic layer with broken inversion symmetry internally modulates the critical current due to the coupling between the magnetic moment and the Josephson phase. This breaks the time translation symmetry, leading to the appearance of the space-time crystalline pattern in the spatiotemporal dependence of the in-plane current, which oscillates with almost twice the ferromagnetic resonance frequency. In the limit where the critical current is not modulated internally, the space-time crystalline order does not occur. In this case, only when an external parametric modulation is applied, the system exhibits a typical classical discrete space-time crystalline order that oscillates at half of the modulation frequency. Considering the still-pending problem of experimental detection, we demonstrate that a recently developed magnetometry device, which visualizes the supercurrent flow at the nanoscale, can be used to detect space-time crystalline patterns in hybrid Josephson junctions experimentally.
format Preprint
id arxiv_https___arxiv_org_abs_2501_05797
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Intrinsic space-time crystalline order in a hybrid Josephson junction
Nashaat, M.
Tekić, J.
Shukrinov, Yu. M.
Superconductivity
We demonstrate the emergence of an intrinsic space-time crystalline order in a long ferromagnetic $φ_{0}$ Josephson junction on a topological insulator without any external periodic modulation. The presence of the exchange and Dzyaloshinskii-Moriya interactions in a ferromagnetic layer with broken inversion symmetry internally modulates the critical current due to the coupling between the magnetic moment and the Josephson phase. This breaks the time translation symmetry, leading to the appearance of the space-time crystalline pattern in the spatiotemporal dependence of the in-plane current, which oscillates with almost twice the ferromagnetic resonance frequency. In the limit where the critical current is not modulated internally, the space-time crystalline order does not occur. In this case, only when an external parametric modulation is applied, the system exhibits a typical classical discrete space-time crystalline order that oscillates at half of the modulation frequency. Considering the still-pending problem of experimental detection, we demonstrate that a recently developed magnetometry device, which visualizes the supercurrent flow at the nanoscale, can be used to detect space-time crystalline patterns in hybrid Josephson junctions experimentally.
title Intrinsic space-time crystalline order in a hybrid Josephson junction
topic Superconductivity
url https://arxiv.org/abs/2501.05797