Generalized Josephson effect with arbitrary periodicity in quantum magnets

Fuente: arXiv
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Main Authors: Tripathi, Anshuman, Gerken, Felix, Schmitteckert, Peter, Thorwart, Michael, Trif, Mircea, Posske, Thore
Format: Preprint
Published: 2024
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author Tripathi, Anshuman
Gerken, Felix
Schmitteckert, Peter
Thorwart, Michael
Trif, Mircea
Posske, Thore
author_facet Tripathi, Anshuman
Gerken, Felix
Schmitteckert, Peter
Thorwart, Michael
Trif, Mircea
Posske, Thore
contents Easy-plane quantum magnets are strikingly similar to superconductors, allowing for spin supercurrent and an effective superconducting phase stemming from their $U(1)$ rotation symmetry around the $z$-axis. We uncover a generalized fractional Josephson effect with a periodicity that increases linearly with system size in one-dimensional spin-$1/2$ chains at selected anisotropies and phase-fixing boundary fields. The effect combines arbitrary integer periodicities in a single system, exceeding the $4π$ and $8π$ periodicity of superconducting Josephson effects of Majorana zero modes and other exotic quasiparticles. We reveal a universal energy-phase relation and connect the effect to the recently discovered phantom helices.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04008
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Generalized Josephson effect with arbitrary periodicity in quantum magnets
Tripathi, Anshuman
Gerken, Felix
Schmitteckert, Peter
Thorwart, Michael
Trif, Mircea
Posske, Thore
Strongly Correlated Electrons
Superconductivity
Quantum Physics
Easy-plane quantum magnets are strikingly similar to superconductors, allowing for spin supercurrent and an effective superconducting phase stemming from their $U(1)$ rotation symmetry around the $z$-axis. We uncover a generalized fractional Josephson effect with a periodicity that increases linearly with system size in one-dimensional spin-$1/2$ chains at selected anisotropies and phase-fixing boundary fields. The effect combines arbitrary integer periodicities in a single system, exceeding the $4π$ and $8π$ periodicity of superconducting Josephson effects of Majorana zero modes and other exotic quasiparticles. We reveal a universal energy-phase relation and connect the effect to the recently discovered phantom helices.
title Generalized Josephson effect with arbitrary periodicity in quantum magnets
topic Strongly Correlated Electrons
Superconductivity
Quantum Physics
url https://arxiv.org/abs/2408.04008