Generalized Josephson effect with arbitrary periodicity in quantum magnets

• URL: http://arxiv.org/abs/2408.04008v1
• Date: Wed, 7 Aug 2024 18:00:16 GMT
• Title: Generalized Josephson effect with arbitrary periodicity in quantum magnets
• Authors: Anshuman Tripathi, Felix Gerken, Peter Schmitteckert, Michael Thorwart, Mircea Trif, Thore Posske,
• Abstract summary: Easy-plane quantum magnets are strikingly similar to superconductors. We uncover a generalized fractional Josephson effect with a periodicity that increases linearly with system size. We reveal a universal energy-phase relation and connect the effect to the recently discovered phantom helices.
• Score: 2.677152559497569
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 $4\pi $ and $8\pi $ 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.

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