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Macroscopic coherence in quantum fluids allows the observation of interference effects in their wavefunctions, and enables applications such as superconducting quantum interference devices based on Josephson tunneling. The Josephson effect manifests in both fermionic and bosonic systems, and has been well studied in superfluid helium and atomic Bose-Einstein condensates. In exciton-polariton condensates-that offer a path to integrated semiconductor platforms-creating weak links in ring geometries has so far remained challenging.

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Josephson diode effect in one-dimensional quantum wires connected to superconductors with mixed singlet-triplet pairing.

J Phys Condens Matter

January 2025

School of Physics, University of Hyderabad, Prof. C. R. Rao Road, Gachibowli, Hyderabad 500046, India.

The Josephson diode effect (JDE), characterized by asymmetric critical currents in a Josephson junction, has drawn considerable attention in the field of condensed matter physics. We investigate the conditions under which JDE can manifest in a one-dimensional Josephson junction composed of a spin-orbit-coupled quantum wire with an applied Zeeman field, connected between two superconductors (SCs). Our study reveals that while spin-orbit coupling (SOC) and a Zeeman field in the quantum wire are not sufficient to induce JDE when the SCs are purely singlet, introduction of triplet pairing in the SCs leads to the emergence of JDE.

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φ Josephson Junction Induced by Altermagnetism.

Phys Rev Lett

November 2024

Department of Applied Physics, Nagoya University, Nagoya 464-8603, Japan.

We study the Josephson effect in a superconductor-altermagnet-superconductor junction. We find anomalous phenomena, including 0-π transition and multinodal current-phase relations. Similar to a d-wave superconductor, a d-wave altermagnet can support a φ junction where free-energy minima locate neither φ=0 nor ±π with double degeneracy.

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Dynamical Exciton Condensates in Biased Electron-Hole Bilayers.

Phys Rev Lett

November 2024

Department of Physics, Columbia University, 538 West 120th Street, New York, New York 10027, USA.

Bilayer materials may support interlayer excitons comprised of electrons in one layer and holes in the other. In experiments, a nonzero exciton density is typically sustained by a bias chemical potential, implemented either by optical pumping or by electrical contacts connected to the two layers. We show that if charge can tunnel between the layers, the chemical potential bias means that an exciton condensate is in the dynamical regime of ac Josephson effect.

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We theoretically study the transport signatures of unpaired Floquet Majorana fermions in the Josephson current of weakly linked, periodically driven topological superconductors. We obtain analytical expressions for the occupation of the Floquet Majorana fermions in the presence of weak coupling to thermal reservoirs, and show that, similar to undriven topological superconductors, for sufficiently low temperatures and large systems the Josephson current involving Floquet Majorana fermions is 4π-periodic in the phase difference across the junction and depends linearly on the coupling between superconductors. Moreover, unlike the static case, the amplitude of the Josephson current can be tuned by setting the unbiased chemical potential of the driven superconductors at multiple harmonics of the drive frequency.

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