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In this work, a Josephson relation is generalized to a multi-component fermion superfluid. Superfluid density is expressed through a two-particle Green function for pairing channels. When the system has only one gapless collective…

Superconductivity · Physics 2022-05-18 Yi-Cai Zhang

The Josephson sum rule relates the superfluid density to the condensate order parameter, via the infrared residue of the single-particle Green's function. We establish an effective Josephson relation for disordered condensates valid upon…

Quantum Gases · Physics 2015-02-11 Cord A. Müller

We derive the Josephson relation in a superfluid between the condensate density, the superfluid mass density, and the infrared structure of the single particle Green's function by means of diagrammatic perturbation theory. The derivation is…

Statistical Mechanics · Physics 2007-05-23 Markus Holzmann , Gordon Baym

It is well established that superconductivity is based on a coherent quantum state of Cooper pairs with charge 2e, and this is equally true of the Josephson effect. In contrast, Kadin recently presented an alternative real-space model of…

Superconductivity · Physics 2010-08-02 Alan M. Kadin

We consider the Josephson effect when two independent Bose superfluids are weakly connected. In the presence of interparticle interaction and based on the calculations of the one-particle density matrix of the whole system, we find that the…

Superconductivity · Physics 2009-11-11 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

We study the Josephson effect between atomic Bose-Einstein condensates. By drawing on an electrostatic analogy, we derive a semiclassical functional expression for the three-dimensional Josephson coupling energy in terms of the condensate…

Condensed Matter · Physics 2009-10-30 Ivar Zapata , Fernando Sols , Anthony J. Leggett

We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Kiryl Piasotski , Mikhail Pletyukhov , Alexander Shnirman

A general formula for Josephson current in a wide class of hybrid junctions between different internal structures is derived on the basis of the Andreev picture. The formula extends existing formulae and also enables us to analyze novel…

Superconductivity · Physics 2013-05-29 Munehiro Nishida , Noriyuki Hatakenaka , Susumu Kurihara

We derive the Josephson relation for a dilute Bose gas in the framework of an auxiliary-field resummation of the theory in terms of the normal- and anomalous-density condensates. The mean-field phase diagram of this theory features two…

Quantum Gases · Physics 2015-06-03 John F. Dawson , Bogdan Mihaila , Fred Cooper

Equations describing the resistive state of a layered superconductor with anisotropic pairing are derived. The similarity with a stack of Josephson junctions is found at small voltages only, when current density in the direction…

Superconductivity · Physics 2009-10-30 S. N. Artemenko , A. G. Kobelkov

In this work, we generalize the two-fluid theory to a superfluid system with anisotropic effective masses along different principal axis directions. As a specific example, such a theory can be applied to spin-orbit coupled Bose-Einstein…

Quantum Gases · Physics 2019-04-26 Yi-Cai Zhang , Chao-Fei Liu , Bao Xu , Gang Chen , W. M. Liu

A microscopic theory for the coupling of intrinsic Josephson oscillations due to charge fluctuations on the quasi two-dimensional superconducting layers is presented. Thereby in close analogy to the normal state the effect of the scalar…

Superconductivity · Physics 2009-10-31 Ch. Helm , J. Keller , Ch. Preis , A. Sergeev

Consideration of the balance of forces on superconducting condensate at low frequencies leads to the well-known Josephson Relation. Using the Ginzburg-Landau expression for the current, an expression relating the electric field to the…

Superconductivity · Physics 2010-09-27 Pei-Jen Lin , P. Lipavský , Peter Matlock

The Josephson effect characterizes superfluids and superconductors separated by a weak link, the so-called Josephson junction. A recent experiment has shown that Josephson oscillations can be observed also in a supersolid, where the weak…

The stationary Josephson effect in a system of ballistic graphene is studied in the framework of quasiclassical Green's function theory. Reflecting the ultimate two-dimensionality of graphene, a Josephson junction involving a graphene sheet…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Yositake Takane , Ken-Ichiro Imura

The Josephson relation for the superfluid density is derived for a Fermi superfluid in the BCS-BEC crossover. This identity extends the original Josephson relation for Bose superfluids. It gives a simple exact relation between the…

Other Condensed Matter · Physics 2008-12-12 Edward Taylor

We investigate a non-interacting many-particle bosonic system, placed in an asymmetric double-well potential. We first consider the dynamics of a single particle and determine its time-dependent probabilities to be in the left or the right…

Quantum Physics · Physics 2024-02-21 Kateryna Korshynska , Sebastian Ulbricht

We introduce a generic bosonic model exemplifying that (spin) Meissner currents can persist in insulating phases of matter. We consider two species of interacting bosons on a lattice. Our model exhibits separation of charge (total density)…

Quantum Gases · Physics 2015-06-16 Alexandru Petrescu , Karyn Le Hur

We study theoretically the Josephson effect in junctions based on unconventional superconductors with diffusive barriers, using the quasiclassical Green's function formalism. Generalized boundary conditions at junction interfaces applicable…

Superconductivity · Physics 2009-11-11 T. Yokoyama , Y. Tanaka , A. A. Golubov

Ballistic Josephson junctions are studied in the presence of a spin-splitting field and spin-orbit coupling. A generic expression for the quasi-classical Green's function is obtained and with its help we analyze several aspects of the…

Superconductivity · Physics 2016-07-27 François Konschelle , Ilya V. Tokatly , F. Sebastián Bergeret
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