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In two-dimensional electron systems with broken inversion and time-reversal symmetries, a Josephson junction reveals an anomalous response: the supercurrent is nonzero even at zero phase difference between two superconductors. We consider…

Superconductivity · Physics 2022-12-21 Jaglul Hasan , Konstantin N. Nesterov , Songci Li , Manuel Houzet , Julia S. Meyer , Alex Levchenko

The DC Josephson effect is the flow of supercurrent across a weak link between two superconductors with a different value of their order parameter, the phase. We generalize this notion to any kind of spontaneous continuous symmetry…

Other Condensed Matter · Physics 2020-08-04 Aron J. Beekman

We study the statistical mechanics of a $D$-dimensional array of Josephson junctions in presence of a magnetic field on a lattice of side $2$. In the high temperature region the thermodynamical properties can be computed in the limit $D \to…

Condensed Matter · Physics 2016-08-31 Enzo Marinari , Giorgio Parisi , Felix Ritort

The Theory of Functional Connections (TFC) is a functional interpolation framework founded upon the so-called constrained expression: a functional that expresses the family of all possible functions that satisfy some user-specified, linear…

Analysis of PDEs · Mathematics 2021-10-25 Carl Leake

We study theoretically dynamics in a Josephson junction coupled to a mechanical resonator looking at the signatures of the resonance in d.c. electrical response of the junction. Such a system can be realized experimentally as a suspended…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 C. Padurariu , C. J. H. Keijzers , Yu. V. Nazarov

In the Josephson effect, coherent Cooper pair tunneling is driven by the phase difference between the superconducting order parameters on opposite sides of the junction. By analogy, differences in order parameters across a junction should…

Strongly Correlated Electrons · Physics 2008-11-20 D. Chassé , A. -M. S. Tremblay

We present a mesoscale description of deformations and defects in thin, flexible sheets with crystalline order, tackling the interplay between in-plane elasticity, out-of-plane deformation, as well as dislocation nucleation and motion. Our…

Materials Science · Physics 2025-02-26 Lucas Benoit--Maréchal , Ingo Nitschke , Axel Voigt , Marco Salvalaglio

We report on a self-consistent microscopic study of the DC Josephson effect in $SINIS$ junctions where screened dipole layers at the $SN$ interfaces generate a double-barrier multilayered $SIN$ structure. Our approach starts from a…

Superconductivity · Physics 2009-11-07 Branislav K. Nikolic , J. K. Freericks , P. Miller

A superconductor/normal metal/superconductor Josephson junction is a coherent electron system where the thermodynamic entropy depends on temperature and phase difference across the weak-link. Here, exploiting the phase-temperature…

Mesoscale and Nanoscale Physics · Physics 2019-03-04 Francesco Vischi , Matteo Carrega , Pauli Virtanen , Elia Strambini , Alessandro Braggio , Francesco Giazotto

We study the dc Josephson effect and the density of states in a multiterminal structure of cross-type geometry which consists of four superconducting electrodes connected by one-dimensional normal or ferromagnetic wires. We find that the…

Superconductivity · Physics 2013-01-16 Sebastian Mai , Ervand Kandelaki , Anatoly Volkov , Konstantin Efetov

A stationary Josephson effect in point contacts between triplet superconductors is analyzed theoretically for most probable models of the order parameter in UPt_{3} and Sr_{2}RuO_{4}. The consequence of misorientation of crystals in…

Superconductivity · Physics 2011-07-26 R. Mahmoodi , S. N. Shevchenko , Yu. A. Kolesnichenko

The magnetic field dependent critical current $I_{\text{c}}(B)$ of a Josephson junction is determined by the screening currents in its electrodes. In macroscopic junctions, a local vector potential drives the currents, however, in thin film…

Superconductivity · Physics 2023-02-13 Remko Fermin , Bob de Wit and , Jan Aarts

We evaluate the frequencies of scissors modes for density and concentration fluctuations in a vapour of fermionic atoms placed in two hyperfine levels inside a spherical harmonic trap. Both the superfluid and the normal state are…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Mario P. Tosi

Josephson effect in junctions of quasi one-dimensional triangular lattice superconductors is discussed, where the theoretical model corresponds to organic superconductors (TMTSF)_2PF_6. We assume the quarter-filling electron band and p, d…

Superconductivity · Physics 2009-11-10 Y. Asano , Y. Tanaka , Y. Tanuma , K. Kuroki , H. Tsuchiura

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

We report large-scale simulations of the resistively-shunted Josephson junction array in strip geometry. As the strip width increases, the voltage first decreases following the dynamic scaling ansatz proposed by Minnhagen {\it et al.}…

Statistical Mechanics · Physics 2016-08-31 Qing-Hu Chen , Lei-Han Tang , Peiqing Tong

Josephson effect in a planar graphene junction is studied by assuming that the coupling of a graphene sheet and two superconductors deposited on its top is described by a tunneling Hamiltonian. This model properly takes account of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Yositake Takane , Ken-Ichiro Imura

In Part I of this set of two papers, a model of mesoscopic plasticity is developed for studying initial-boundary value problems of small scale plasticity. Here we make qualitative, finite element method-based computational predictions of…

Materials Science · Physics 2016-08-31 Anish Roy , Amit Acharya

A technique allowing for a perturbative treatment of nonlocal corrections to the single-site dynamical mean-field theory (DMFT) in finite dimensions is developed. It is based on the observation that in the case of strong electron…

Strongly Correlated Electrons · Physics 2008-06-02 V. I. Tokar , R. Monnier

Topological Josephson junctions (JJs), which contain Majorana bound states, are expected to exhibit 4$\pi$-periodic current-phase relation, thereby resulting in doubled Shapiro steps under microwave irradiation. We performed numerical…

Superconductivity · Physics 2020-12-30 Yeongmin Jang , Yong-Joo Doh