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The aim of this work is to establish a instability study for stationary kink and antikink/kink profiles solutions for the sine-Gordon equation on a metric graph with a structure represented by a Y-junction so-called a Josephson tricrystal…

Analysis of PDEs · Mathematics 2021-04-21 Jaime Angulo Pava , Ramón G. Plaza

We study the breakpoint region on the outermost branch of current-voltage characteristics of the stacks with different number of intrinsic Josephson junctions. We show that at periodic boundary conditions the breakpoint region is absent for…

Superconductivity · Physics 2015-06-25 Yu. M. Shukrinov , F. Mahfouzi , N. F. Pedersen

We investigate the dynamics of the Josephson vortex lattice in layered high-T$_{c}$ superconductors at high magnetic fields. Starting from coupled equations for superconducting phases and magnetic field we derive equations for the relative…

Superconductivity · Physics 2009-11-07 A. E. Koshelev , I. Aranson

Coupling the surface state of a topological insulator (TI) to an s-wave superconductor is predicted to produce the long-sought Majorana quasiparticle excitations. However, superconductivity has not been measured in surface states when the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Sungjae Cho , Brian Dellabetta , Alina Yang , John Schneeloch , Zhijun Xu , Tonica Valla , Genda Gu , Matthew J. Gilbert , Nadya Mason

We analyze a new long wave model describing the electrodynamics of an array of point Josephson junctions in a superconducting cavity. It consists in a wave equation with Dirac delta function sine nonlinearities. We introduce an adapted…

Superconductivity · Physics 2010-04-06 J. -G. Caputo , L. Loukitch

We consider a heterostructure of semiconductor layers sandwiched between two superconductors, forming a two-dimensional Josephson junction. Applying a Zeeman field perpendicular to the junction can render a topological superconducting phase…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 Shao-Kai Jian , Shuai Yin

The Higgs mode, originally proposed in the context of superconductivity, corresponds to oscillations of the amplitude of the superconducting order parameter. Recent THz-domain optical studies have found signatures consistent with the Higgs…

Superconductivity · Physics 2026-04-22 Aritra Lahiri , Juan Carlos Cuevas , Björn Trauzettel

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

Proximity-induced superconductivity in three dimensional (3D) topological insulators forms a new quantum phase of matter and accommodates exotic quasiparticles such as Majorana bound states. One of the biggest drawbacks of the commonly…

Using the functional integral method, we construct a theory of heterotic SIS Josephson junctions between single- and two-gap superconductors. The theory predicts the presence of in-phase and out-of-phase collective oscillation modes of…

Superconductivity · Physics 2009-06-14 Yukihiro Ota , Masahiko Machida , Tomio Koyama , Hideki Matsumoto

We theoretically investigate the transport properties of Josephson junctions composed of superconductor/minimally twisted bilayer graphene/superconductor structures. In the presence of an out-of-plane electric field, the low energy physics…

Mesoscale and Nanoscale Physics · Physics 2025-02-18 Ritajit Kundu , Arijit Kundu

In a very interesting recent Letter\cite{berg}, the authors suggested that a novel form of superconducting state is realized in La$_{2-x}$Ba$_x$CuO$_4$ with $x$ close to 1/8. This suggestion was based on experiments\cite{li} on this…

Superconductivity · Physics 2013-07-16 Kun Yang

We show that twisted interfaces between superconductors can serve as a phase-sensitive platform for the detection and characterization of pair density waves (PDW). In the presence of an in-plane magnetic field, the critical Josephson…

Superconductivity · Physics 2025-12-16 Jefferson Tang , Pavel A. Volkov

We consider a Josephson bijunction consisting of a thin $SIS$ $\pi$-Josephson junction sandwiched between two-dimensional semiconducting layers with strong Rashba spin-orbit interaction. Each of these layers forms an $SNS$ junction due to…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Yanick Volpez , Daniel Loss , Jelena Klinovaja

Solid-state qubits have the potential for the large-scale integration and for the flexibility of layout for quantum computing. However, their short decoherence time due to the coupling to the environment remains an important problem to be…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 T. Yamashita , K. Tanikawa , S. Takahashi , S. Maekawa

Semiconductor-superconductor hybrid nanocircuits are of high interest due to their potential applications in quantum computing. Semiconductors with a strong spin-orbit coupling and large $g$-factor are particularly attractive since they are…

Certain high-$T_c$ cuprate superconductors, which naturally realize a stack of Josephson junctions, thus can be used to generate electromagnetic waves in the terahertz region. A plate-like single crystal with $10^4$ junctions without cavity…

Superconductivity · Physics 2014-05-05 Shi-Zeng Lin

Spin-orbit coupling in two-dimensional systems is usually characterized by Rashba and Dresselhaus spin-orbit coupling (SOC) linear in the wave vector. However, there is a growing class of materials which instead support dominant SOC cubic…

Mesoscale and Nanoscale Physics · Physics 2021-05-03 Mohammad Alidoust , Chenghao Shen , Igor Zutic

The physics of a single Josephson junction coupled to a resistive environment is a long-standing fundamental problem at the center of an intense debate, strongly revived by the advent of superconducting platforms with high-impedance…

Quantum Physics · Physics 2025-04-22 Luca Giacomelli , Cristiano Ciuti

We consider a Josephson junction bilayer consisting of two tunnel-coupled two-dimensional electron gas layers with Rashba spin-orbit interaction, proximitized by a top and bottom $s$-wave superconductor with phase difference $\phi$ close to…

Mesoscale and Nanoscale Physics · Physics 2019-04-04 Yanick Volpez , Daniel Loss , Jelena Klinovaja