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The $4\pi$ Josephson Effect is a distinguishing feature of a topological Josephson junction. However, stringent conditions make it hard to observe in experiments. Here we numerically study the transient transport properties in a topological…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Dihao Sun , Jie Liu

Half a century after its discovery, the Josephson junction has become the most important nonlinear quantum electronic component at our disposal. It has helped reshape the SI system around quantum effects and is used in scores of quantum…

A model system consisting of a mesoscopic superconducting grain coupled by Josephson junctions to two macroscopic superconducting electrodes is studied. We focus on the effects of ohmic dissipation caused by resistive shunts and…

Superconductivity · Physics 2009-11-10 Gil Refael , Eugene Demler , Yuval Oreg , Daniel S. Fisher

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

At zero temperature, a Josephson junction coupled to an ohmic environment displays a quantum phase transition between superconducting and insulating phases, depending whether the resistance of the environment is below or above the…

Superconductivity · Physics 2024-03-21 Tsuyoshi Yamamoto , Leonid I. Glazman , Manuel Houzet

An array of resistively and capacitively shunted Josephson junctions with nonsinusoidal current-phase relation is considered for modelling the transition in high-T$_c$ superconductors. The emergence of higher harmonics, besides the simple…

Superconductivity · Physics 2011-01-04 A. Carbone , M. Gilli , P. Mazzetti , L. Ponta

Topological Josephson junctions carry 4pi-periodic bound states. A finite bias applied to the junction limits the lifetime of the bound state by dynamically coupling it to the continuum. Another characteristic time scale, the phase…

Superconductivity · Physics 2015-06-15 Manuel Houzet , Julia S. Meyer , Driss M. Badiane , Leonid I. Glazman

We investigate theoretical aspects of the detection of Majorana bound states in Josephson junctions using the semiclassical RCSJ model of junction dynamics. The influence of a 4$\pi$-periodic supercurrent contribution can be detected…

Mesoscale and Nanoscale Physics · Physics 2017-10-06 Jordi Picó-Cortés , Fernando Domínguez , Gloria Platero

By using analytical and Worldline Monte Carlo approaches, we investigate the effects induced by quantum phase fluctuations combined with quasiparticle subgap and shunt resistances on a small-capacitance Josephson junction. By using the…

A semiconducting nanowire proximitized by an $s$-wave superconductor can be tuned into a topological state by an applied magnetic field. This quantum phase transition is marked by the emergence of Majorana zero modes at the ends of the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Chaitanya Murthy , Vladislav D. Kurilovich , Pavel D. Kurilovich , Bernard van Heck , Leonid I. Glazman , Chetan Nayak

A prominent signature of Majorana bound states is the exotic Josephson effects they produce, the classic example being a fractional Josephson current with 4\pi periodicity in the phase difference across the junction. Recent work established…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Falko Pientka , Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

Despite extensive experimental and theoretical work over several decades, Schmid-Bulgadaev quantum phase transition remains a subject of debate. Here we revisit this problem by performing systematic experiments on low-frequency…

Superconductivity · Physics 2026-03-24 Diego Subero , Yu-Cheng Chang , Miguel Monteiro , Ze-Yan Chen , Jukka P. Pekola

Schmid predicted that a single Josephson junction coupled to a resistive environment undergoes a quantum phase transition to an insulating phase when the shunt resistance $R$ exceeds the resistance quantum $h/(4 e^ 2)$. Recent measurements…

Strongly Correlated Electrons · Physics 2025-03-28 Nicolas Paris , Luca Giacomelli , Romain Daviet , Cristiano Ciuti , Nicolas Dupuis , Christophe Mora

We investigate the Josephson effect in one triple-terminal junction with embedded parallel-coupled double quantum dots. It is found that the inter-superconductor supercurrent has opportunities to oscillate in $4\pi$ period, with the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Guang-Yu Yi , Xiao-Qi Wang , Zhen Gao , Hai-Na Wu , Wei-Jiang Gong

The Josephson effect describes the generic appearance of a supercurrent in a weak link between two superconductors. Its exact physical nature however deeply influences the properties of the supercurrent. Detailed studies of Josephson…

Topological features of low dimensional superconductors have caused a lot of excitement recently because of their broad range of applications in quantum information and their potential to reveal novel phases of quantum matter. A potential…

Superconductivity · Physics 2015-06-18 Paul Matthews , Pedro Ribeiro , Antonio M. García-García

Two superconductors coupled by a weak link support an equilibrium Josephson electrical current which depends on the phase difference $\varphi$ between the superconducting condensates [1]. Yet, when a temperature gradient is imposed across…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Antonio Fornieri , Giuliano Timossi , Pauli Virtanen , Paolo Solinas , Francesco Giazotto

The Josephson junction is a building block of quantum circuits. Its behavior, well understood when treated as an isolated entity, is strongly affected by coupling to an electromagnetic environment. In 1983, Schmid predicted that a Josephson…

Dissipative quantum phase transition has been widely believed to occur in a Josephson junction coupled to a resistor despite a lack of concrete experimental evidence. Here, on the basis of both numerical and analytical nonperturbative…

Mesoscale and Nanoscale Physics · Physics 2022-08-19 Kanta Masuki , Hiroyuki Sudo , Masaki Oshikawa , Yuto Ashida

We investigate theoretically the dynamics of a Josephson junction in the framework of the RSJ model. We consider a junction that hosts two supercurrrent contributions: a $2\pi$- and a $4\pi$-periodic in phase, with intensities $I_{2\pi}$…

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