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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

We study the quantum phase transition properties of a three-dimensional periodic array of Josephson junctions with charging energy that includes both the self and mutual junction capacitances. We use the phase fluctuation algebra between…

Superconductivity · Physics 2016-08-31 T. K. Kopec , Jorge V. Jose

Nonlinear damping, the change in damping rate with the amplitude of oscillations plays an important role in many electrical, mechanical and even biological oscillators. In novel technologies such as carbon nanotubes, graphene membranes or…

In this paper we demonstrate that, if it exists, coherent quantum phase slip is the exact dual to Josephson tunneling. We use the duality to predict kinetic capacitance and a sharp resonance in narrow wires. Biased resistively and driven at…

Superconductivity · Physics 2007-05-23 J. E. Mooij , Yu. V. Nazarov

In a short superconducting nanowire connected to bulk superconducting leads, quantum phase slips behave as a system of linearly (as opposed to logarithmically) interacting charges. This system maps onto quantum mechanics of a particle in a…

Superconductivity · Physics 2008-09-10 S. Khlebnikov

We study the oscillatory flux dependence of the supercurrent in a thin superconducting loop, closed by a Josephson junction. Quantum fluctuations of the order parameter in the loop affect the shape and renormalize the amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 F. W. J. Hekking , L. I. Glazman

Fluxonium qubits are recognized for their high coherence times and high operation fidelities, attributed to their unique design incorporating a superinductor, which is typically implemented using an array of over 100 Josephson junctions.…

Abrikosov vortex contains magnetic field and circulating currents that decay at a short range $\lambda \sim 100$ nm. However, the vortex can induce a long range Josephson phase shift at distances $r\sim\mu$m$\gg\lambda$. The mechanism of…

Superconductivity · Physics 2019-11-20 T. Golod , A. Pagliero , V. M. Krasnov

The effect of thermal fluctuations in Josephson junctions is usually analysed using the Ambegaokar-Halperin (AH) theory in the context of thermal activation. "Enhanced" fluctuations, demonstrated by broadening of current-voltage…

Superconductivity · Physics 2014-10-15 Jian Wei , P. Cadden-Zimansky , P. Virtanen , V. Chandrasekhar

Josephson junctions (JJs) with Josephson energy $E_J \lesssim 1K$ are widely employed as non-linear elements in superconducting circuits for quantum computing, operating at milli-Kelvin temperatures. Here we experimentally study incoherent…

The effect of quantum fluctuations on the current-voltage characteristics of Josephson junctions and superconducting nanowires is studied in the underdamped limit. Quantum fluctuations induce transitions between a Coulomb--blockade and a…

Mesoscale and Nanoscale Physics · Physics 2008-08-21 A. Zazunov , N. Didier , F. W. J. Hekking

Superconducting vortices and phase slips are primary mechanisms of dissipation in superconducting, superfluid, and cold atom systems. While the dynamics of vortices is fairly well described, phase slips occurring in quasi-one dimensional…

Superconductivity · Physics 2017-06-01 Gregory Kimmel , Andreas Glatz , Igor S. Aranson

We consider the effect of spin-orbit coupling on the energy levels of a single-channel Josephson junction below the superconducting gap. We investigate quantitatively the level splitting arising from the combined effect of spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2008-01-14 B. Béri , J. H. Bardarson , C. W. J. Beenakker

The properties of one-dimensional superconductors are strongly influenced by topological fluctuations of the order parameter, known as phase slips, which cause the decay of persistent current in superconducting rings and the appearance of…

Superconductivity · Physics 2016-11-30 I. Petkovic , A. Lollo , L. I. Glazman , J. G. E. Harris

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…

We investigate the effect of interacting quantum phase slips on persistent current and its fluctuations in ultrathin superconducting nanowires and nanorings pierced by the external magnetic flux. We derive the effective action for these…

Mesoscale and Nanoscale Physics · Physics 2013-09-02 Andrew G. Semenov , Andrei D. Zaikin

The transmission of Cooper pairs between two weakly coupled superconductors produces a superfluid current and a phase difference; the celebrated Josephson effect. Because of time-reversal and parity symmetries, there is no Josephson current…

The effects of the charging energy in the superconducting transition of granular materials or Josephson junction arrays is investigated using a pseudospin one model. Within a mean-field renormalization-group approach, we obtain the phase…

Condensed Matter · Physics 2009-10-22 E. Granato , M. A. Continentino

Quantum phase slips (QPS) may produce non-equilibrium voltage fluctuations in current-biased superconducting nanowires. Making use of the Keldysh technique and employing the phase-charge duality arguments we investigate such fluctuations…

Superconductivity · Physics 2017-05-11 Andrew G. Semenov , Andrei D. Zaikin

The simultaneous suppression of charge fluctuations and offsets is crucial for preserving quantum coherence in devices exploiting large quantum fluctuations of the superconducting phase. This requires an environment with both extremely low…

Superconductivity · Physics 2012-10-11 Nicholas A. Masluk , Ioan M. Pop , Archana Kamal , Zlatko K. Minev , Michel H. Devoret