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We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

Using the path integral approach, we provide an explicit derivation of the equation for the phase boundary for quantum Josephson junction arrays with offset charges and non-diagonal capacitance matrix. For the model with nearest neighbor…

Superconductivity · Physics 2009-10-31 G. Grignani , A. Mattoni , P. Sodano , A. Trombettoni

Quantum interference effects and resulting quantum corrections of the conductivity have been intensively studied in disordered conductors over the last decades. The knowledge of phase coherence lengths and underlying dephasing mechanisms…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. Neumaier , K. Wagner , U. Wurstbauer , M. Reinwald , W. Wegscheider , D. Weiss

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

The subgap conductivity of a normal-superconductor (NS) tunnel junction is thought to be due to tunneling of two electrons. There is a strong interference between these two electrons, originating from the spatial phase coherence in the…

Condensed Matter · Physics 2009-10-22 F. W. J. Hekking , Yu. V. Nazarov

Josephson weak links made of two-dimensional topological insulators (TIs) exhibit magnetic oscillations of the supercurrent that are reminiscent of those in superconducting quantum interference devices (SQUIDs). We propose a microscopic…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 G. Tkachov , P. Burset , B. Trauzettel , E. M. Hankiewicz

We identify the different contributions to quantum interference in a mesoscopic metallic loop in contact with two superconducting electrodes. At low temperature, a flux-modulated Josephson coupling is observed with strong damping over the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 H. Courtois , Ph. Gandit , D. Mailly , B. Pannetier

We consider interacting vortices in a quasi-one-dimensional array of Josephson junctions with small capacitance. If the charging energy of a junction is of the order of the Josephson energy, the fluctuations of the superconducting order…

Superconductivity · Physics 2009-10-31 C. Bruder , L. I. Glazman , A. I. Larkin , J. E. Mooij , A. van Oudenaarden

We study resonant tunneling through a periodic square array of quantum dots sandwiched between modulation-doped quantum wells. If a magnetic field is applied parallel to the quantum dot plane, the tunneling current exhibits a highly complex…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 L. S. Petrosyan , T. V. Shahbazyan

Detecting the phases of the superconducting order parameter is pivotal for unraveling the pairing symmetry of superconducting electrons. Conventional methods for probing these phases have focused on macroscopic interference effects, such as…

Superconductivity · Physics 2025-06-02 Bo Zhan , Qiang Gao , Runze Chi , Yiwen Chen , Lin Zhao , Dingshun Lv , Xingjiang Zhou , Tao Xiang

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

We present results from an extensive analytic and numerical study of a two-dimensional model of a square array of ultrasmall Josephson junctions. We include the ultrasmall self and mutual capacitances of the junctions, for the same…

Superconductivity · Physics 2016-08-15 Cristian Rojas , Jorge V. José

We propose novel model system for the studies of superconductor-insulator transitions, which is a regular lattice, whose each link consists of Josephson-junction chain of $N \gg 1$ junctions in sequence. The theory of such an array is…

Superconductivity · Physics 2022-06-01 I. V. Protopopov , M. V. Feigel'man

Josephson junctions, as pivotal components of modern technologies such as superconducting quantum computing, owe their prominence to their unique nonlinear properties at low temperatures. Despite their extensive use in static…

Superconductivity · Physics 2025-01-06 Sajjad Taravati

Quantum interference is investigated within the complex quantum Hamilton-Jacobi formalism. As shown in a previous work [Phys. Rev. Lett. 102, 250401 (2009)], complex quantum trajectories display helical wrapping around stagnation tubes and…

Quantum Physics · Physics 2010-09-09 Chia-Chun Chou , Angel S. Sanz , Salvador Miret-Artes , Robert E. Wyatt

The magneto-electrostatic tailoring of the supercurrent in quantum point contact ballistic Josephson junctions is demonstrated. An etched InAs-based heterostructure is laterally contacted to superconducting niobium leads and the existence…

Mesoscale and Nanoscale Physics · Physics 2013-04-09 M. Amado , A. Fornieri , F. Carillo , G. Biasiol , L. Sorba , V. Pellegrini , F. Giazotto

Even in the absence of Coulomb interactions phase fluctuations induced by quantum size effects become increasingly important in superconducting nano-structures as the mean level spacing becomes comparable with the bulk superconducting gap.…

Superconductivity · Physics 2014-03-05 Pedro Ribeiro , Antonio M. García-García

Theoretically, Josephson junction (JJ) arrays can exhibit either a superconducting or insulating state, separated by a quantum phase transition (QPT). In this work, we analyzed published data on QPTs in three one-dimensional arrays and two…

Superconductivity · Physics 2024-11-12 Samuel Feldman , Andrey Rogachev

Quantum interference phenomena in superconductors, such as Josephson interference and Little-Parks oscillations, serve as powerful probes of phase coherence, symmetry breaking and vortex dynamics. However, they are typically observed in…

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