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Motivated by the recent proposals for unconventional emergent physics in twisted bilayers of nodal superconductors, we study the peculiarities of the Josephson effect at the twisted interface between $d$-wave superconductors. We demonstrate…

Superconductivity · Physics 2025-01-31 Pavel A. Volkov , Shu Yang Frank Zhao , Nicola Poccia , Xiaomeng Cui , Philip Kim , J. H. Pixley

We consider the problem of two capacitively coupled Josephson junction arrays made of ultrasmall junctions. Each one of the arrays can be in the semiclassical or quantum regimes, depending on their physical parameter values. The former case…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jorge V. José

A quantum system can undergo a continuous phase transition at the absolute zero of temperature as some parameter entering its Hamiltonian is varied. These transitions are particularly interesting for, in contrast to their classical finite…

Condensed Matter · Physics 2009-10-28 S. L. Sondhi , S. M. Girvin , J. P. Carini , D. Shahar

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

We study the zero-temperature phase diagram of a dissipationless and disorder-free Josephson junction chain. Namely, we determine the critical Josephson energy below which the chain becomes insulating, as a function of the ratio of two…

Mesoscale and Nanoscale Physics · Physics 2020-01-30 D. M. Basko , F. Pfeiffer , P. Adamus , M. Holzmann , F. W. J. Hekking

We study the superconductor-insulator quantum phase transition in disordered Josephson junction chains. To this end, we derive the field theory from the lattice model that describes a chain of superconducting islands with a capacitive…

Superconductivity · Physics 2017-10-30 M. Bard , I. V. Protopopov , I. V. Gornyi , A. Shnirman , A. D. Mirlin

The exotic nature of many strongly correlated materials at reasonably high temperatures, for instance cuprate superconductors in their normal state, has lead to the suggestion that such behavior occurs within a quantum critical region where…

Strongly Correlated Electrons · Physics 2007-11-30 Claudio Castelnovo , Claudio Chamon , Christopher Mudry , Pierre Pujol , .

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

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…

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

Superconductivity · Physics 2007-09-19 N. Shah , A. V. Lopatin

Near a quantum critical point (QCP) in a metal, strong Fermion-Fermion interactions mediated by soft collective bosons give rise to two competing phenomena: non-Fermi liquid behavior and superconductivity that deviates from conventional BCS…

Superconductivity · Physics 2025-12-24 Ahmed Elezaby , Artem Abanov

We report voltage-tuned phase transitions in arrays of hybrid semiconductor-superconductor islands arranged in a square lattice. A double-layer electrostatic gate geometry enables independent tuning of inter-island coupling and…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 S. Sasmal , M. Efthymiou-Tsironi , G. Nagda , E. Fugl , L. L. Olsen , F. Krizek , C. M. Marcus , S. Vaitiekėnas

The interfacial coupling of two materials with different ordered phases, such as a superconductor (S) and a ferromagnet (F) is driving new fundamental physics and innovative applications. For example, the creation of spin-filter Josephson…

Superconductivity · Physics 2015-06-29 D. Massarotti , A. Pal , G. Rotoli , L. Longobardi , M. G. Blamire , F. Tafuri

The phase diagram of two dimensional Josephson arrays is studied by means of the mapping to the quantum XY model. The quantum effects onto the thermodynamics of the system can be evaluated with quantitative accuracy by a semiclassical…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

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

Josephson junction arrays are ideal model systems where a variety of phenomena, phase transitions, frustration effects, vortex dynamics, chaos, to mention a few of them, can be studied in a controlled way. In this review we focus on the…

Condensed Matter · Physics 2009-10-31 Rosario Fazio , Herre van der Zant

We demonstrate the role of proximity effect in the thermal hysteresis of superconducting constrictions. From the analysis of successive thermal instabilities in the transport characteristics of micron-size superconducting quantum…

Superconductivity · Physics 2015-06-05 Nikhil Kumar , T. Fournier , H. Courtois , C. B. Winkelmann , Anjan K. Gupta

We have studied the magnetic-field-driven quantum phase transitions in Josephson junction arrays with a large coordination number. The characteristic energies were extracted in both the superconducting and insulating phases by integrating…

Disordered Systems and Neural Networks · Physics 2012-01-04 J. Paramanandam , M. T. Bell , L. B. Ioffe , M. E. Gershenson

Despite intense efforts during the last 25 years, the physics of unconventional superconductors, including the cuprates with a very high transition temperature, is still a controversial subject. It is believed that superconductivity in many…

Strongly Correlated Electrons · Physics 2011-11-01 Jian-Huang She , Bas J. Overbosch , Ya-Wen Sun , Yan Liu , Koenraad Schalm , John A. Mydosh , Jan Zaanen

Macroscopic quantum phase coherence has one of its pivotal expressions in the Josephson effect [1], which manifests itself both in charge [2] and energy transport [3-5]. The ability to master the amount of heat transferred through two…

Mesoscale and Nanoscale Physics · Physics 2016-03-10 Antonio Fornieri , Christophe Blanc , Riccardo Bosisio , Sophie D'Ambrosio , Francesco Giazotto