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The present paper is an extension of 'cond-mat/0312673'. The construction of a hybrid discrete-continuous model of layered superconductors is presented. The model bases on the classic Lawrence-Doniach scenario with admitting, however,…

Superconductivity · Physics 2007-05-23 M. Sztyren

A hybrid discrete-continuous model of layered superconductors with interlayer Josephson couplings of arbitrary range is constructed. The conditions required by gauge invariance and thermodynamical stability of the model are determined. Some…

Superconductivity · Physics 2007-05-23 M. Sztyren

A general phenomenological theory describing dynamics of Josephson vortices coupled to wide class of linear waves in layered high-T$_c$ superconductors is developed. The theory is based on hydrodynamic long wave approximation and describes…

Superconductivity · Physics 2010-01-05 A. V. Chiginev , V. V. Kurin

The coupling of Josephson oscillations in layered superconductors is studied with help of a tunneling Hamiltonian formalism. The general form of the current density across the barriers between the superconducting layers is derived. The…

Superconductivity · Physics 2015-06-25 Ch. Preis , Ch. Helm , J. Keller , A. Sergeev , R. Kleiner

We consider a Josephson bijunction consisting of three superconducting reservoirs connected through two quantum dots. In equilibrium, the interdot coupling is sizable only for distances smaller than the superconducting coherence length.…

Mesoscale and Nanoscale Physics · Physics 2023-12-04 Andriani Keliri , Benoît Douçot

We consider the Lawrence-Doniach model for layered superconductors, in which stacks of parallel superconducting planes are coupled via the Josephson effect. We assume that the superconductor is placed in an external magnetic field oriented…

Analysis of PDEs · Mathematics 2007-05-23 S. Alama , A. J. Berlinsky , L. Bronsard

Lieb-Robinson-type bounds are reported for a large class of classical Hamiltonian lattice models. By a suitable rescaling of energy or time, such bounds can be constructed for interactions of arbitrarily long range. The bound quantifies the…

Statistical Mechanics · Physics 2014-05-30 David Métivier , Romain Bachelard , Michael Kastner

We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on ($d > 1$)-dimensional hypercubic lattices. Analytical expressions for the ground-state phase…

Strongly Correlated Electrons · Physics 2015-05-13 M. Iskin , J. K. Freericks

It is shown that the Josephson subsystem of the Lawrence-Doniach model of layered superconductors in the London approximation can be presented as a system with variable number of classical Coulomb particles. This allows us to consider the…

Superconductivity · Physics 2007-11-08 A. N. Artemov

We consider dynamics of Josephson vortex lattice in layered superconductors with magnetic, charge (electrostatic) and charge-imbalance (quasiparticle) interactions between interlayer Josephson junctions taken into account. The macroscopic…

Superconductivity · Physics 2009-11-07 D. A. Ryndyk , V. I. Pozdnjakova , I. A. Shereshevskii , N. K. Vdovicheva

We derive an expression for the effective Josephson coupling from the microscopic Hubbard model. It serves as a starting point for the description of phase fluctuations of local Cooper pairs in $d_{x^2-y^2}$-wave superconductors in the…

Strongly Correlated Electrons · Physics 2019-07-24 Malte Harland , Sergey Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

For the first time, we obtain the complete and exact analytical solution of the Lawrence-Doniach model for layered superconductors in external parallel magnetic fields. By solving a nontrivial mathematical problem of exact minimization of…

Superconductivity · Physics 2007-05-23 Sergey V. Kuplevakhsky

We propose a highly speculative phenomenological framework in which nuclear detonations and high-energy collisions serve as probes for hidden sectors with effective superluminal propagation. Motivated by analogies between acoustic and…

High Energy Physics - Phenomenology · Physics 2025-12-01 Karl Svozil

We investigate the existence of topological phases in a dense two-dimensional atomic lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a non-trivial coherent long-range exchange interaction whose…

Quantum Physics · Physics 2017-10-18 Robert J. Bettles , Jiří Minář , Igor Lesanovsky , Charles S. Adams , Beatriz Olmos

Multi-layered Josephson junctions are modeled in the context of a field theory, and dynamics of Josephson vortices trapped inside insulators are studied. Starting from a theory consisting of complex and real scalar fields coupled to a U(1)…

Superconductivity · Physics 2016-10-05 Toshiaki Fujimori , Hideaki Iida , Muneto Nitta

The interaction of an edge dislocation made of half the superconducting plane with a magnetic interlayer vortex is considered within the framework of the Lawrence-Doniach model with negative as well as positive Josephson interlayer…

Condensed Matter · Physics 2016-08-31 A. B. Kuklov , A. Krakovsky , Joseph L Birman

In close analogy to quantum electrodynamics, we derive a quantum field theory of Josephson plasma waves (JPWs) in layered superconductors (LSCs), which describes two types of interacting JPW bosonic quanta: one massive and the other…

Superconductivity · Physics 2007-05-23 Sergey Savel'ev , A. L. Rakhmanov , Franco Nori

Charge formations on superconducting layers and creation of the longitudinal plasma wave in the stack of intrinsic Josephson junctions change crucially the superconducting current through the stack. Investigation of the correlations of…

Superconductivity · Physics 2009-04-22 Yu. M. Shukrinov , M. Hamdipour , M. R. Kolahchi

Many superconducting materials are composed of weakly coupled conducting layers. Such a layered structure has a very strong influence on the properties of vortex matter in a magnetic field. This review focuses on the properties of the…

Superconductivity · Physics 2013-09-04 Alexei E. Koshelev , Matthew J. W. Dodgson

In the context of hybrid superconductor-semiconductor systems, Josephson junctions based on two-dimensional materials, such as graphene, offer promising opportunities because of their scalability and gate-tunable electronic properties. In…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 V. Varrica , G. Falci , E. Paladino , F. M. D. Pellegrino
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