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I describe the magnetic-field and current-density distributions generated by two-dimensional (2D) pancake vortices in infinite, semi-infinite, and finite-thickness stacks of Josephson-decoupled superconducting layers. Arrays of such…

Superconductivity · Physics 2010-08-31 John R. Clem

In strongly anisotropic layered superconductors in tilted magnetic fields the Josephson vortex lattice coexists with the lattice of pancake vortices. Due to the interaction between them, the dissipation of the Josephson-vortex lattice…

Superconductivity · Physics 2011-08-29 A. E. Koshelev , A. I. Buzdin , I. Kakeya , T. Yamamoto , K. Kadowaki

We study vortex matter in layered superconductors in the limit of zero Josephson coupling. The long range of the interaction between pancake vortices in the c-direction allows us to employ a mean-field method: all attractive inter-layer…

Superconductivity · Physics 2009-11-07 Hans Fangohr , Alexei E. Koshelev , Matthew J. W. Dodgson

In this pedagogical review, we discuss how electrical resistance can arise in superconductors. Starting with the idea of the superconducting order parameter as a condensate wave function, we introduce vortices as topological excitations…

Superconductivity · Physics 2016-12-21 Bertrand I. Halperin , Gil Refael , Eugene Demler

The Josephson-plasma and vortex modes in layered superconductors have been studied theoretically for low magnetic fields parallel and perpendicular to layers. The two modes belong to the same lowest-frequency branch of collective-mode…

Superconductivity · Physics 2009-10-31 E. B. Sonin

Topological defects such as vortices, dislocations or domain walls define many important effects in superconductivity, superfluidity, magnetism, liquid crystals, and plasticity of solids. Here we address the breakdown of the…

Superconductivity · Physics 2015-12-31 Ahmad Sheikhzada , Alex Gurevich

In very anisotropic layered superconductors a tilted magnetic field generates crossing vortex lattices of pancake and Josephson vortices (JVs). We study the properties of an isolated JV in the lattice of pancake vortices. JV induces…

Condensed Matter · Physics 2009-11-10 Alexei E. Koshelev

High-T_c superconductors in small magnetic fields directed away from the crystal symmetry axes have been found to exhibit inhomogeneous chains of flux lines (vortices), in contrast to the usual regular triangular flux-line lattice. We…

Superconductivity · Physics 2009-11-11 Simon J. Bending , Matthew J. W. Dodgson

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

We study a 3D model of driven vortices in weakly coupled layered superconductors with strong pinning. Above the critical force $F_c$, we find a plastic flow regime in which pancakes in different layers are uncoupled, corresponding to a…

Superconductivity · Physics 2007-05-23 A. B. Kolton , D. Dominguez , C. J. Olson , N. Gronbech-Jensen

We study the effects of an $ab$-surface on the vortex-solid to vortex-liquid transition in layered superconductors in the limit of vanishing inter-layer Josephson coupling. We derive the interaction between pancake vortices in a…

Superconductivity · Physics 2009-11-11 A. De Col , G. I. Menon , V. B. Geshkenbein , G. Blatter

In superconductors, the search for special vortex states such as giant vortices focuses on laterally confined or nanopatterned thin superconducting films, disks, rings, or polygons. We examine the possibility to realize giant vortex states…

Superconductivity · Physics 2008-03-06 V. N. Gladilin , J. Tempere , I. F. Silvera , J. T. Devreese , V. V. Moshchalkov

We investigate vortex structure and melting transition in very anisotropic layered superconductors at fields tilted with respect to the c-axis. We show that even a small in-plane field does not homogeneously tilt the vortex lattice but,…

Superconductivity · Physics 2009-10-31 A. E. Koshelev

We theoretically study Josephson vortex structures in Josephson junctions which have multiple tunneling channels caused by multiple superconducting gaps. Deriving "coupled sine-Gordon equations" from the free-energy taking account of the…

Superconductivity · Physics 2010-01-06 Yukihiro Ota , Masahiko Machida , Tomio Koyama , Hideki Matsumoto

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

The pre-melting of high vortex density planes observed recently in layered superconductors in tilted magnetic field is explained theoretically. Based on the structural information of the crossing lattices of pancake and Josephson vortices…

Superconductivity · Physics 2015-06-15 S. Butsch , E. Zeldov , T. Nattermann

Recent experimental advances have unveiled promising evidence of vortex-bound Majorana quasiparticles in multiple superconducting compounds. However, theoretical progress in understanding these phenomena, especially from ab initio…

Superconductivity · Physics 2025-04-10 Zhuo Chen , Jiangxu Li , Lun-Hui Hu , Zhen Bi , Rui-Xing Zhang

The mixed phase of layered superconductors with no magnetic screening is studied through a partial duality analysis of the corresponding frustrated XY model in the presence of random columnar pins. A small fraction of pinned vortex lines is…

Superconductivity · Physics 2009-11-10 J. P. Rodriguez

The mixed phase of layered superconductors with no magnetic screening is studied through a partial duality analysis of the corresponding XY model in the presence of random pinning centers. Sufficiently weak Josephson coupling between…

Superconductivity · Physics 2009-11-10 J. P. Rodriguez

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
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