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Vortex matter in mesoscopic superconductors is known to be strongly affected by the geometry of the sample. Here we show that in nanoscale superconductors with coherence length comparable to the Fermi wavelength the shape resonances of the…

Superconductivity · Physics 2014-01-20 L. -F. Zhang , L. Covaci , M. V. Milošević , G . R. Berdiyorov , F. M. Peeters

On the basis of the Bogoliubov-de Gennes theory for the two-dimensional extended Hubbard model, the vortex structure in d-wave superconductors is investigated including the contribution of the induced incommensurate antiferromagnetism…

Superconductivity · Physics 2007-05-23 Mitsuaki Takigawa , Masanori Ichioka , Kazushige Machida

We study the effects of quantum interference in impurity structures consisting of two or three magnetic impurities that are located on the surface of an s-wave superconductor. By using a self-consistent Bogoliubov-de Gennes formalism, we…

Superconductivity · Physics 2009-11-11 Dirk K. Morr , Jaesung Yoon

We study the formation of vortices, vortex necklaces and vortex ring structures as a result of the interference of higher-dimensional Bose-Einstein condensates (BECs). This study is motivated by earlier theoretical results pertaining to the…

Soft Condensed Matter · Physics 2010-12-09 R. Carretero-Gonzalez , N. Whitaker , P. G. Kevrekidis , D. J. Frantzeskakis

Quantum vortices play an important role in the physics of two-dimensional quantum many-body systems, though they usually are understood in the single-particle framework like the mean-field approach. Inspired by the study on the relations…

Quantum Gases · Physics 2025-07-31 Mateusz Ślusarczyk , Krzysztof Pawłowski

The quasiparticle scattering interference (QSI) is intimately related to the nature of the quasiparticle and of its interplay with a variety of electronic orders and superconductivity. Here starting from the microscopic octet scattering…

Superconductivity · Physics 2024-10-31 Minghuan Zeng , Xiang Li , Yongjun Wang , Shiping Feng

Scanning tunneling experiments on single crystals of superconducting FeTe$_{0.55}$Se$_{0.45}$ have recently provided evidence for discrete energy levels inside vortices. Although predicted long ago, such levels are seldom resolved due to…

Superconductivity · Physics 2018-10-29 Christophe Berthod

It was recently proposed to use the stray magnetic fields of superconducting vortex lattices to trap ultracold atoms for building quantum emulators. This calls for new methods for engineering and manipulating of the vortex states. One of…

Superconductivity · Physics 2016-12-21 Qingyou Meng , Christopher N. Varney , Hans Fangohr , Egor Babaev

Focusing on a quantum-limit behavior, we study a single vortex in a clean s-wave type-II superconductor by self-consistently solving the Bogoliubov-de Gennes equation. The discrete energy levels of the vortex bound states in the quantum…

Superconductivity · Physics 2016-08-31 N. Hayashi , T. Isoshima , M. Ichioka , K. Machida

We study the magnon spectrum in a thin ferromagnetic-superconductor heterostructure in the presence of a single superconducting vortex. We employ the Bogolubov-de Gennes Hamiltonian which describes the magnons in the presence of the stray…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 D. S. Katkov , S. S. Apostoloff , I. S. Burmistrov

Curved magnets offer a rich phase diagram and hold great promise for next-generation spintronic technologies. This study establishes the paramount significance of high-order vortex states (e.g., 3$\varphi$ with winding number $n$ > 1) in…

Materials Science · Physics 2025-09-11 Jia-Wen Li , Xin-Wei Yi , Jin Zhang , Gang Su , Bo Gu

We study quantum vortex states consisting of a ring of vortices with alternating sign, in a homogeneous superfluid confined to a circular domain. We find an exact stationary solution of the point vortex model for the neutral vortex…

Quantum Gases · Physics 2021-02-03 M. M. Cawte , M. T. Reeves , A. S. Bradley

Quantized vortices stunningly illustrate the coherent nature of a superfluid Bose condensate of alkali atoms. Introducing an optical lattice depletes this coherence. Consequently, novel vortex physics may emerge in an experiment on a…

Other Condensed Matter · Physics 2008-07-24 Daniel S. Goldbaum , Erich J. Mueller

Recently, cold atoms mixtures have attracted broad interest due to their novel properties and exotic quantum effects with respect to single-component systems. In this paper the focus is on massive many-vortex states and their dynamics.…

Quantum Gases · Physics 2025-09-30 Alice Bellettini , Vittorio Penna

We show that in multiband superconductors even small interband proximity effect can lead to a qualitative change in the interaction potential between superconducting vortices by producing long-range intervortex attraction. This type of…

Superconductivity · Physics 2011-10-17 Egor Babaev , Johan Carlstrom , Martin Speight

We examine the vortex states in a 2D superconductor interacting with a square array of pinning sites. As a function of pinning size or strength we find a series of novel phases including multi-vortex and composite superlattice states such…

Superconductivity · Physics 2009-10-31 Charles Reichhardt , Niels Gronbech-Jensen

We consider interaction of vortices in the vector complex Ginzburg--Landau equation (CVGLE). In the limit of small field coupling, it is found analytically that the interaction between well-separated defects in two different fields is…

Superconductivity · Physics 2016-08-31 Igor S. Aranson , Len M. Pismen

We discuss the feasibility of quantum Hall states of vortices in trapped low-density two-dimensional Bose gases with large particle interactions. For interaction strengths larger than a critical dimensionless 2D coupling constant $g_c…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Uwe R. Fischer , Petr O. Fedichev , Alessio Recati

The vortex matter in bulk type-II superconductors serves as a prototype system for studying the random pinning problem in condensed matter physics. Since the vortex lattice is embedded in an atomic lattice, small angle neutron scattering…

Materials Science · Physics 2011-03-29 Xi Wang , Helen A. Hanson , Xinsheng Sean Ling , Charles F. Majkrzak , Brian B. Maranville

Magnetism in the FeAs stoichiometric compounds and its interplay with superconductivity in vortex states are studied by self-consistently solving the BdG equations based on a two-orbital model with including the on-site interactions between…

Superconductivity · Physics 2009-10-08 Hong-Min Jiang , Jian-Xin Li , Z. D. Wang