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The hyperspherical adiabatic expansion method is used to describe correlations in a symmetric boson system rigorously confined to two spatial dimensions. The hyperangular eigenvalue equation turns out to be almost independent of the…

Soft Condensed Matter · Physics 2009-11-10 Han Guangze , O. Sørensen , A. S. Jensen , D. V. Fedorov

We report on a novel mechanism of BCS-like superconductivity, mediated by a pair of Bogoliubov quasiparticles (bogolons). It takes place in hybrid systems consisting of a two-dimensional electron gas in a transition metal dichalcogenide…

Superconductivity · Physics 2021-06-16 Meng Sun , A. Parafilo , K. H. A. Villegas , V. M. Kovalev , I. G. Savenko

We investigate $s$-wave superconductivity in negatively curved geometries, focusing on Cayley trees and the hyperbolic plane. Using a self-consistent Bogoliubov-de Gennes approach for trees and a BCS treatment of the hyperbolic continuum,…

Superconductivity · Physics 2025-10-31 Mykhailo Pavliuk , Tomáš Bzdušek , Askar Iliasov

We use two truly canonical approaches to describe superconductivity in ultrasmall metallic grains: (a) a variational fixed-N projected BCS-like theory and (b) an exact solution of the model Hamiltonian developed by Richardson in context…

Superconductivity · Physics 2007-05-23 Fabian Braun , Jan von Delft

We study the sodium-iridates model on the honeycomb lattice with both BCS pairing potential and Hubbard interaction term. It is shown that this model can be exactly solved with appropriate choices of amplitude of pairing gaps, where the…

Strongly Correlated Electrons · Physics 2020-10-06 Shihao Bi , Yan He , Peng Li

We study s-wave superconductivity in the two dimensional attractive Hubbard model in an applied magnetic field, assume the extreme Pauli limit, and examine the role of spatial fluctuations in the coupling regime corresponding to BCS-BEC…

Quantum Gases · Physics 2016-05-26 Madhuparna Karmakar , Pinaki Majumdar

Modern experimental platforms such as supercoducting-circuit arrays call for the exploration of bosonic tight-binding models in unconventional situations with no counterpart in real materials. Here we investigate one of such situations, in…

Quantum Gases · Physics 2020-09-16 Zijian Wang , Carlos Navarrete-Benlloch , Zi Cai

In the preceding papers the present author gave another proof of the existence and uniqueness of the solution to the BCS-Bogoliubov gap equation for superconductivity from the viewpoint of operator theory, and showed that the solution is…

Mathematical Physics · Physics 2021-09-10 Shuji Watanabe

We consider the one-dimensional Schroedinger equation on a ring, with the cubic term, of either self-attractive or repulsive sign, confined to a narrow segment. This setting can be realized in optics and Bose-Einstein condensates. For the…

Optics · Physics 2018-11-14 Elad Shamriz , Boris A. Malomed

We study superconductivity in an ultracold Bose-Fermi mixture loaded into a square optical lattice subjected to a staggered flux. While the bosons form a superfluid at very low temperature and weak interaction, the interacting fermions…

Quantum Gases · Physics 2010-07-15 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

We present a systematic study of the response properties of two-band (multi-gap) superconductors with spin-singlet (s-wave) pairing correlations, which are assumed to be caused by both intraband (\lambda_{ii}, i=1,2) and interband…

Superconductivity · Physics 2014-06-24 Nikolaj Bittner , Dietrich Einzel

Based on a phenomenological model with $s_{\pm}$ or s-wave pairing symmetry, the mixed-state effect on quasiparticle interference in iron-based superconductors is investigated by solving large-scale Bogoliubov-de Gennes equations based on…

Superconductivity · Physics 2015-06-05 Yi Gao , Huaixiang Huang , Peiqing Tong

We consider a model for a one-dimensional quantum wire with Rashba spin-orbit coupling and repulsive interactions, proximity coupled to a conventional s-wave superconductor. Using a combination of Hartree-Fock and density matrix…

Mesoscale and Nanoscale Physics · Physics 2015-04-30 Arbel Haim , Anna Keselman , Erez Berg , Yuval Oreg

Inhomogeneity is introduced through random local interactions (Ui) in an attractive Hubbard model on a square lattice and studied using mean-field Bogoliubov-de Gennes formalism. Superconductivity is found to get suppressed by the random Ui…

Superconductivity · Physics 2009-11-13 Budhaditya Chatterjee , A. Taraphder

We review recent experimental and theoretical work on superconductivity in ultrasmall metallic grains, i.e. grains sufficiently small that the conduction electron energy spectrum becomes discrete. The discrete excitation spectrum of an…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Jan von Delft

Superconductors involving electrons with internal degrees of freedom beyond spin can have internally anisotropic pairing states that are impossible in single-band superconductors. As a case in point, in even-parity multiband superconductors…

Superconductivity · Physics 2020-01-09 Clara J. Lapp , Georg Börner , Carsten Timm

Recently a new phenomenological Hamiltonian has been proposed to describe the superconducting cuprates. This so-called Gossamer Hamiltonian is an apt model for a superconductor with strong on-site Coulomb repulsion betweenthe electrons. It…

Superconductivity · Physics 2009-11-10 Bogdan A. Bernevig , Robert B. Laughlin , David I. Santiago

Motivated by a scarcity of simple and analytically tractable models of superconductivity from strong repulsive interactions, we introduce a simple tight-binding lattice model of fermions with repulsive interactions that exhibits…

Superconductivity · Physics 2019-02-12 Kevin Slagle , Yong Baek Kim

We have reexamined the problem of disorder in two-band superconductors, and shown within the framework of the T-matrix approximation, that the suppression of T_c can be described by a single parameter depending on the intraband and…

Superconductivity · Physics 2015-03-19 D. V. Efremov , M. M. Korshunov , O. V. Dolgov , A. A. Golubov , P. J. Hirschfeld