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We revisit the stability of the superconducting state within mean-field theory in the presence of repulsive pairing interactions, focusing on multiband systems where such channels naturally arise. We show that, when repulsion is present,…

Superconductivity · Physics 2025-10-21 Laura Fanfarillo , Yifu Cao , Chandan Setty , Sergio Caprara , Peter J. Hirschfeld

The Bogoliubov approach to superconductivity provides a strong mathematical support to the wave function ansatz proposed by Bardeen, Cooper and Schrieffer (BCS). Indeed, this ansatz --- with all pairs condensed into the same state ---…

Superconductivity · Physics 2015-06-03 M. Combescot , W. V. Pogosov , O. Betbeder-Matibet

We extend a recent billiard model of the nuclear N-body Hamiltonian to consider a finite two-body interaction. This permits a treatment of the Hamiltonian by a mean field theory, and also allows the possibility to model reactions between…

Nuclear Theory · Physics 2009-10-31 George F. Bertsch , Thomas Papenbrock , Sanjay Reddy

In this article we study superconductor-insulator transitions within the general framework of an attractive Hubbard model. This is a well-defined model of s-wave superconductivity which permits different tuning parameters (disorder and…

Superconductivity · Physics 2013-09-19 Yen Lee Loh , Nandini Trivedi

We use the two dimensional extended Hubbard Hamiltonian with the position of the attractive potential as a variable parameter with a BCS type approach to study the interplay between the superconductor transition temperature $T_c$ and hole…

Superconductivity · Physics 2007-05-23 E. V. L. de Mello

The finite-temperature phase diagram of the attractive Hubbard model is studied by means of the Dynamical Mean Field Theory. We first consider the normal phase of the model by explicitly frustrating the superconducting ordering. In this…

Superconductivity · Physics 2007-08-07 A. Toschi , P. Barone , M. Capone , C. Castellani

We use the variational cluster approximation to study the superconducting ground state in the two-dimensional attractive Hubbard model, putting particular emphasis on the significance of quantum fluctuations of the system. We first show…

Strongly Correlated Electrons · Physics 2014-01-22 Tatsuya Kaneko , Yukinori Ohta

We consider a BCS-type model in the spin formalism and argue that the structure of the interaction provides a mechanism for control over directions of the spin $\vect S$ other than $S_z$, which is being controlled via the conventional…

High Energy Physics - Theory · Physics 2007-06-13 Nevena Ilieva , Walter Thirring

We develop a finite temperature mean field theory in the path integral picture for an extremely dilute system of interacting Fermions in a plane. In the limit of short ranged interactions, the system is shown to undergo a phase transition…

Strongly Correlated Electrons · Physics 2007-05-23 A. Agarwal , S. G. Rajeev

We perform a renormalized mean-field study of the two-dimensional repulsive Hubbard model, focusing on the intricate interplay and possible coexistence of magnetic, charge, and superconducting orders. We improve on conventional mean-field…

Strongly Correlated Electrons · Physics 2026-02-24 Robin Scholle , Pietro M. Bonetti , Walter Metzner , Demetrio Vilardi

We discuss metastable states in the mean-field version of the strong coupling BCS-model and study the evolution of a superconducting equilibrium state subjected to a dynamical semi-group with Lindblad generator in detailed balance w.r.t.…

Mathematical Physics · Physics 2009-11-07 Joris Lauwers , Andre Verbeure

As a signature of competing correlations, stripes occur in a variety of strongly correlated systems, such as high temperature superconductors (SCs) and quantum Hall effect. We study a double layer SC in the presence of a parallel magnetic…

Superconductivity · Physics 2024-08-02 Uddalok Nag , Jonathan Schirmer , Enrico Rossi , C. -X. Liu , J. K. Jain

A new investigation of the coexistence and competition of ferroelectricity and superconductivity is reported. In particular we show that the starting Hamiltonian of a previous study by Birman and Weger (2001) can be exactly diagonalized.…

Superconductivity · Physics 2013-08-30 Y. Krivolapov , A. Mann , Joseph L. Birman

We present the analysis of paramagnetic effects of magnetic field ($B$) (Zeeman term) in the zero-bandwidth limit of the extended Hubbard model for arbitrary chemical potential $\mu$ and electron density $n$. The effective Hamiltonian…

Strongly Correlated Electrons · Physics 2014-12-09 Konrad Jerzy Kapcia

We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yields the phase diagram of the homogeneous extended…

Quantum Gases · Physics 2012-02-01 Jamshid Moradi Kurdestany , Ramesh V. Pai , Rahul Pandit

We use a combination of numeric and analytic techniques to determine the groun d state phase diagram of the Bose--Hubbard Hamiltonian with longer range repulsi ve interactions. At half filling one finds superfluidity and an insulating solid…

Condensed Matter · Physics 2009-10-22 G. G. Batrouni , R. T. Scalettar , G. T. Zimanyi , A. P. Kampf

We study the competition between a Pomeranchuk instability in the spin channel with angular momentum $\ell=1$ and an attractive interaction, favoring Cooper-pair formation. We found that the superconducting gap strongly suppresses the phase…

Superconductivity · Physics 2013-05-09 Daniel G. Barci , Paulo S. A. Bonfim

Magnetic instability in gapless superconductors still remains as a puzzle. In this article, we point out that the instability might be caused by using BCS theory in mean-field approximation, where the phase fluctuation has been neglected.…

High Energy Physics - Phenomenology · Physics 2009-11-11 Mei Huang

We present a phase diagram of Bose-Hubbard model with on-site chemical potential disorder at two dimensions within the scope of mean-field theory. The phase diagram in the disorder strength ($\Delta$) and the on-site repulsion ($U$) for…

Quantum Gases · Physics 2025-08-08 Manjari Gupta

The mixed state of superconducting (SC) and normal (N) phases in one dimensional systems are characterized by several phase slips and localization of the order parameter of the SC phase. The phenomenon is explained on the basis of a complex…

Superconductivity · Physics 2009-11-13 A. Bhattacharyay