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We study the ground-state phase diagram of a one-dimensional $\mathbb{Z}_2$ lattice gauge theory coupled to soft-core bosonic matter at unit filling, inspired by the Higgs sector of the standard model. Through a combination of analytical…

Quantum Gases · Physics 2025-03-07 Alexander Schuckert , Stefan Kühn , Kevin C. Smith , Eleanor Crane , Steven M. Girvin

We extend Gor'kov theory to address superconducting pairing at high magnetic fields and general temperatures with arbitrary attractive interaction strength. This analysis begins with a new interpretation of the high-field Gor'kov gap…

Superconductivity · Physics 2013-10-25 Peter Scherpelz , Dan Wulin , Břetislav Šopík , K. Levin , A. K. Rajagopal

We explore the pairing properties of the one-dimensional attractive Hubbard model in the presence of finite spin polarization. The correlation exponents for the most important fluctuations are determined as a function of the density and the…

Strongly Correlated Electrons · Physics 2008-08-06 Andreas Luscher , Reinhard M. Noack , Andreas Laeuchli

We use a recently developed technique, which allows to perform few Lanczos steps on a given wavefunction even for large system sizes, to investigate the $t{-}J$ model in the physical parameter region and to check the stability of the BCS…

Strongly Correlated Electrons · Physics 2007-05-23 Federico Becca , Luca Capriotti , Sandro Sorella

The pairing symmetry is one of the major issues in the study of iron-based superconductors. We adopt a minimal two-band tight-binding model with various channels of pairing interaction, and derive a set of two-band Bogoliubov-de Gennes…

Superconductivity · Physics 2009-05-07 Xiang Hu , C. S. Ting , Jian-Xin Zhu

The high-$T_c$ cuprates are possible candidates for d-wave superconductivity, with the Cooper pair wave function belonging to a non-trivial irreducible representation of the lattice point group. We argue that this d-wave symmetry is related…

supr-con · Physics 2009-10-30 A. S. Blaer , H. C. Ren , O. Tchernyshyov

We demonstrate the existence of confined states in one- and two-dimensional (1D and 2D) systems of two linearly-coupled components, with the confining harmonic-oscillator (HO) potential acting upon one component, and an expulsive anti-HO…

Pattern Formation and Solitons · Physics 2022-04-13 Nir Hacker , Boris A. Malomed

Superconductivity in Na$_x$CoO$_2$$\cdot$yH$_2$O is likely to be a p or d-wave; however, experiments are unable to pinpoint the symmetry. A simple estimate of pair breaking effects from an unavoidable `Na$^+$ vacancy disorder' in an ordered…

Superconductivity · Physics 2013-05-29 Debanand Sa , Manas Sardar , G. Baskaran

Since the discovery of high-temperature superconductivity in 1986 by Bednorz and Mueller, great efforts have been devoted to finding out how and why it works. From the d-wave symmetry of the order parameter, the importance of…

Superconductivity · Physics 2015-05-13 Karyn Le Hur , T. Maurice Rice

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state of a two-dimensional (2D) orthorhombic lattice superconductor is studied based on the Bogoliubov-de-Gennes equations. It is illustrated that the 2D FFLO state is suppressed and only…

Superconductivity · Physics 2012-06-19 S. L. Liu , Tao Zhou

Superconductivity in strongly correlated systems is a remarkable phenomenon that attracts a huge interest. The study of this problem is relevant for materials as the high Tc oxides, pnictides and heavy fermions. In this work we study a…

Superconductivity · Physics 2016-08-02 Daniel Reyes , Mucio A. Continentino , Christopher Thomas , Claudine Lacroix

We explore the interplay of a charge density wave (CDW) order and s-wave superconductivity (sSC) in a disordered system. Recent experiments on 1T-TiSe_2, where the pristine sample has a commensurate CDW order and the superconductivity…

Superconductivity · Physics 2018-10-03 Anurag Banerjee , Arti Garg , Amit Ghosal

Using exact Lanczos diagonalizations we have shown that the pair-hopping model for {\it negative} $W$ exhibits a phase transition into $\eta$-{\it superconducting state}. The transition occurs at {\it any band filling} and the critical…

Condensed Matter · Physics 2009-10-28 Georges Bouzerar , G. I. Japaridze

In a partially filled flat Bloch band electrons do not have a well defined Fermi surface and hence the low-energy theory is not a Fermi liquid. Neverethless, under the influence of an attractive interaction, a superconductor well described…

Strongly Correlated Electrons · Physics 2017-01-05 Murad Tovmasyan , Sebastiano Peotta , Päivi Törmä , Sebastian D. Huber

We consider a model of bosons on a regular lattice with a kinetic energy due to hopping among sites and a potential energy due to strong on site interaction. A superfluid phase is expected when the ground state of the local energy is doubly…

Statistical Mechanics · Physics 2007-05-23 F. de Pasquale , S. M. Giampaolo

The Hubbard model and its extensions are canonical theoretical frameworks for understanding correlated electronic states, including those in high-$T_c$ cuprates. Here, we use state-of-the-art thermal tensor network method to map out the…

Strongly Correlated Electrons · Physics 2026-04-20 Qiaoyi Li , Yang Qi , Wei Li

Over the past years, one witnesses a growing interest in flat band (FB) physics which has become a playground for exotic phenomena. In this study, we address the FB superconductivity in onedimensional stub chain. In contrast to the sawtooth…

Superconductivity · Physics 2023-09-21 Maxime Thumin , Georges Bouzerar

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 show that in the presence of magnetic field, two superconducting phases with the center-of-mass momentum of Cooper pair parallel to the magnetic field are induced in spin-orbit-coupled superconductor Li$_2$Pd$_3$B. Specifically, at small…

Superconductivity · Physics 2018-07-06 F. Yang , M. W. Wu

Based on experimental data on the newly synthesized iron-based superconductors and the relevant band structure calculations, we propose a minimal two-band BCS-type Hamiltonian with the interband Hubbard interaction included. We illustrate…

Superconductivity · Physics 2009-11-13 Q. Han , Y. Chen , Z. D. Wang
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