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We found solutions of the Bogoliubov-de Gennes equations for the two-dimensional self-consistent model of superconductors with $d_{x^2-y^2}$ symmetry of the order parameter, taking into account spin and charge distributions. Analytical…

Superconductivity · Physics 2013-01-01 S. I. Matveenko , S. I. Mukhin , F. V. Kusmartsev

The influence of incommensurate spin density waves (SDW) on superconductivity in unconventional superconductors is studied by means of the Bogolubov-de Gennes (BdG) equations. Exploiting translational symmetries of a magnetically ordered…

Superconductivity · Physics 2015-05-30 Andrzej Ptok , Maciej M. Maska , Marcin Mierzejewski

We investigate a two-dimensional superconducting system with a smoothly and periodically varying order parameter. The order parameter is modulated along one direction while remaining uniform in the perpendicular direction, leading to a…

Superconductivity · Physics 2026-03-13 Klaus Ziegler

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

Electronic charges introduced in copper-oxide planes generate high-transition temperature superconductivity but, under special circumstances, they can also order into filaments called stripes. Whether an underlying tendency of charges to…

Superconductivity · Physics 2011-09-12 T. Wu , H. Mayaffre , S. Kramer , M. Horvatic , C. Berthier , W. N. Hardy , R. Liang , D. A. Bonn , M. -H. Julien

We study striped morphologies induced by magnetic impurities in d-wave superconductors (DSCs) near optimal doping by self-consistently solving the Bogoliubov-de Gennes equations based on the $t-t^{\prime }-U-V$ model. For the single…

Superconductivity · Physics 2015-05-20 Xian-Jun Zuo

We show that many observable properties of high temperature superconductors can be obtained in the frameworks of one-dimensional self-consistent model with included superconducting correlations. Analytical solutions for spin, charge and…

Strongly Correlated Electrons · Physics 2016-08-31 S. I. Matveenko

The role of self-consistency in Bogoliubov-de Gennes equations is frequently underestimated in the investigation of in-gap states created by magnetic impurities in s-wave superconductors. Our research focuses on the impact of…

Superconductivity · Physics 2024-02-05 Divya Jyoti , Deung-Jang Choi , Nicolas Lorente

The two-component model of high temperature superconductors in its real space version has been solved using Bogoliubov-de Gennes equations. The disorder in the electron and boson subsystem has been taken into account. It strongly modifies…

Superconductivity · Physics 2015-05-19 J. Krzyszczak , T. Domanski , K. I. Wysokinski , R. Micnas , S. Robaszkiewicz

We propose a macroscopic description of the superconducting state in presence of an applied external magnetic field in terms of first order differential equations. They describe a corrugated two-component order parameter intertwined with a…

Superconductivity · Physics 2012-05-04 Mauro M. Doria , Alfredo A. Vargas-Paredes , JosÉ A. HelayËl-Neto

Ginzburg-Landau (GL) equations for the coexistent states of superconductivity and magnetism are derived microscopically from the extended Hubbard model with on-site repulsive and nearest-neighbor attractive interactions. In the derived GL…

Superconductivity · Physics 2013-03-07 Kazuhiro Kuboki , Keiji Yano

The lasting puzzle of the superconducting order parameter of Sr$_2$RuO$_4$ calls for theoretical studies that include seldom-considered effects. Here we include spin-orbit coupling effects on the electronic structure and then solve the…

Superconductivity · Physics 2022-02-02 Olivier Gingras , Nikita Allaglo , Reza Nourafkan , Michel Côté , André-Marie S. Tremblay

We consider the effect of the nematic order on the formation of the superconducting state in iron pnictides and chalcogenides. Nematic order with the $B_{2g}$ symmetry is modelled as the $d$-type Pomeranchuk instability and treated within…

Superconductivity · Physics 2024-11-01 M. M. Korshunov , Yu. N. Togushova

We study the effect of magnetic impurities in the d_{x^2-y^2}-wave superconducting (SC) state of the two dimensional t-J model.The spin-orbit and the spin-exchange interactions are examined by treating the impurity as a classical spin. The…

Superconductivity · Physics 2017-08-31 Toshifumi Yagi , Kazuhiro Kuboki

Proximity effects between ferromagnets (F) and superconductors (S) with broken time-reversal symmetry (T) are studied theoretically. For the S side we consider a chiral (p_x \pm ip_y)-wave, and a d_{x^2-y^2}-wave superconductor, the latter…

Strongly Correlated Electrons · Physics 2009-11-07 Kazuhiro Kuboki , Hidenori Takahashi

We analyze the competition of magnetism and superconductivity in the two-dimensional Hubbard model with a moderate interaction strength, including the possibility of incommensurate spiral magnetic order. Using an unbiased renormalization…

Strongly Correlated Electrons · Physics 2016-03-15 Hiroyuki Yamase , Andreas Eberlein , Walter Metzner

It has previously been found that a magnetic impurity in a conventional $s$-wave superconductor can give rise to a local $\pi$-phase shift of the superconducting order parameter. By studying a finite wire of ferromagnetic impurities, we are…

Superconductivity · Physics 2017-04-05 Kristofer Björnson , Alexander. V. Balatsky , Annica M. Black-Schaffer

In two-dimensional superconductors with a Rashba-type spin-orbit coupling, it is known that an in-plane magnetic field can induce a helical superconducting (SC) state with a phase modulation $e^{i {\bf q}\cdot {\bf r}}$. Here, we…

Superconductivity · Physics 2024-10-02 Kazushi Aoyama

We analyze the charge and spin transport through a ballistic ferromagnet/insulator/superconductor junction by means of the Bogoliubov-de Gennes equations. For the ferromagnetic side we assume that ferromagnetism may be driven by an unequal…

Superconductivity · Physics 2015-05-27 Gaetano Annunziata , Mario Cuoco , Paola Gentile , Alfonso Romano , Canio Noce

We present a theoretical framework for understanding recent transverse field muon spin rotation (TF-$\mu$SR) experiments on cuprate superconductors in terms of localized regions of phase-coherent pairing correlations above the bulk…

Superconductivity · Physics 2014-11-05 E. V. L. de Mello , J. E. Sonier
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