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The theory of superconductivity developed by Bardeen, Cooper and Schrieffer (BCS) explains the stabilization of electron pairs into a spin-singlet, even frequency, state by the formation of an energy gap within which the density of states…

The energy spectrum of cake shape normal - superconducting systems is calculated by solving the Bogoliubov-de Gennes equation. We take into account the mismatch in the effective masses and Fermi energies of the normal and superconducting…

Superconductivity · Physics 2016-08-16 J. Cserti , B. Béri , P. Pollner , Z. Kaufmann

A characteristic feature of the BCS theory of superconductivity is the quantum-mechanical coherence of particle and hole states. Direct observation of particle-hole coherence in unusual superconducting materials is a strong indication of…

Superconductivity · Physics 2010-11-16 D. Rainer , H. Burkhardt , M. Fogelstrom , J. A. Sauls

Superconducting state is achieved through quantum condensation of Cooper pairs which are new types of charge carriers other than single electrons in normal metals. The theory established by Bardeen-Cooper-Schrieffer (BCS) in 1957 can…

Superconductivity · Physics 2025-02-20 Hai-Hu Wen

Although the standard theory of superconductivity based on the BCS theory is a successful one, several experimental results indicate the necessity for a fundamental revision. We argue that the revision is on the origin of the phase variable…

Superconductivity · Physics 2021-05-03 Hiroyasu Koizumi

Within the microscopic Bogoliubov--de Gennes (BdG) formalism an exact quantization condition for Andreev bound states of the ferromagnetic-superconducting hybrid systems of box geometry is derived and a semi-classical formula for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Cserti , J. Koltai , C. J. Lambert

We argue that a superconducting state with a Fermi-surface of Bogoliubov quasiparticles, a Bogoliubov Fermi-surface (BG-FS), can be identified by the dependence of physical quantities on disorder. In particular, we show that a linear…

Strongly Correlated Electrons · Physics 2021-12-24 Hanbit Oh , Daniel F. Agterberg , Eun-Gook Moon

The superconducting energy gap and quasiparticle density of states (DOS) is measured by means of Andreev-reflection spectroscopy in normal metal - superconductor point contacts. It is found that both in paramagnetic and in…

Superconductivity · Physics 2007-05-23 I. K. Yanson

Superconductivity is a remarkably widespread phenomenon observed in most metals cooled down to very low temperatures. The ubiquity of such conventional superconductors, and the wide range of associated critical temperatures, is readily…

The formation of bound states at surfaces of materials with an energy gap in the bulk electron spectrum is a well known physical phenomenon. At superconductor surfaces, quasiparticles with energies inside the superconducting gap $\Delta$…

Superconductivity · Physics 2009-11-07 T. Lofwander , V. S. Shumeiko , G. Wendin

We investigate single-particle excitation properties in the normal state of a two-band superconductor or superfluid throughout the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein-condensation (BEC) crossover, within the many-body T-matrix…

Superconductivity · Physics 2021-02-09 Hiroyuki Tajima , Pierbiagio Pieri , Andrea Perali

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 present a comprehensive theory of light-controlled multi-band superconductivity and apply it to predict distinctive signatures of light-driven superconducting (SC) states in terahertz multi-dimensional coherent spectroscopy (THz-MDCS)…

Superconductivity · Physics 2024-05-21 Martin Mootz , Liang Luo , Chuankun Huang , Jigang Wang , llias E. Perakis

Due to the value of the isotope shift in sulfur hydrides, a phonon-mediated pairing scenario of superconductivity is generally accepted for these high-temperature superconductors which is consistent with the Bardeen-Cooper-Schrieffer (BCS)…

Superconductivity · Physics 2018-12-11 R. M. Méndez-Moreno

For the BCS theory of superconductivity, the electron-phonon interaction is transformed to an attractive electron-electron interaction in the vicinity of the Fermi energy only. At the same time, its formal derivation using a unitary…

Superconductivity · Physics 2026-03-25 Joshua Althüser , Ilya M. Eremin , Götz S. Uhrig

Motivated by a recent experimental observation of superconductivity in the Al-Zn-Mg quasicrystal, we study the low-temperature behavior of electrons moving in the quasiperiodic potential of the Ammann-Beenker tiling in the presence of a…

Superconductivity · Physics 2019-07-12 Ronaldo N. Araújo , Eric C. Andrade

As the most successful microscopic superconductivity theory, Bardeen-Cooper-Schrieffer(BCS) theory has a very peculiar prediction: at zero temperature, only a fraction of electrons within an energy shell form Cooper pair and condense, but…

Superconductivity · Physics 2021-06-21 Da Wang

Bardeen-Cooper-Schrieffer (BCS) theory describes a superconducting transition as a single critical point where the gap function or, equivalently, the order parameter vanishes uniformly in the entire system. We demonstrate that in…

Superconductivity · Physics 2020-04-22 Albert Samoilenka , Egor Babaev

We consider the spectrum of Andreev bound states (ABSs) in an exemplary 4-terminal superconducting structure where 4 chaotic cavities are connected by QPCs to the terminals and to each other forming a ring. Such a tunable device can be…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 Tomohiro Yokoyama , Johannes Reutlinger , Wolfgang Belzig , Yuli V. Nazarov

The microscopic theory of superconducting (SC) state in the SU(2) slave-boson model is developed. We show how the pseudogap and Fermi surface (FS) segments in the normal state develop into a d-wave gap in the superconducting state. Even…

Strongly Correlated Electrons · Physics 2016-08-31 Xiao-Gang Wen , Patrick A. Lee
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