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The quantum condensate of Cooper-pairs forming a superconductor was originally conceived to be translationally invariant. In theory, however, pairs can exist with finite momentum $Q$ and thereby generate states with spatially modulating…

Splitting of Cooper pairs has recently been realized experimentally for s-wave Cooper pairs. A split Cooper pair represents an entangled two-electron pair state which has possible application in on-chip quantum computation. Likewise the…

Mesoscale and Nanoscale Physics · Physics 2013-01-18 H. Soller , A. Komnik

We investigate a semiconductor $p$-$n$ junction in contact with superconducting leads that is operated under forward bias as a light-emitting diode. The presence of superconductivity results in a significant increase of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-12 Patrik Hlobil , Peter P. Orth

The advent of quantum optical techniques based on superconducting circuits has opened new regimes in the study of the non-linear interaction of light with matter. Of particular interest has been the creation of non-classical states of…

We propose a novel approach for efficient generation of entangled photons, based on Cooper-pair luminescence in semiconductors, which does not require isolated emitters such as single atoms or quantum dots. We show that in bulk materials,…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Alex Hayat , Hae-Young Kee , Kenneth S. Burch , Aephraim M. Steinberg

The two electrons of a Cooper pair in a conventional superconductor form a singlet and therefore a maximally entangled state. Recently, it was demonstrated that the two particles can be extracted from the superconductor into two spatially…

Mesoscale and Nanoscale Physics · Physics 2012-10-10 J. Schindele , A. Baumgartner , C. Schönenberger

On a basis of earlier substantiated expression for effective potential of electron-electron attraction in metals the assumption of an opportunity of formation of classically bound pairs is put forward. It was shown that in distinction from…

Superconductivity · Physics 2007-05-23 I. M. Yurin , V. B. Kalinin

We address the origin of the Cooper pairs in high-$T_c$ cuprates and the unique nature of the superconducting (SC) condensate. Itinerant holes in an antiferromagnetic background form pairs spontaneously, without any `glue', defining a new…

Superconductivity · Physics 2018-11-07 William Sacks , Alain Mauger , Yves Noat

Propagation of Cooper pairs in carbon nanotubes in the presence of superconducting correlations is studied theoretically. We find that negative and positive currents induced by impurity scatterings between electrons and holes cancel each…

Soft Condensed Matter · Physics 2016-08-31 Kikuo Harigaya

Conventional Cooper pairing arises from attractive interaction of electrons in the metallic bands. Recent experiment on Co-doped LiFeAs shows superconductivity in the insulating valence band, which is evolved from a metallic hole band upon…

Superconductivity · Physics 2015-04-29 Lun-Hui Hu , Wei-Qiang Chen , Fu-Chun Zhang

Split Cooper pair is a natural source for entangled electrons which is a basic ingredient for quantum information in solid state. We report an experiment on a superconductor-graphene double quantum dot (QD) system, in which we observe…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 Z. B. Tan , D. Cox , T. Nieminen , P. Lähteenmäki , D. Golubev , G. B. Lesovik , P. J. Hakonen

Understanding exotic, non s--wave--like states of Cooper pairs is important and may lead to new superconductors with higher critical temperatures and novel properties. Their existence is known to be possible but has always been thought to…

Superconductivity · Physics 2015-06-17 Xiangang Wan , Sergey Y. Savrasov

The Cooper pair is generally analyzed in momentum space, but its real-space structure also follows directly from the BCS theory. It is shown here that this leads to a spherically symmetrical quasi-atomic wavefunction, with an identical…

Superconductivity · Physics 2007-05-23 Alan M. Kadin

The microscopic theory of superconductivity raised the disruptive idea that electrons couple through the elusive exchange of virtual phonons, overcoming the strong Coulomb repulsion to form Cooper pairs. Light is also known to interact with…

Based on the quantum two-body problem introduced in [arXiv:1604.06693] we consider bound pairs of electrons moving on the positive half-line. The analysis is motivated by the ground-breaking work of Cooper who identified the pairing of…

Mathematical Physics · Physics 2019-03-13 Joachim Kerner

Photon absorption in a semiconductor produces bright excitons that recombine very fast into photons. We here show that in a quantum dot set close to a p-doped reservoir, this absorption can produce a dark duo, i.e., an electron-hole pair…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Shiue-Yuan Shiau , Benoit Eble , Valia Voliotis , Monique Combescot

In most naturally occurring superconductors, electrons with opposite spins are paired up to form Cooper pairs. This includes both conventional $s$-wave superconductors such as aluminum as well as high-$T_\text{c}$, $d$-wave superconductors.…

The unusual dispersion of electron states in antinodal direction for $n_{h}\simeq\frac{1}{8}$ holes/copper is explained. In photoelectron excitations, transformations of the $\mathbf{k}$ space as a consequence of symmetry breaking proves to…

Superconductivity · Physics 2010-06-23 W. Winkler

The mutual interaction between Cooper pairs is proposed as a mechanism for the superconducting state. Above $T_c$, pre-existing but fluctuating Cooper pairs give rise to the unconventional {\it pseudogap} (PG) state, well-characterized by…

Superconductivity · Physics 2015-09-30 William Sacks , Alain Mauger , Yves Noat

In conventional superconductors, phonons glue two electrons with opposite spins to form Cooper pairs and condensation of these pairs leads to the superconductivity. Identifying the underlying mechanism of the high temperature…

Superconductivity · Physics 2011-10-10 Abolhassan Vaezi