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The Bogoliubov-de Gennes (BdG) equations are solved in the strong-coupling limit, where real-space (preformed) pairs bose-condense with finite center-of-mass momenta. There are two energy scales in this regime, a temperature independent…

Superconductivity · Physics 2007-05-23 A. S. Alexandrov

We have studied the interplay of Andreev reflection and cyclotron motion of quasiparticles at a superconductor-normal-metal interface with a strong magnetic field applied parallel to the interface. Bound states are formed due to the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Hoppe , U. Zuelicke , Gerd Schoen

We calculate the mean-field thermodynamics of a spherically trapped Fermi gas with unequal spin populations in the unitarity limit, comparing results from the Bogoliubov-de Gennes equations and the local density approximation. We follow the…

Strongly Correlated Electrons · Physics 2007-05-23 Xia-Ji Liu , Hui Hu , Peter D. Drummond

The ability to simulate realistically the electronic structure of superconducting materials is important to understand and predict various properties emerging in both the superconducting topological and spintronics realms. We introduce a…

Superconductivity · Physics 2023-12-19 Uriel A. Aceves Rodriguez , Filipe Guimarães , Samir Lounis

Competition between superconductivity and disorder plays an essential role in understanding the metal-insulator transition. Based on the Bogoliubov-de Gennes equation, we studied an s-wave superconductor with both spin-orbit coupling and…

Quantum Gases · Physics 2016-05-12 Sheng Liu , Xiang-Fa Zhou , Guang-Can Guo , Yong-Sheng Zhang

We derive the statistics of the time-delay matrix (energy derivative of the scattering matrix) in an ensemble of superconducting quantum dots with chaotic scattering (Andreev billiards), coupled ballistically to $M$ conducting modes…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 M. Marciani , P. W. Brouwer , C. W. J. Beenakker

We consider the experimental properties of superconductors with a gap which is an odd function of energy $\bepsk=\epsk - \mu$, i.e.\ , a gap which vanishes everywhere on the Fermi surface; this is done within a in a BCS framework. Apart…

Condensed Matter · Physics 2009-10-22 M. Dobroliubov , E. Langmann , P. C. E. Stamp

The symmetry of the superconducting order parameter, or simply the ``gap'', provides certain constraints on the actual mechanism that gives rise to pairing and ultimately to superconductivity. In this work we show how superconducting phases…

Superconductivity · Physics 2025-05-14 Pramodh Senarath Yapa , Xinyu Guo , Joseph Maciejko , Frank Marsiglio

We present here an extensive theoretical analysis of the supercurrent of a superconducting point contact of arbitrary transparency in the presence of a microwave field. Our study is mainly based on two different approaches: a two-level…

Superconductivity · Physics 2015-05-28 F. S. Bergeret , P. Virtanen , A. Ozaeta , T. T. Heikkilä , J. C. Cuevas

This paper reviews the confinement-driven phase transitions, and the prediction of superfluid phases with broken time-reversal or translational symmetry in thin films. The new phases are a result of particle-hole coherent Andreev scattering…

Superconductivity · Physics 2018-07-27 Anton B. Vorontsov

Local superconducting gap structure is studied as a function of nanoscale depth in electric-field-induced surface superconductivity such as in SrTiO3. We examine solutions of Bogoliubov-de Gennes equation in two limiting confinement…

Superconductivity · Physics 2013-03-04 Yousuke Mizohata , Masanori Ichioka , Kazushige Machida

We calculate surface density of state (SDOS) of s+-wave Cooper pair in two-band superconductor model, where gap functions have different signs between two bands. We find that Andreev bound state appears at surface due to the sign change in…

Superconductivity · Physics 2015-05-13 Seiichiro Onari , Yukio Tanaka

We report on a calculation of the quantized energy spectrum and quasiparticle eigenfunctions for low lying excitations in the mixed state of clean d-wave superconductors. Our study is based on an approximate analytical solution of the…

Superconductivity · Physics 2007-05-23 A. S. Mel'nikov

Andreev levels deplete energy states above the superconductive gap, which leads to the peculiar nonmonotonous crossover in the local density of states of mesoscopic superconductor/normal-metal/superconductor junctions. This effect is…

Superconductivity · Physics 2008-05-13 Alex Levchenko

The pseudopotential theory is extended to the Bogoliubov-de Gennes equations to determine the excess energy when one atom is added to the trapped superfluid Fermi system with even number of atoms. Particular attention is paid to systems…

Quantum Gases · Physics 2012-02-27 A. Csordás , G. Homa , P. Szépfalusy

Super-high resolution laser-based angle-resolved photoemission measurements have been performed on a high temperature superconductor Bi_2Sr_2CaCu_2O_8. The band back-bending characteristic of the Bogoliubov-like quasiparticle dispersion is…

Andreev bound states (ABSs) are studied in quantum dot coupled to conventional BCS superconducting leads on the basis of effective slave boson Hamiltonian in an infinite-U (Coulomb interaction) limit followed by Green's function technique.…

Mesoscale and Nanoscale Physics · Physics 2020-07-21 Tanuj Chamoli , Ajay

We calculate the spectrum of the Andreev boundary modes in a two-dimensional superconductor formed at an interface between two different non-superconducting materials, e.g. insulating oxides. Inversion symmetry is absent in this system, and…

Superconductivity · Physics 2016-10-05 K. V. Samokhin , S. P. Mukherjee

By solving the Bogoliubov - de Gennes equation self-consistently in the presence of a non-equilibrium quasi-particle distribution, we compute the current-voltage characteristic of a phase coherent superconducting island with a tunnel…

Condensed Matter · Physics 2009-10-28 A Martin , CJ Lambert

We investigate the extended quasi-particle states in the mixed state of d-wave superconductors on the basis of the Bogoliubov-de Gennes equation. We prove that the quasi-particle eigen-states can be classified in terms of new topological…

Superconductivity · Physics 2007-05-23 Tomio Koyama