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Starting from the purely microscopic model, we go beyond conventional mean-field theory and develop a self-consistent microscopic thermodynamic framework for disordered 2D superconductors. It incorporates the fermionic Bogoliubov…

Superconductivity · Physics 2026-03-06 F. Yang , L. Q. Chen

A general theory is developed to describe graphene with arbitrary number of isolated impurities. The theory provides a basis for an efficient numerical analysis of the charge transport and is applied to calculate the minimal conductivity of…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 P. M. Ostrovsky , M. Titov , S. Bera , I. V. Gornyi , A. D. Mirlin

The Landauer scattering approach to 4-probe resistance is revisited for the case of a d-dimensional disordered resistor in the presence of decoherence. Our treatment is based on an invariant-embedding equation for the evolution of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dibyendu Roy , N. Kumar

Two-dimensional semiconductor-superconductor heterostructures form the foundation of numerous nanoscale physical systems. However, measuring the properties of such heterostructures, and characterizing the semiconductor in-situ is…

Superconductivity · Physics 2024-05-01 Serafim S. Babkin , Andrew P. Higginbotham , Maksym Serbyn

We present a systematic investigation of the effects of "nonmagnetic" impurities on the $s$-wave BCS-BEC crossover in atomic Fermi gases within a pairing fluctuation theory. Both pairing and impurity scattering $T$-matrices are treated…

Quantum Gases · Physics 2017-02-28 Yanming Che , Qijin Chen

As a signature of competing correlations, stripes occur in a variety of strongly correlated systems, such as high temperature superconductors (SCs) and quantum Hall effect. We study a double layer SC in the presence of a parallel magnetic…

Superconductivity · Physics 2024-08-02 Uddalok Nag , Jonathan Schirmer , Enrico Rossi , C. -X. Liu , J. K. Jain

Interstitials and vacancies in the Abrikosov phase of clean Type II superconductors are line imperfections, which cannot extend across macroscopic equilibrated samples at low temperatures. We argue that the entropy associated with line…

Condensed Matter · Physics 2009-10-22 Erwin Frey , David R. Nelson , Daniel S. Fisher

We solve the Bogoliubov-de Gennes equations self-consistently for d-wave superconductors with [110] surfaces. We find spontaneous breaking of time-reversal symmetry (TRS) caused by the spontaneous occurrence of a complex order parameter…

Superconductivity · Physics 2018-05-09 Yuki Nagai , Yukihiro Ota , K. Tanaka

We drive a quantum kinetic equation under discrete impurities for the Wigner function from the quantum Liouville equation. To attain this goal, the electrostatic Coulomb potential is separated into the long- and short-range parts, and the…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Nobuyuki Sano

Nonlinear optical response is a sensitive probe of the geometry and symmetry of electronic Bloch states in solids. Here, we extend this notion to the Bogoliubiov-de-Gennes (BdG) quasiparticles in superconductors. We present a theory of…

Superconductivity · Physics 2025-02-19 Daniel Kaplan , Kevin P. Lucht , Pavel A. Volkov , J. H. Pixley

A magnetic impurity on a superconducting substrate induces in-gap Yu-Shiba-Rusinov (YSR) bound states, whose intricate spatial structure crucially influences the possibilities of engineering collective impurity states. By means of a…

Superconductivity · Physics 2022-04-12 Mateo Uldemolins , Andrej Mesaros , Pascal Simon

We study the polarization-dependent electronic Raman response of untwinned YBa$_2$Cu$_3$O$_{7-\delta}$ superconductors employing a tight-binding band structure with anisotropic hopping matrix parameters and a superconducting gap with a…

Superconductivity · Physics 2007-06-11 Andreas P. Schnyder , Christopher Mudry , Dirk Manske

We investigate the scattering matrix in mass-deformed N>=4 Chern-Simons models including as special cases the BLG and ABJM theories of multiple M2 branes. Curiously the structure of this scattering matrix in three spacetime dimensions is…

High Energy Physics - Theory · Physics 2009-06-19 Abhishek Agarwal , Niklas Beisert , Tristan McLoughlin

Applying the Bogoliubov-de Gennes equations with density-functional theory, it is possible to formulate first-principles description of current-phase relationships in superconducting/normal (magnetic)/superconducting trilayers. Such…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 H. Ness , M. van Schilfgaarde

The two-gap model for superconductivity in MgB2 predicts that interband impurity scattering should be pair breaking, reducing the critical temperature. This is perhaps the only prediction of the model that has not been confirmed…

Superconductivity · Physics 2009-11-10 Steven C. Erwin , I. I. Mazin

We present the equation of state of infinite neutron matter as obtained from highly-realistic Hamiltonians that include nucleon-nucleon and three-nucleon coordinate-space potentials. We benchmark three independent many-body methods:…

Nuclear Theory · Physics 2022-06-08 A. Lovato , I. Bombaci , D. Logoteta , M. Piarulli , R. B. Wiringa

The superconducting gap modulation is investigated in the presence of a weak stripe structure, using the Bogoliubov-de Gennes theory on the two-dimensional Hubbard model with nearest-neighbor site pairing interaction. We calculate the local…

Superconductivity · Physics 2009-11-07 Masanori Ichioka , Kazushige Machida

We establish the exact solution of the nonlinear Schrodinger equation with a delta-function impurity, representing a point-like defect which reflects and transmits. We solve the problem both at the classical and the second quantized levels.…

Mathematical Physics · Physics 2015-06-26 V. Caudrelier , M. Mintchev , E. Ragoucy

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

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