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Semiconductor heterostructures with prescribed energy dependence of the transmittance can be designed by combining: {\em a)} Pad\'e approximant reconstruction of the S-matrix; {\em b)} inverse scattering theory for Schro\"dinger's equation;…

Condensed Matter · Physics 2009-10-28 Daniel Bessis , Giorgio Mantica , G. Andrei Mezincescu , Daniel Vrinceanu

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

A theory of Kondo lattices is developed for the t-J model on a square lattice. The spin susceptibility is described in a form consistent with a physical picture of Kondo lattices: Local spin fluctuations at different sites interact with…

Superconductivity · Physics 2009-11-10 Fusayoshi J. Ohkawa

We investigate the conductance through and the spectrum of ballistic chaotic quantum dots attached to two s-wave superconductors, as a function of the phase difference $\phi$ between the two order parameters. A combination of analytical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. C. Goorden , Ph. Jacquod , J. Weiss

Superconductivity is traditionally viewed as a low-temperature phenomenon. Within the BCS theory this is understood to result from the fact that the pairing of electrons takes place only close to the usually two-dimensional Fermi surface…

Materials Science · Physics 2017-11-22 Tero T. Heikkila , Grigori E. Volovik

We discuss the general transport properties of superconducting quantum point contacts. We show how these properties can be obtained from a microscopic model using nonequilibrium Green function techniques. For the case of a one-channel…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Martin-Rodero , A. Levy Yeyati , J. C. Cuevas

Weakly and strongly interacting quantum many-body systems, namely semiconductors and Mott insulators, are combined into a layered heterostructure. Via the hierarchy of correlations, we derive and match the propagating quasi-particle…

Strongly Correlated Electrons · Physics 2025-05-28 Jan Verlage , Peter Kratzer

The quasiclassical theory of superconductivity provides the most successful description of diffusive heterostructures comprising superconducting elements, namely, the Usadel equations for isotropic Green's functions. Since the…

Superconductivity · Physics 2011-04-19 Audrey Cottet , Daniel Huertas-Hernando , Wolfgang Belzig , Yuli V. Nazarov

We develop an approach on how to define single-point interactions under the application of external fields. The essential feature relies on an asymptotic method based on the one-point approximation of multi-layered heterostructures that are…

Quantum Physics · Physics 2019-06-11 A. V. Zolotaryuk , G. P. Tsironis , Y. Zolotaryuk

We rigorously prove the bifurcation of slow-moving pattern interfaces with general direction in a two-dimensional Swift-Hohenberg-type model close to a Turing instability for a large class of nonlinearities. These interfaces describe the…

Analysis of PDEs · Mathematics 2026-04-13 Bastian Hilder , Jonas Jansen

We have generalized the scattering-matrix theory of multiple Andreev reflections in mesoscopic Josephson junctions to the multi-mode case, and applied it to short superconductor/normal metal/superconductor junctions with diffusive electron…

Superconductivity · Physics 2008-02-03 Athanassios Bardas , Dmitri V. Averin

Volkov-Pankratov states are nontopological massive bound states which generally arise across the smooth interface between two adjacent regions of a two-band semimetal, over which a gap parameter changes sign smoothly. In this work, we show…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Aiman Rauf , SK Firoz Islam

The shape of experimentally observed R(T) transition of thin superconducting wires is analyzed. Broadening of the transition in quasi-1-dimensional superconducting channels is typically associated with phase slip mechanism provided by…

Superconductivity · Physics 2009-04-07 M. Zgirski , K. Yu. Arutyunov

We develop the full t-matrix theory of quasiparticle interference (QPI) for non-centrosymmetric (NCS) superconductors with Rashba spin-orbit coupling. We give a closed solution for the QPI spectrum for arbitrary combination and strength of…

Superconductivity · Physics 2013-12-04 Alireza Akbari , Peter Thalmeier

Harmonically trapped lattice bosons with strong repulsive interactions exhibit a superfluid-Mott-insulator heterostructure in the form of a "wedding cake". We discuss the mesoscopic aspects of such a system within a one-dimensional…

Other Condensed Matter · Physics 2009-05-06 Sebastian D. Huber , Gianni Blatter

Measurement of multiple Andreev reflection (MAR) in a Josephson junction made from an InAs heterostructure with epitaxial aluminum is used to quantify the highly transparent semiconductor-superconductor interface, indicating near-unity…

Mesoscale and Nanoscale Physics · Physics 2017-03-31 M. Kjaergaard , H. J. Suominen , M. P. Nowak , A. R. Akhmerov , J. Shabani , C. J. Palmstrøm , F. Nichele , C. M. Marcus

A general partial-wave multiple scattering theory for scattering from cylindrically symmetric potentials on a topological insulator (TI) surface is developed. As an application, the cross sections for a single scatterer and two scatterers…

Mesoscale and Nanoscale Physics · Physics 2011-12-09 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

We present a phenomenological calculation of the quasiparticle-interference (QPI) pattern and inelastic Neutron scattering (INS) spectra in iron-pnictide and layered iron-selenide compounds by using materials specific band-structure and…

Superconductivity · Physics 2012-04-24 Tanmoy Das , A. V. Balatsky

This article reviews the current status of precursor superconducting phase fluctuations as a possible mechanism for pseudogap formation in high-temperature superconductors. In particular we compare this approach which relies on the…

Superconductivity · Physics 2007-05-23 Vadim M. Loktev , Rachel M. Quick , Sergei G. Sharapov

One-dimensional Mott insulators can be described using the sine-Gordon model, an integrable quantum field theory that provides the low-energy effective description of several one-dimensional gapped condensed matter systems, including recent…

Strongly Correlated Electrons · Physics 2024-04-25 Frederik Møller , Botond C. Nagy , Márton Kormos , Gábor Takács