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We propose to use a time-dependent imaginary potential to describe quantum mechanical tunneling through time-varying potential barriers. We use Gamow solutions for stationary tunneling problems to justify our choice of potential, and we…

Quantum Physics · Physics 2013-05-20 Christian Kraglund Andersen , Klaus Mølmer

We introduce a two-channel tunneling model to generalize the widely used BTK theory of point-contact conductance between a normal metal contact and superconductor. Tunneling of electrons can occur via localized surface states or directly,…

Superconductivity · Physics 2015-04-02 Mikael Fogelstrom , Matthias J. Graf , V. A. Sidorov , Xin Lu , E. D. Bauer , J. D. Thompson

We present a multi-tip scanning tunneling potentiometry technique that can be implemented into existing multi-tip scanning tunneling microscopes without hardware changes. The resulting setup allows flexible in situ contacting of samples…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 F. Lüpke , S. Korte , V. Cherepanov , B. Voigtländer

We investigate transport through a normal-superconductor (NS) junction made from a quantum spin Hall (QSH) system with helical edge states and a two-dimensional (2D) chiral topological superconductor (TSC) having a chiral Majorana edge…

Mesoscale and Nanoscale Physics · Physics 2020-07-02 E. G. Novik , B. Trauzettel , P. Recher

We develop a perturbative approach that allows one to study the surface scattering in quasi-1D waveguides with rough boundaries. Our approach is based on the construction of an effective ``bulk'' potential of a very complicated structure.…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 F. M. Izrailev , N. M. Makarov , M. Rendon

Topologically non-trivial superconductivity has been predicted to occur in superconductors with a sizable spin-orbit coupling in the presence of an external Zeeman splitting. Two such systems have been proposed: (a) s-wave superconductor…

Superconductivity · Physics 2011-06-07 Sumanta Tewari , Tudor D. Stanescu , Jay D. Sau , S. Das Sarma

We develop a new numerical scheme which allows precise solution of coherent tunneling problems, i.e., problems with exponentially small transition amplitudes between quasidegenerate states. We explain how this method works for the…

Condensed Matter · Physics 2007-05-23 Nikolai Prokof'ev , Boris Svistunov , Igor Tupitsyn

Quantum tunnelling from a tilted, but otherwise periodic potential is studied. Our theoretical and experimental results show that, by controlling the system's parameters, we can engineer the escape rate of a Bose-Einstein condensate to an…

Other Condensed Matter · Physics 2007-06-05 Sandro Wimberger , Donatella Ciampini , Oliver Morsch , Riccardo Mannella , Ennio Arimondo

We investigate the tunneling of quasiparticles through a rectangular potential barrier of finite height and width, in 2d and 3d semimetals with band structures consisting of a quadratic band crossing point. We compute the transmission…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Ipsita Mandal

In the semiclassical limit h to 0, we analyze a class of self-adjoint Schr\"odinger operators H_h = h^2 L + h W + V id_E acting on sections of a vector bundle E over an oriented Riemannian manifold M where L is a Laplace type operator, W is…

Mathematical Physics · Physics 2020-05-29 Markus Klein , Elke Rosenberger

Tunneling conductance spectra of normal metal/insulator/superconductor (N/I/S) junctions are calculated to determine the potential of tunneling spectroscopy in investigations of topological superconductivity. Peculiar feature of topological…

Superconductivity · Physics 2016-03-08 Satoshi Kashiwaya , Hiromi. Kashiwaya , Kohta. Saitoh , Yasunori. Mawatari , Yukio. Tanaka

We study the behavior of the $s$-wave partial cross section $\sigma(k)$, the Wigner-Smith time delay $\tau(k)$, and the trapping probability $P(k)$ as function of the wave number $k$. The $s$-wave central square well is used for…

We propose a selfconsistent microscopic model of vertical sequential tunneling through a multi-quantum well.The model includes a detailed description of the contacts,uses the Transfer Hamiltonian for expressions of the current and it treats…

Condensed Matter · Physics 2009-10-30 Ramon Aguado , Gloria Platero , Miguel Moscoso , Luis L. Bonilla

Based on Bardeen's perturbative approach to tunneling, we have found an expression for the current between tip and sample, which can be efficiently coded in order to perform fast ab initio simulations of STM images. Under the observation…

Materials Science · Physics 2007-05-23 Oscar Paz , Jose M. Soler

Explicit predictions for Scanning Tunneling Microscopy (STM) on interacting one-dimensional electron systems are made using the Luttinger liquid formalism. The STM current changes with distance from an impurity or boundary in a…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert

A formally exact expression for the tunneling current, for its separation into specular and diffuse components, and for its directionality, is given for a thick tunnel junction with rough interfaces in terms of the properties of…

Superconductivity · Physics 2009-10-31 M. B. Walker

Tunneling of electrons through a barrier with complex potential is investigated. We focus on two cases, symmetric double rectangular barrier and double delta potential barrier, and give expressions for resonant transmission probability for…

Quantum Physics · Physics 2017-10-25 Nikola Opacak , Vitomir Milanovic , Jelena Radovanovic

We use a generalized Gutzwiller Approximation (GA) elaborated to evaluate matrix elements with partially projected wave functions and formerly applied to homogeneous systems. In the present paper we consider projected single-particle (hole)…

Strongly Correlated Electrons · Physics 2013-05-29 Andrea Di Ciolo , Luca F. Tocchio , Claudius Gros

We study the effect of image potential on spin polarized transport through Fe/MgO/Fe magnetic tunnel junctions in the presence of symmetry filtering. The image potential is included within the Simmon's model coupled with the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 Tehseen Zahra Raza , Hassan Raza

The tunneling probability between two leads connected by a molecule, a chain, a film, or a bulk polarizable insulator is investigated within a model of an electron tunneling from lead A to a state higher in energy, describing the barrier,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Peter Nalbach , Walter Harrison