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We consider electron transport in a model of a spinless superconductor described by a Kitaev type lattice Hamiltonian where the electron interactions are modelled through a superconducting pairing term. The superconductor is sandwiched…

Superconductivity · Physics 2021-01-04 Junaid Majeed Bhat , Abhishek Dhar

In recent years, several experimental groups have reported measurements of the current-voltage (I-V) characteristics of individual or small numbers of molecules. Our purpose in this chapter is to provide an intuitive explanation for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Magnus Paulsson , Ferdows Zahid , Supriyo Datta

Transport through a one-dimensional wire of interacting electrons connected to semi infinite leads is investigated using a bosonization approach. The dynamic nonlocal conductivity is rigorously expressed in terms of the transmission. For…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Inès Safi , H. J. Schulz

We study the stationary nonlinear Schr\"odinger equation, or Gross-Pitaevskii equation, for a one--dimensional finite square well potential. By neglecting the mean--field interaction outside the potential well it is possible to discuss the…

Other Condensed Matter · Physics 2007-05-23 K. Rapedius , D. Witthaut , H. J. Korsch

Using the modified perturbation theory, we theoretically study the nonequilibrium Andreev transport through a quantum dot coupled to normal and superconducting leads (N-QD-S), which is strongly influenced by the Kondo and superconducting…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Yasuhiro Yamada , Yoichi Tanaka , Norio Kawakami

The transport coefficients of the Anderson model are calculated by extending Wilson's NRG method to finite temperature Green's functions. Accurate results for the frequency and temperature dependence of the single--particle spectral…

Condensed Matter · Physics 2009-10-22 T. A. Costi , A. C. Hewson , V. Zlatic

The coherent flow of a Bose-Einstein condensate through a quantum dot in a magnetic waveguide is studied. By the numerical integration of the time-dependent Gross-Pitaevskii equation in presence of a source term, we simulate the propagation…

Other Condensed Matter · Physics 2009-11-10 Tobias Paul , Klaus Richter , Peter Schlagheck

Motivated by the experimental realization of a multi-channel charge Kondo device [Iftikhar et al., Nature 526, 233 (2015)], we study generic charge and heat transport properties of the charge two-channel Kondo model. We present a…

Strongly Correlated Electrons · Physics 2020-12-03 G. A. R. van Dalum , A. K. Mitchell , L. Fritz

We investigate theoretically the transport properties of a mesoscopic system driven by a sequence of rectangular pulses applied at the contact to the input (left) lead. The characteristics of the current which would be measured in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-27 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

We consider the stationary states of a chain of $n$ anharmonic coupled oscillators, whose deterministic hamiltonian dynamics is perturbed by random independent sign change of the velocities (a random mechanism that conserve energy). The…

Statistical Mechanics · Physics 2015-05-28 Cedric Bernardin , Stefano Olla

We report a numerical study of transport properties of a quantum dot with superconducting leads. We introduce a general phenomenological model of quantum dot transport, in which electron tunnel rates are computed within the Fermi's Golden…

Condensed Matter · Physics 2009-10-28 C. B. Whan , T. P. Orlando

We study the electron transport through the quantum dot coupled to the normal metal and BCS-like superconductor (N - QD - S) in the presence of the Kondo effect and Andreev scattering. The system is described by the single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Krawiec , K. I. Wysokinski

We use the scattering states numerical renormalization group (SNRG) approach to calculate the current $I(V)$ through a single molecular level coupled to a local molecular phonon. The suppression of $I$ for asymmetric junctions with…

Mesoscale and Nanoscale Physics · Physics 2015-10-09 Andre Jovchev , Frithjof B. Anders

We show that an Anderson Hamiltonian describing a quantum dot connected to multiple leads is integrable. A general expression for the non-linear conductance is obtained by combining the Bethe ansatz exact solution with Landauer-B\"uttiker…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sam Young Cho , Huan-Qiang Zhou , Ross H. McKenzie

We develop a nonperturbative dynamical theory (NDT) that is useful for treating nonequilibrium transport in a system with strong correlation. We apply our NDT to the single-impurity Anderson model in equilibrium to check its reliability by…

Strongly Correlated Electrons · Physics 2011-11-09 Jongbae Hong , Wonmyung Woo

Nonequilibrium electron transport through the Kondo impurity is investigated numerically for the system with twenty conduction-electron levels. The electron current under finite voltage drop is calculated in terms of the `conductance viewed…

Condensed Matter · Physics 2009-10-31 Yoshihiro Nishiyama

We use the recently proposed scattering states numerical renormalization group (SNRG) approach to calculate $I(V)$ and the differential conductance through a single molecular level coupled to a local molecular phonon. We also discuss the…

Strongly Correlated Electrons · Physics 2015-06-12 Andre Jovchev , Frithjof Anders

We investigate theoretically, the character of electronic eigenstates and transmission properties of a one dimensional array of stubs with Cantor geometry. Within the framework of real space re-normalization group (RSRG) and transfer matrix…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sheelan Sengupta , Arunava Chakrabarti , Samar Chattopadhyay

We give a further step in the quantum mechanical description of engineered atomic spin structures by deriving a master equation of the Redfield type that governs the dynamics of the atomic spin density matrix. By generalizing this approach…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Alexey M. Shakirov , Yulia E. Shchadilova , Alexey N. Rubtsov , Pedro Ribeiro

Resonant tunneling through a quantum dot coupled to superconducting reservoirs in the presence of time-dependent external voltage has been studied. A general formula of the current is derived based on the nonequilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sam Young Cho , Kicheon Kang , Chang-Mo Ryu
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