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We study the electron transport through a system of two low-capacitance metal islands connected in series between two electrodes. The work is motivated in part by experiments on semiconducting double-dots, which show intriguing effects…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Teemu Pohjola , Jürgen König , Herbert Schoeller , Gerd Schön

We investigate the phenomenon of reflectionless tunneling in ballistic normal-metal--superconductor (NS) structures, using a semiclassical formalism. It is shown that applied magnetic field and superconducting phase difference both impair…

Superconductivity · Physics 2009-11-07 M. Schechter , Y. Imry , Y. Levinson

As a superconducting thin film becomes disordered and subject to an increasing magnetic field, a point is reached when it undergoes a transition from a superconducting to an insulating state. We use the Bogoliubov-De-Gennes equations and a…

Superconductivity · Physics 2009-11-13 Yonatan Dubi , Yigal Meir , Yshai Avishai

We review the statics and dynamics of electric-field domains on doped superlattices within a discrete drift model. A complete analysis of the construction and stability of stationary field profiles having two domains is carried out. As a…

Condensed Matter · Physics 2007-05-23 L. L. Bonilla , M. Kindelan , M. Moscoso , A. Wacker

We theoretically study the real-space distribution of the supercurrent that flows under a uniform vector potential in a two-dimensional quasiperiodic structure. This is done by considering the attractive Hubbard model on the quasiperiodic…

Superconductivity · Physics 2023-11-23 Takumi Fukushima , Nayuta Takemori , Shiro Sakai , Masanori Ichioka , Anuradha Jagannathan

The electron transport through the triple-barrier resonant tunnelling diode (TBRTD) have been studied by the self-consistent numerical method for the Wigner-Poisson problem. The electron flow through the TBRTD can be controlled by the gate…

Mesoscale and Nanoscale Physics · Physics 2011-03-03 P. Wojcik , B. J. Spisak , M. Woloszyn , J. Adamowski

We develop a theory of current-voltage (I-U) characteristics for superconductor-normal metal-superconductor (SNS) junctions. At small voltages and sufficiently low temperatures the I-U characteristics of the junction is controlled by the…

Superconductivity · Physics 2022-12-13 T. Liu , A. V. Andreev , B. Z. Spivak

Making use of the Bogoliubov-de Gennes equation, we study the quasi-particle spectrum and the vortex core structure of a single vortex in quasi 2D s-wave superconductors for small p_F xi_0, where p_F is the Fermi momentum and…

Superconductivity · Physics 2009-10-31 Masaru Kato , Kazumi Maki

The effect of non-magnetic impurities on 2D s-wave superconductors is studied beyond the weak disorder regime. Within the Bogoliubov-de Gennes (BdG) framework, the local pairing amplitude develops a broad distribution with significant…

Superconductivity · Physics 2009-10-31 Amit Ghosal , Mohit Randeria , Nandini Trivedi

Motivated by a recent experimental observation of superconductivity in the Al-Zn-Mg quasicrystal, we study the low-temperature behavior of electrons moving in the quasiperiodic potential of the Ammann-Beenker tiling in the presence of a…

Superconductivity · Physics 2019-07-12 Ronaldo N. Araújo , Eric C. Andrade

We examine universal conductance fluctuations (UCFs) in mesoscopic normal-superconducting-normal (N-S-N) structures using a numerical solution of the Bogoliubov - de Gennes equation. We discuss two cases depending on the presence (``open''…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tero T. Heikkila , Martti M. Salomaa , C. J. Lambert

We study the tunneling effect in an AIII-class insulator proximity coupled with a spin-singlet $s$-wave superconductor, in which three phases are characterized by the integer topological invariant $\mathcal{N}$. By solving the Bogoliubov-de…

Superconductivity · Physics 2020-04-06 Ryoi Ohashi , Yukio Tanaka , Keiji Yada

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

The dc conductance of normal-superconducting hybrid structures is discussed. It is shown that since the Bogoliubov-DeGennes (BDG) equation does not conserve charge, its application to create a Landauer-type approach for the conductance of…

Superconductivity · Physics 2009-11-13 O. Entin-Wohlman , Y. Imry , A. Aharony

We consider a combined nanomechanical-supercondcuting device that allows the Cooper pair tunneling to interfere with the mechanical motion of the middle superconducting island. Coupling of mechanical oscillations of a superconducting island…

Mesoscale and Nanoscale Physics · Physics 2008-08-06 J. Fransson , J. -X. Zhu , A. V. Balatsky

On the basis of the Bogolubov-de Gennes theory we develop an analytical description of low-energy extended quasiparticle states around an isolated flux line in a superconductor with gap nodes. The wavefunctions of these excitations and the…

Superconductivity · Physics 2009-10-31 A. S. Mel'nikov

The origin of the vortex-core states in s-wave and d_{x^2-y^2}-wave superconductors is investigated by means of some selected numerical experiments. By relaxing the self-consistency condition in the Bogoliubov-de Gennes equations and tuning…

Superconductivity · Physics 2007-05-23 C. Berthod

Using the Gorkov equations, we provide an exact solution for a one-dimensional model of superconductivity in the presence of a conical helicoidal exchange field. Due to the special type of symmetry of the system, the superconducting…

Superconductivity · Physics 2019-01-10 Hao Meng , A. V. Samokhvalov , A. I. Buzdin

In a recent Letter Morita, Kohmoto and Maki analyzed the structure of quasiparticle states near a single vortex in a d-wave superconductor using an approximate version of the Bogoliubov - de Gennes theory. Their principal result is the…

Superconductivity · Physics 2009-10-30 M. Franz , M. Ichioka

The two-component model of high temperature superconductors in its real space version has been solved using Bogoliubov-de Gennes equations. The disorder in the electron and boson subsystem has been taken into account. It strongly modifies…

Superconductivity · Physics 2015-05-19 J. Krzyszczak , T. Domanski , K. I. Wysokinski , R. Micnas , S. Robaszkiewicz