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We analyse the transport phenomena of 2D quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S-matrix while the classical analysis is based on the motion of a…

Mesoscale and Nanoscale Physics · Physics 2009-02-05 R. G. Nazmitdinov , K. N. Pichugin , I. Rotter , P. Seba

We study quantum transport properties of finite periodic quasi-one-dimensional waveguides whose classical dynamics is diffusive. The system we consider is a scattering configuration, composed of a finite periodic chain of $L$ identical…

Statistical Mechanics · Physics 2012-01-18 Jaime Zuñiga Vukusich

We investigate the relation between the diagonal ($\sigma_{xx}$) and off-diagonal ($\sigma_{xy}$) components of the conductivity tensor in the quantum Hall system. We calculate the conductivity components for a short-range impurity…

Mesoscale and Nanoscale Physics · Physics 2009-08-06 Akira Endo , Naomichi Hatano , Hiroaki Nakamura , Ryoen Shirasaki

In a disordered mesoscopic system, the typical spacing between the peaks and the valleys of the conductance as a function of Fermi energy $E_F$ is called the conductance energy correlation range $E_c$. Under the ergodic hypothesis, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Božidar Jovanović , Ziqiang Wang

Ab-initio simulations of quantum transport commonly focus on a central region which is considered to be connected to infinite, periodic leads through which the current flows. The electronic structure of these distant leads is normally…

Materials Science · Physics 2009-11-11 H. Mera , P. Bokes , R. Godby

We study the ensemble-averaged conductance as a function of applied magnetic field for ballistic electron transport across few-channel microstructures constructed in the shape of classically chaotic billiards. We analyse the results of…

Condensed Matter · Physics 2015-06-25 Z. Pluhar , H. A. Weidenmueller , J. A. Zuk , C. H. Lewenkopf

We semiclassically derive the leading off-diagonal correction to the spectral form factor of quantum systems with a chaotic classical counterpart. To this end we present a phase space generalization of a recent approach for uniformly…

Chaotic Dynamics · Physics 2009-11-10 M. Turek , K. Richter

The conductance of disordered wires with symplectic symmetry is studied by a random-matrix approach. It has been shown that the behavior of the conductance in the long-wire limit crucially depends on whether the number of conducting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hiroshi Sakai , Yositake Takane

We extend previous studies on transport through ballistic chaotic cavities with spatial left-right (LR) reflection symmetry to include the presence of direct processes. We first analyze fully LR-symmetric systems in the presence of direct…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Martinez , P. A. Mello

We study transport through a one-dimensional quantum wire of correlated fermions connected to semi-infinite leads. The wire contains either a single impurity or two barriers, the latter allowing for resonant tunneling. In the leads the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Enss , V. Meden , S. Andergassen , X. Barnabe-Theriault , W. Metzner , K. Schoenhammer

The random magnetic flux problem on a lattice and in a quasi one-dimensional (wire) geometry is studied both analytically and numerically. The first two moments of the conductance are obtained analytically. Numerical simulations for the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christopher Mudry , P. W. Brouwer , Akira Furusaki

We study theoretically electronic transport through a normal metal-- superconductor (NS) interface and show that more than one conductance may be defined, depending on the pair of chemical potentials whose difference one chooses to relate…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Sols , J. Sánchez-Cañizares

We study the weak localization effect in quantum transport through a clean ballistic cavity with regular classical dynamics. We address the question which paths account for the suppression of conductance through a system where disorder and…

Mesoscale and Nanoscale Physics · Physics 2008-04-16 Iva Brezinova , Christoph Stampfer , Ludger Wirtz , Stefan Rotter , Joachim Burgdorfer

We present an experimental determination of the conduction channel distribution in lead nanoscale contacts with total conductances ranging from 1 to 15 G0, where G0=2e2/h. It is found that even for contacts having a cross section much…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. J. Riquelme , L. de la Vega , A. Levy Yeyati , N. Agrait , A. Martin-Rodero , G. Rubio-Bollinger

We consider the conductivity $\sigma_{xx}$ of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class $\sigma$-model including…

Mesoscale and Nanoscale Physics · Physics 2007-06-18 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Recently formulated integrable theory of quantum transport [Osipov and Kanzieper, Phys. Rev. Lett. 101, 176804 (2008); arXiv:0806.2784] is extended to describe sample-to-sample fluctuations of the noise power in chaotic cavities with broken…

Mesoscale and Nanoscale Physics · Physics 2009-11-04 Vladimir Al. Osipov , Eugene Kanzieper

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

Materials Science · Physics 2007-10-04 P. Bokes , J. Jung , R. W. Godby

We introduce a model for rectification in three-terminal ballistic conductors, where the central connecting node is modeled as a chaotic cavity. For bias voltages comparable to the Fermi energy, a strong nonlinearity is created by the…

Mesoscale and Nanoscale Physics · Physics 2008-02-28 Andrew N. Jordan , Markus Buttiker

We model the 2-probe conductance of a quantum point contact (QPC), in linear response. If the QPC is highly non-adiabatic or near to scatterers in the open reservoir regions, then the usual distinction between leads and reservoirs breaks…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. Barnett , M. Blaauboer , A. Mody , E. J. Heller

Theoretical treatments of tunneling in electronic devices are often based on one-dimensional (1D) approximations. Here we show that for many nanoscale devices, such as widely studied semiconductor gate-defined quantum dots, 1D…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 Mark Friesen , M. Y. Simmons , M. A. Eriksson