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We study mesoscopic fluctuations of the conductance through a quantum dot at the wings of the Coulomb blokade peaks. At low temperatures, the main mechanism of conduction is the elastic cotunneling. The conductance strongly fluctuates with…

Condensed Matter · Physics 2009-10-28 I. L. Aleiner , L. I. Glazman

An ordinary differential operator of the fourth order with coefficients converging at infinity sufficiently rapidly to constant limits is considered. Scattering theory for this operator is developed in terms of special solutions of the…

Spectral Theory · Mathematics 2008-02-05 D. R. Yafaev

We use a density functional theoretical approach to calculate the pair distribution function and the effective interactions in homogeneous fluids of spinless charged bosons. The scheme involves the self-consistent solution of a two-particle…

Soft Condensed Matter · Physics 2009-11-07 B. Davoudi , R. Asgari , M. Polini , M. P. Tosi

We study the most general continuous transformation on the generators of bilinear master equations of a quantum oscillator. We find that transformation operators that preserve the hermiticity of density operators and conserve the…

Quantum Physics · Physics 2017-02-23 B. A. Tay

We derive an effective 1D theory from the Hamiltonian of the 3D system which consists of a mesoscopic conductor and reservoirs. We assume that the many-body interaction have the same magnitude in the conductor as that in the reservoirs, in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Akira Shimizu , Takayuki Miyadera

In the late seventies an increasing interest in the scaling theory of Anderson localization led to new efforts to understand the conductance of systems which scatter electrons elastically. The conductance and its relation to the scattering…

Mesoscale and Nanoscale Physics · Physics 2010-07-05 Markus Büttiker , Michael Moskalets

We report a fully microscopic theory for transconductivity, or, equivalently, momentum transfer rate, of Coulomb coupled electron systems. We use the Kubo linear response formalism, and our main formal result expresses the transconductivity…

Condensed Matter · Physics 2009-10-28 Karsten Flensberg , Ben Yu-Kuang Hu , Antti-Pekka Jauho , Jari M. Kinaret

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

Superconductivity · Physics 2007-05-23 Artur Sowa

A theoretical investigation of quantum-transport phenomena in mesoscopic systems is presented. In particular, a generalization to ``open systems'' of the well-known semiconductor Bloch equations is proposed. The presence of spatial boundary…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Fausto Rossi , Aldo Di Carlo , Paolo Lugli

We study two-point functions of symmetric traceless local operators in the bulk of de Sitter spacetime. We derive the K\"all\'en-Lehmann spectral decomposition for any spin and show that unitarity implies its spectral densities are…

High Energy Physics - Theory · Physics 2025-07-10 Manuel Loparco , Joao Penedones , Kamran Salehi Vaziri , Zimo Sun

In this work we exploit the integrability of the two-lead Anderson model to compute transport properties of a quantum dot, in and out of equilibrium. Our method combines the properties of integrable scattering together with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert Konik , Hubert Saleur , Andreas Ludwig

In mesoscopic systems to study the role of inelastic scattering on the phase coherent motion of electrons two phenomenological models have been proposed. In the first one, due to B\"uttiker, one adds a voltage probe into the system (or in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 T. P. Pareek , Sandeep K. Joshi , A. M. Jayannavar

We point out a general argument leading from the formula for currents through an open mesoscopic system given by the theory of non-equilibrium steady states (NESS) to the Landauer-B\"uttiker formula.

Mathematical Physics · Physics 2007-05-23 G. Nenciu

We study discrete magnetic random Schr\"odinger operators on the square and honeycomb lattice. For the non-random magnetic operator on the hexagonal lattice with any rational magnetic flux, we show that the middle two dispersion surfaces…

Mathematical Physics · Physics 2021-01-25 Simon Becker , Rui Han

In this article, we propose a Lyapunov stability approach to analyze the convergence of the density operator of a quantum system. In contrast to many previously studied convergence analysis methods for invariant density operators which use…

Optimization and Control · Mathematics 2018-01-29 Muhammad F. Emzir , Ian R. Petersen , Matthew J. Woolley

We present a theory for Coulomb drag between two mesoscopic systems. Our formalism expresses the drag in terms of scattering matrices and wave functions, and its range of validity covers both ballistic and disordered systems. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Karsten Flensberg , Antti-Pekka Jauho

We first introduce and discuss density operator interpretations of quantum theory as a special case of a more general class of interpretations, giving special attention to a version that we call the `atomic version'. We then review some…

Quantum Physics · Physics 2007-05-23 Guido Bacciagaluppi , Michael Dickson

We derive the exact solution of the Boltzmann kinetic equation for the three-dimensional Lorentz model in the presence of a constant and uniform magnetic field. The velocity distribution of the electrons reduces exponentially fast to its…

Statistical Mechanics · Physics 2009-11-11 F. Cornu , J. Piasecki

We show that the two-dimensional structure of a rigidly rotating self-gravitating body is accessible with relatively good precision by assuming a purely spheroidal stratification. With this hypothesis, the two-dimensional problem becomes…

Solar and Stellar Astrophysics · Physics 2024-02-14 Clément Staelen , Jean-Marc Huré

Disorder-induced spectral correlations of mesoscopic quantum systems in the non-diffusive regime and their effect on the magnetic susceptibility are studied. We perform impurity averaging for non-translational invariant systems by combining…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Edward McCann , Klaus Richter