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We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger liquids is relevant and fascinating and review some…

Strongly Correlated Electrons · Physics 2009-10-31 Sumathi Rao

We present a theory of tunneling and resonant transitions in one-dimensional molecular systems which is based on Green's function theory of electron sub-barrier scattering off the structural units (or functional groups) of a molecular…

Other Condensed Matter · Physics 2007-05-23 I. I. Oleynik , M. A. Kozhushner , V. S. Posvyanskii

The conductance of systems containing two tunnel point-contacts and a single subsurface scatterer is investigated theoretically. The problem is solved in the approximation of s-wave scattering giving analytical expressions for the wave…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 N. V. Khotkevych , Yu. A. Kolesnichenko , J. M. van Ruitenbeek

We extend the Landauer-B\"uttiker probe formalism for conductances to the high bias regime, and study the effects of environmentally-induced elastic and inelastic scattering on charge current in single molecule junctions, focusing on…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Michael Kilgour , Dvira Segal

We review recent theoretical and experimental progresses in the coherent multiple scattering of weakly interacting disordered Bose gases. These systems have allowed, in the recent years, a characterization of weak and strong localization…

Quantum Gases · Physics 2021-06-22 Nicolas Cherroret , Thibault Scoquart , Dominique Delande

The influence of spin-orbit coupling in two-dimensional systems is investigated within the framework of the Landauer-Buettiker coherent scattering formalism. This formalism usually deals with spin-independent stationary states and,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 G. Feve , W. D. Oliver , M. Aranzana , Y. Yamamoto

Microscopic theory of counting statistics of electrical noise is reviewed. We discuss a model of passive charge detector based on current fluctuations coupled to a spin, and its relation with the theory of photon counting in quantum optics.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. S. Levitov

We investigate the current shot noise at a three terminal node in which one of the branches contains a noise generating source and the correlations are measured between the currents flowing through the other two branches. Interestingly, if…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Valentin S. Rychkov , Markus Buttiker

We calculate analytically the Floquet scattering matrix for a periodically driven double-barrier structure. Our approach takes into account dynamical effects which become necessarily important when electrons propagate through a system…

Mesoscale and Nanoscale Physics · Physics 2008-07-18 M. Moskalets , M. Buttiker

Current noise provides useful information on correlations important for transport properties of mesoscopic systems. Of particular interest, both experimentally and theoretically, are heterostructures of normal metals and superconductors. We…

Superconductivity · Physics 2017-08-23 W. Belzig , J. Boerlin , C. Bruder , Yu. V. Nazarov

We present fluctuation relations that connect spin-polarized current and noise in mesoscopic conductors. In linear response, these relations are equivalent to the fluctuation-dissipation theorem that relates equilibrium current--current…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 Jong Soo Lim , David Sanchez , Rosa Lopez

It is possible to fabricate mesoscopic structures where at least one of the dimensions is of the order of de Broglie wavelength for cold electrons. By using semiconductors, composed of more than one material combined with a metal slip-gate,…

Quantum Physics · Physics 2017-08-23 B. Nilsson

We formulate a general path integral approach which describes statistics of current fluctuations in mesoscopic coherent conductors at arbitrary frequencies and in the presence of interactions. Applying this approach to the non-interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. S. Golubev , A. V. Galaktionov , A. D. Zaikin

We present a calculation of current-induced torques in metallic magnetic multilayers derived from the spin-dependent transmission and reflection properties of the magnetic layers. A scattering formalism is employed to calculate the torques…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Xavier Waintal , Edward B. Myers , Piet W. Brouwer , D. C. Ralph

We present an expression for the shot noise power spectral density in quasi-one dimensional conductors electrostatically controlled by a gate electrode, that includes the effects of Coulomb interaction and of Pauli exclusion among charge…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Alessandro Betti , Gianluca Fiori , Giuseppe Iannaccone

We calculate the tunneling process of a Dirac particle across two square barriers separated a distance $d$, as well as the scattering by a double cusp barrier where the centers of the cusps are separated a distance larger than their…

Quantum Physics · Physics 2015-05-18 Victor M. Villalba , Luis Gonzalez-Arraga

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

A square lattice of mesoscopic resistors is considered. Each bond is modeled as a narrow waveguide, while junctions are sources of elastic scattering given by a scattering matrix \mathbf{S}. Symmetry and unitarity constraints are used in a…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 Oliwier Urbański

We consider a phase-coherent system of two parallel quantum wires that are coupled via a tunneling barrier of finite length. The usual perturbative treatment of tunneling fails in this case, even in the diffusive limit, once the length L of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel Boese , Michele Governale , A. Rosch , U. Zuelicke

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
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