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We study transport properties of weakly interacting one-dimensional electron systems including on an equal footing thermal equilibration due to three-particle collisions and the effects of large-scale inhomogeneities. We show that…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Alex Levchenko , Tobias Micklitz , Jerome Rech , K. A. Matveev

A system of an array of side-coupled quantum-dots attached to a quantum wire is studied theoretically. Transport through the quantum wire is investigated by means of a noninteracting Anderson tunneling Hamiltonian. Analytical expressions of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. A. Orellana , F. Dominguez-Adame , E. Diez

We investigate coherent multiple scattering effects in the random quantum kicked rotor model. By changing the starting time of the Floquet period, two new classes of models can be introduced that exhibit similar interference structures. For…

We investigate the effect of strong interactions on the spectral properties of quantum wires with strong Rashba spin-orbit interaction in a magnetic field, using a combination of Matrix Product State and bosonization techniques. Quantum…

Strongly Correlated Electrons · Physics 2017-06-07 Georg W. Winkler , Martin Ganahl , Dirk Schuricht , Hans Gerd Evertz , Sabine Andergassen

We investigate transport through a finite interacting wire connected to noninteracting leads. The conductance of the pure wire is not renormalized by the interactions for any spatial variation of the interaction parameters $u,K$, and not…

Condensed Matter · Physics 2007-05-23 I. Safi , H. J. Schulz

We consider the dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect. Using perturbation theory, we show that this rate has an anomalous dependence on the bias…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thi Kim Thanh Nguyen , Adeline Crepieux , Thibaut Jonckheere , Ai Viet Nguyen , Yeoshua Levinson , Thierry Martin

We examine the effect of interactions between the electrons on the conductances of some systems of quantum wires with different geometries. The systems include a wire with a stub in the middle, a wire containing a ring which can enclose a…

Strongly Correlated Electrons · Physics 2007-12-03 Sourin Das , Sumathi Rao , Diptiman Sen

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

Scattering off a potential is a fundamental problem in quantum physics. It has been studied extensively with amplitudes derived for various potentials. In this article, we explore a setting with no potentials, where scattering occurs off a…

Quantum Gases · Physics 2025-04-21 Eric Tan , R. Ganesh

We consider a weakly interacting finite wire with short and long range interactions. The long range interactions enhance the $4k_{F}$ scattering and renormalize the wire to a strongly interacting limit. For large screening lengths, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. Schmeltzer , A. Kuklov , M. Malard

We generalize the bosonization methods for systems in the half line that we discussed elsewhere, to study the effects of interactions on electronic systems coupled to impurities. We introduce a model for a quantum wire coupled with a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ana Lopez , Manuel Fuentes , Eduardo Fradkin

We calculate the linear and nonlinear conductance of spinless fermions in clean, long quantum wires where short-ranged interactions lead locally to equilibration. Close to the quantum phase transition where the conductance jumps from zero…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 T. Micklitz , A. Levchenko , A. Rosch

Scattering of carriers between spatially separated zero dimensional states has been observed in a system of self-assembled In_{0.55}Al_{0.45}As quantum dots. We believe the interdot tunneling is mediated by localized states below the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. D. Robinson , B. B. Goldberg , J. L. Merz

Electron scattering on both neutral ($X$) and charged ($X^-$) excitons in quantum wells is studied theoretically. A microscopic model is presented, taking into account both elastic and dissociating scattering. The model is based on…

Condensed Matter · Physics 2009-11-07 G. Ramon , A. Mann , E. Cohen

We investigate a one--dimensional wire of interacting electrons connected to one--dimensional noninteracting leads in the absence and in the presence of a backscattering potential. The ballistic wire separates the charge and spin parts of…

Strongly Correlated Electrons · Physics 2009-10-31 Inès Safi , H. J. Schulz

We present theoretical results for the backaction force noise and damping of a mechanical oscillator whose position is measured by a mesoscopic conductor. Our scattering approach is applicable to a wide class of systems; in particular, it…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 Steven D. Bennett , Jesse Maassen , Aashish A. Clerk

We investigate the spin relaxation of $p$-type GaAs quantum wires by numerically solving the fully microscopic kinetic spin Bloch equations. We find that the quantum-wire size influences the spin relaxation time effectively by modulating…

Materials Science · Physics 2008-10-24 C. Lü , U. Zülicke , M. W. Wu

We investigate the transport of interacting electrons through single-mode quantum wires whose parameters are periodically modulated on the scale of the electronic Fermi wave length. The Umklapp and backscattering of electrons can be…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Arkadi A. Odintsov , Yasuhiro Tokura , Seigo Tarucha

The nonlinear conductance of a one-dimensional quantum wire adiabatically coupled to Fermi Liquid electron reservoirs is determined in presence of an impurity. We show that electron-electron interaction in connection with the finite length…

Strongly Correlated Electrons · Physics 2007-05-23 Fabrizio Dolcini , Hermann Grabert , Ines Safi , Bjoern Trauzettel

It is well known that in the presence of a ring cavity the light scattering from a uniform atomic ensemble can become unstable resulting in the collective atomic recoil lasing. This is the result of a positive feedback due to the cavity. We…

Quantum Physics · Physics 2016-01-12 Denis A. Ivanov , Tatiana Yu. Ivanova , Igor B. Mekhov