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We discuss the Luttinger Liquid behaviour of a semiconducting Quantum Wire. We show that the measured value of the bulk critical exponent, $\alpha_{bulk}$, for the tunneling density of states can be easily calculated. Then, the problem of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 S. Bellucci , P. Onorato

Transport of single-channel spinless interacting fermions (Luttinger liquid) through a barrier has been studied by numerically exact quantum Monte Carlo methods. A novel stochastic integration over the real-time paths allows for direct…

Condensed Matter · Physics 2009-10-28 Kevin Leung , Reinhold Egger , C. H. Mak

Spin-orbit interaction couples electron spins to electric fields and allows electrical monitoring of electron spins and electrical detection of spin dynamics. Competing mechanisms of spin-orbit interaction are compared, and optimal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Emmanuel I. Rashba

We report a new electron interaction effect in GaAs/AlGaAs quantum wires. Using DC-bias spectroscopy, we show that large and abrupt changes occur to the energies of spin-down (lower energy) states as they populate. The effect is not…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. C. Graham , M. Pepper , M. Y. Simmons , D. A. Ritchie

Relaxation of a non-equilibrium state in a disordered metal with a spin-dependent electron energy distribution is considered. The collision integral due to the electron-electron interaction is computed within the approximation of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. V. Dimitrova , V. E. Kravtsov

We develop a theory of thermal transport of weakly interacting electrons in quantum wires. Unlike higher-dimensional systems, a one-dimensional electron gas requires three-particle collisions for energy relaxation. The fastest relaxation is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Alex Levchenko , Tobias Micklitz , Zoran Ristivojevic , K. A. Matveev

Pairing of electrons is ubiquitous in electronic systems featuring attractive inter-electron interactions, as exemplified in superconductors. Counter-intuitively, it can also be mediated in certain circumstances by the repulsive Coulomb…

We have studied low-temperature properties of interacting electrons in a one-dimensional quantum wire (Luttinger liquid) side-hybridized with a single-level impurity. The hybridization induces a back-scattering of electrons in the wire…

Strongly Correlated Electrons · Physics 2009-04-29 Igor V. Lerner , Vladimir I. Yudson , Igor V. Yurkevich

We study the spin-dependent electronic transport through a one-dimensional ballistic quantum wire in the presence of Rashba spin-orbit interaction. In particular, we consider the effect of the spin-orbit interaction resulting from the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. E. Birkholz , V. Meden

We analyze the charge and thermal transport at a junction of interacting quantum wires close to equilibrium. Within the framework of Tomonaga-Luttinger liquids, we compute the thermal conductance for a wide class of boundary conditions and…

Mesoscale and Nanoscale Physics · Physics 2022-01-24 D. Giuliano , A. Nava , R. Egger , P. Sodano , F. Buccheri

We show that interference experiments can be used to identify the spin-incoherent regime of strongly interacting one-dimensional conductors. Two qualitative signatures of spin-incoherence are found: a strong magnetic field dependence of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Kindermann , P. W. Brouwer , A. J. Millis

Effects of the electron-electron interaction on tunneling into a metal in ultra-high magnetic field (ultra-quantum limit) are studied. The range of the interaction is found to have a decisive effect both on the nature of the field-induced…

Strongly Correlated Electrons · Physics 2007-10-30 Shan-Wen Tsai , D. L. Maslov , L. I. Glazman

We study the effect that resistive regions have on the conductance of a quantum wire with interacting electrons which is connected to Fermi liquid leads. Using the bosonization formalism and a Rayleigh dissipation function to model the…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Abhiram Soori , Diptiman Sen

We determine the spin exchange coupling J between two electrons located in two vertically tunnel-coupled quantum dots, and its variation when magnetic (B) and electric (E) fields (both in-plane and perpendicular) are applied. We predict a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Guido Burkard , Georg Seelig , Daniel Loss

We compute the electron spin resonance (ESR) intensity for one-dimensional quantum wires in semiconductor heterostructures, taking into account electron-electron interactions and spin-orbit coupling. The ESR spectrum is shown to be very…

Strongly Correlated Electrons · Physics 2012-09-27 A. De Martino , R. Egger

We study electron transport in quasi-one-dimensional wires at relatively weak electrostatic confinements, where the Coulomb interaction distorts the ground state, leading to the bifurcation of the electronic system into two rows. Evidence…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 L. W. Smith , W. K. Hew , K. J. Thomas , M. Pepper , I. Farrer , D. Anderson , G. A. C. Jones , D. A. Ritchie

We theoretically investigate transport signatures of quantum interference in highly symmetric double quantum dots in a parallel geometry and demonstrate that extremely weak symmetry-breaking effects can have a dramatic influence on the…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Zeng-Zhao Li , Martin Leijnse

An exact solution is derived for the wave function of an electron in a semiconductor quantum wire with spin-orbit interaction and driven by external time dependent harmonic confining potential. The formalism allows analytical expressions…

Quantum Physics · Physics 2015-06-11 T. Cadez , J. H. Jefferson , A. Ramsak

We develop a detailed theory for spin transport in a one-dimensional quantum wire described by Luttinger liquid theory. A hydrodynamic description for the quantum wire is supplemented by boundary conditions taking into account the exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Reinhold Egger

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. Kleimann , M. Sassetti , B. Kramer
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