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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

We study electronic transport through a one-dimensional, finite-length quantum wire of correlated electrons (Luttinger liquid) coupled at arbitrary position via tunnel barriers to two semi-infinite, one-dimensional as well as stripe-like…

Strongly Correlated Electrons · Physics 2015-05-13 P. Wächter , V. Meden , K. Schönhammer

We examine the local density of states of an impurity level or a quantum dot coupled to a fractional quantum Hall edge, or to the end of a single one-dimensional Luttinger-liquid lead. Effects of an Ohmic dissipative bath are also taken…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits

Luttinger liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter K. We suggest a setup…

Strongly Correlated Electrons · Physics 2007-10-23 P. Waechter , V. Meden , K. Schoenhammer

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

Recent experiments have revealed that the temperature dependence of the conductance of quasi-ballistic quantum wires bears clear features of the Luttinger-liquid state. In this paper, the conductance of an N-channel quantum wire is…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Nancy Sandler , Dmitrii L. Maslov

Power laws in physics have until now always been associated with a scale invariance originating from the absence of a length scale. Recently, an emergent invariance even in the presence of a length scale has been predicted by the…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Y. Jin , O. Tsyplyatyev , M. Moreno , A. Anthore , W. K. Tan , J. P. Griffiths , I. Farrer , D. A. Ritchie , L. I. Glazman , A. J. Schofield , C. J. B. Ford

We theoretically investigate transport in a spin incoherent one dimensional electron system, which may be realized in quantum wires at low electron density and finite temperature. Both the pure and disordered cases are considered, both in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Karyn Le Hur , Leon Balents

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study correlated two-level quantum dots, coupled in effective 1-channel fashion to metallic leads; with electron interactions including on-level and inter-level Coulomb repulsions, as well as the inter-orbital Hund's rule exchange…

Strongly Correlated Electrons · Physics 2009-10-05 David E. Logan , Christopher J. Wright , Martin R. Galpin

We investigate discrepancies between recent experimental results on transport through one-dimensional quantum dots and universal power laws predicted by an idealized Luttinger Liquid description. The temperature dependence of Coulomb…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Kleimann , J. Stockburger , M. Sassetti , B. Kramer

Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 K. A. Matveev , A. V. Andreev

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

We study Coulomb drag in a pair of parallel one-dimensional electron systems within the framework of the Tomanaga-Luttinger model. We find that Coulomb coupling has a much stronger effect on one dimensional wires than on two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rochus Klesse , Ady Stern

We study the way back-scattering electron--electron interaction generates Coulomb drag between quantum wires with different densities. At low temperature $T$ the system can undergo a commensurate-- incommensurate transition as the potential…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Thomas Fuchs , Rochus Klesse , Ady Stern

We study tunneling of weakly-interacting spinless electrons at zero temperature through a single delta-barrier in one-dimensional wires and rings of finite lengths. Our numerical calculations are based on the self-consistent Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Andrej Gendiar , Martin Mosko , Pavel Vagner , Radoslav Nemeth

We investigate the distribution of the electron density and the potential in a quantum wire coupled to reservoirs, treating this structure as a unified quantum system and taking into account the Coulomb interaction of electrons. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , S. V. Polyakov , M. Buttiker

Electron transport in a quantum wire with leads is investigated with actual Coulomb interaction taken into account. The latter includes both the direct interaction of electrons with each other and their interaction via the image charges…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , B. S. Shchamkhalova

The electron transport in a 1D conductor with an isolated local defect such as an impurity or a non-adiabatic contact is studied theoretically. New regime of conduction in correlated 1D systems is predicted beyond the well-known regime of…

Strongly Correlated Electrons · Physics 2015-10-01 S. N. Artemenko , P. P. Aseev , D. S. Shapiro , R. R. Vakhitov

The electrical current through an arbitrary junction connecting quantum wires of spinless interacting fermions is calculated in fermionic representation. The wires are adiabatically attached to two reservoirs at chemical potentials…

Strongly Correlated Electrons · Physics 2014-12-09 D. N. Aristov , P. Wölfle
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