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We study resonant tunneling in a Luttinger liquid with a double barrier enclosing a dot region. Within a microscopic model calculation the conductance G as a function of temperature T is determined over several decades. We identify…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Meden , T. Enss , S. Andergassen , W. Metzner , K. Schoenhammer

Luttinger liquids occupy a special place in physics as the most understood case of essentially quantum many-body systems. The experimental mission of measuring its main prediction, power laws in observable quantities, has already produced a…

We compute the transport properties of one dimensional interacting electrons, also known as a Luttinger liquid. We show that a renormalization group study allows to obtain the temperature dependence of the conductivity in an intermediate…

Strongly Correlated Electrons · Physics 2015-06-24 T. Giamarchi , T. Nattermann , P. Le Doussal

We explore the low-frequency noise of interacting electrons in a one-dimensional structure (quantum wire or interaction-coupled edge states) with counterpropagating modes, assuming a single channel in each direction. The system is driven…

Strongly Correlated Electrons · Physics 2015-10-20 J. K. Kühne , I. V. Protopopov , Y. Oreg , A. D. Mirlin

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 the transport properties of a quantum wire, described by the Tomonaga-Luttinger model, in the presence of a backscattering potential provided by several extended time-dependent impurities (barriers). Employing the B\"…

Strongly Correlated Electrons · Physics 2010-07-08 D. Makogon , V. Juricic , C. Morais Smith

A novel method for detecting Luttinger-liquid behavior is proposed. The idea is to measure the tunneling conductance between a quantum wire and a parallel two-dimensional electron system as a function of both the potential difference…

Strongly Correlated Electrons · Physics 2009-10-31 Alexander Altland , C. H. W. Barnes , F. W. J. Hekking , A. J. Schofield

The problem of a single impurity in one dimensional Tomonaga-Luttinger liquids with a repulsive electron-electron interaction is discussed. We find that the renormalization group flow diagram for the parameters characterizing the impurity…

Condensed Matter · Physics 2017-02-08 Yuval Oreg , Alexander M. Finkel'stein

Using bosonization and path integral methods, we study general low temperature behavior of non-magnetic and magnetic impurity scattering in Tomonaga-Luttinger liquid, and calculate electron Green function for a general backward scattering…

Condensed Matter · Physics 2009-10-31 Yu-Liang Liu

The current noise of a voltage biased interacting quantum wire adiabatically connected to metallic leads is computed in presence of an impurity in the wire. We find that in the weak backscattering limit the Fano factor characterizing the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Trauzettel , I. Safi , F. Dolcini , H. Grabert

We study the transport properties of a double quantum dot (DQD) molecule at zero and at finite temperature. The properties of the zero temperature conductance depends on whether the level attraction between the symmetric and antisymmetric…

Mesoscale and Nanoscale Physics · Physics 2007-07-26 Laszlo Oroszlany , Andor Kormanyos , Janos Koltai , Jozsef Cserti , Colin Lambert

We discuss in more details the theory of low energy excitations in quantum impurity problems with an external field at vanishing temperature, giving further support to results of the previous paper. We then extend these results to the next…

Condensed Matter · Physics 2009-10-28 F. Lesage , H. Saleur

We analyze the short-time behavior of the heat and charge currents through nanoscale conductors exposed to a temperature gradient. To this end, we employ Luttinger's thermomechanical potential to simulate a sudden change of temperature at…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 F. G. Eich , M. Di Ventra , G. Vignale

We use the non-equilibrium Green's function formalism along with a self-consistent Hartree-Fock approximation to numerically study the effects of a single impurity and interactions between the electrons (with and without spin) on the…

Strongly Correlated Electrons · Physics 2009-11-11 Amit Agarwal , Diptiman Sen

The low-temperature regime of charge-qubit decoherence due to its Coulomb interaction with electrons tunneling through Luttinger liquid quantum-point contact (QPC) is investigated. The study is focused on quantum detector properties of…

Strongly Correlated Electrons · Physics 2018-09-27 Gleb A. Skorobagatko

Tunneling spectroscopy of one-dimensional interacting wires can be profoundly sensitive to the boundary conditions of the wire. Here, we analyze the tunneling spectroscopy of a wire coupled to capacitive metallic leads. Strikingly, with…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Antonio Štrkalj , Michael S. Ferguson , Tobias M. R. Wolf , Ivan Levkivskyi , Oded Zilberberg

We study non-equilibrium electron transport through a quantum impurity coupled to metallic leads using the equation of motion technique at finite temperature T. Assuming that the interactions are taking place solely in the impurity and…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 C. A. Balseiro , Gonzalo Usaj , M. J. Sanchez

Recent experiments have studied the tunneling current between the edges of a fractional quantum Hall liquid as a function of temperature and voltage. The results of the experiment are puzzling because at "high" temperature (600-900 mK) the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Giovanni Vignale , Roberto Raimondi

We discuss the conductance of a Luttinger liquid interrupted by a quantum dot containing a single resonant level. Using bosonisation and re-fermionisation methods, we find a mapping to a Kondo-type problem which possesses a non-trivial…

Strongly Correlated Electrons · Physics 2009-11-07 A. Komnik , A. O. Gogolin

The persistent current and charge stiffness of a one-dimensional Luttinger liquid on a ring threaded by a magnetic flux are calculated by Monte Carlo simulation. By changing the random impurity potential strength and the electron-electron…

Condensed Matter · Physics 2009-10-22 Hiroyuki Mori