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The temperature ($T$) and frequency ($\omega$) dependent conductivity of weakly disordered Luttinger liquids is calculated in a systematic way both by perturbation theory and from a finite temperature renormalization group (RG) treatment to…

Mesoscale and Nanoscale Physics · Physics 2008-06-24 Bernd Rosenow , Andreas Glatz , Thomas Nattermann

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

We study a quantum point contact in a quantum spin Hall insulator. It has recently been shown that the Luttinger liquid theory of such a structure maps to the theory of a weak link in a Luttinger liquid with spin with Luttinger liquid…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Jeffrey C. Y. Teo , C. L. Kane

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

We have measured the low temperature conductance of a one-dimensional island embedded in a single mode quantum wire. The quantum wire is fabricated using the cleaved edge overgrowth technique and the tunneling is through a single state of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. M. Auslaender , A. Yacoby , R. de Picciotto , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We consider heat transport in a Luttinger liquid (LL) with weak disorder and study the Lorenz number for this system. We start at a high-$T$ regime, and calculate both the electrical and thermal conductivities using a memory function…

Strongly Correlated Electrons · Physics 2009-11-07 Mei-Rong Li , E. Orignac

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 a finite quantum wire connected to external leads, and show that the conductance of the system significantly depends upon the length of the quantum wire and the position of the impurity in it. For a very long quantum wire and the…

Condensed Matter · Physics 2009-10-30 Yu-Liang Liu

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 have measured IV-curves of multiwalled carbon nanotubes using end contacts. At low voltages, the tunneling conductance obeys non-Ohmic power law, which is predicted both by the Luttinger liquid and the environment-quantum-fluctuation…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 R. Tarkiainen , M. Ahlskog , J. Penttilä , L. Roschier , P. Hakonen , M. Paalanen , E. Sonin

Luttinger liquid behavior was observed in a crossed junction formed with two metallic multi-wall carbon nanotubes whose differential conductance vanished with the power of bias voltage and temperature. With applying constant voltage or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jinhee Kim , Kicheon Kang , Jeong-O Lee , Kyung-Hwa Yoo , Jae-Ryoung Kim , Jong Wan Park , Hye Mi So , Ju-Jin Kim

We discuss the violation of spin-charge separation in generic nonlinear Luttinger liquids and investigate its effect on the relaxation and thermal transport of genuine spin-1/2 electron liquids in ballistic quantum wires. We identify basic…

Strongly Correlated Electrons · Physics 2015-06-23 Alex Levchenko

An interacting spinless fermion wire coupled to a three-dimensional (3D) semiconducting substrate is approximated by a narrow ladder model (NLM) with varying number of legs. We compute density distributions, gaps, charge-density-wave (CDW)…

Strongly Correlated Electrons · Physics 2018-12-26 Anas Abdelwahab , Eric Jeckelmann

In a one dimensional electron gas at low enough density, the magnetic (spin) exchange energy $J$ between neighboring electrons is exponentially suppressed relative to the characteristic charge energy, the Fermi energy $E_F$. At non-zero…

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

The transport properties of a tunnel barrier in a one-dimensional wire are investigated at finite voltages and temperatures. We generalize the Luttinger model to account for finite ranges of the interaction. This leads to deviations from…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Margit Steiner , Wolfgang Häusler

We introduce a new model for quasi one-dimensional materials, motivated by intriguing but not yet well-understood experiments that have shown two-dimensional polymer films to be promising materials for thermoelectric devices. We consider a…

Strongly Correlated Electrons · Physics 2017-03-08 Aaron Szasz , Roni Ilan , Joel E. Moore

Electron transport through a single-level quantum dot weakly coupled to Luttinger liquid leads is considered in the master equation approach. It is shown that for a weak or moderately strong interaction the differential conductance…

Strongly Correlated Electrons · Physics 2013-02-06 G. A. Skorobagatko , I. V. Krive

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 a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei

We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid…

Mathematical Physics · Physics 2014-06-16 F. Bonetto , V. Mastropietro