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We investigate the indirect interaction between two isolated impurities in a Luttinger liquid described by a microscopic lattice model. To treat the electron-electron interaction U the functional renormalization group method is used. For…

Strongly Correlated Electrons · Physics 2009-11-13 P. Waechter , V. Meden , K. Schoenhammer

We establish the existence of an exact non-perturbative self-duality in a variety of quantum impurity problems, including the Luttinger liquid or quantum wire with impurity. The former is realized in the fractional quantum Hall effect,…

Statistical Mechanics · Physics 2009-10-31 P. Fendley , H. Saleur

We show that the non-linear dc transport in a Luttinger liquid with interaction of finite range in the presence of an impurity is governed by a sum rule which causes the charging energy to vanish.

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Gianaurelio Cuniberti , Maura Sassetti , Bernhard Kramer

The conductance G of an interacting nano-wire containing an impurity and coupled to non-interacting semi-infinite leads is studied using a functional renormalization group method. We obtain results for microscopic lattice models without any…

Strongly Correlated Electrons · Physics 2009-11-10 V. Meden , S. Andergassen , W. Metzner , U. Schollwoeck , K. Schoenhammer

We show that the scaling exponent for tunneling into a quantum wire in the "Coulomb Tonks gas" regime of impenetrable, but otherwise free, electrons is affected by impurity scattering in the wire. The exponent for tunneling into such a wire…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Kindermann

A Luttinger Liquid coupled to a quantum impurity describes a large number of physical systems. The Hamiltonian consists of left- and right-moving fermions interacting among themselves via a density-density coupling and scattering off a…

Strongly Correlated Electrons · Physics 2019-03-13 Colin Rylands , Natan Andrei

We consider the ballistic transport of quasiparticles with exclusion statistics through a 1D wire within the Landauer-Buttiker approach. We demonstrate that quasiparticle transport coefficients (electrical and heat conductance, as well as…

Condensed Matter · Physics 2009-10-31 I. V. Krive , E. R. Mucciolo

Despite topological protection and the absence of magnetic impurities, two-dimensional topological insulators display quantized conductance only in surprisingly short channels, which can be as short as 100 nm for atomically thin materials.…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Pietro Novelli , Fabio Taddei , Andre K. Geim , Marco Polini

We generalize nonlinear Luttinger liquid theory to describe the dynamics of one-dimensional quantum critical systems at low temperatures. Analyzing density-matrix renormalization group results for the spin autocorrelation function in the…

Strongly Correlated Electrons · Physics 2015-10-06 C. Karrasch , R. G. Pereira , J. Sirker

We calculate the linear response conductance of electrons in a Luttinger liquid with arbitrary interaction g_2, and subject to a potential barrier of arbitrary strength, as a function of temperature. We first map the Hamiltonian in the…

Strongly Correlated Electrons · Physics 2008-04-18 D. N. Aristov , P. Woelfle

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

The linear conductance of a tunnel junction in series with an ohmic resistor is determined in the high temperature limit. The tunneling current is treated nonperturbatively by means of path integral techniques. Due to quantum effects the…

Condensed Matter · Physics 2008-02-03 Georg Goeppert , Xiaohui Wang , Hermann Grabert

We consider a linearly-dispersing quantum impurity interacting through a contact density-density term with a one-dimensional (1D) superfluid described by the Tomonaga-Luttinger liquid theory. Using a linked cluster expansion we characterize…

Strongly Correlated Electrons · Physics 2024-04-26 Lorenzo Gotta , Thierry Giamarchi

We consider a one-channel coherent conductor with a good transmission embedded into an ohmic environment whose impedance is equal to the quantum of resistance R_q=h/e^2 below the RC frequency. This choice is motivated by the mapping of this…

Mesoscale and Nanoscale Physics · Physics 2012-03-20 R. Zamoum , A. Crepieux , I. Safi

We consider resonant transmission through a finite-length quantum wire connected to leads via finite transparency junctions. The coherent electron transport is strongly modified by the Coulomb interaction. The low-temperature…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. B. Kopnin , Y. M. Galperin , V. M. Vinokur

Strange metals are highly entangled gapless states of matter that exhibit anomalous transport, such as linear in temperature resistivity, over more than a decade of temperature. Why a single power law should be so robust is an open…

Strongly Correlated Electrons · Physics 2025-11-18 Yen-Wen Lu , Michael Mulligan

A general nonperturbative theory of the low-energy electron propagator is developed and used to calculate the single-particle density of states in a variety of systems. This method involves the decoupling of the electron-electron…

Strongly Correlated Electrons · Physics 2008-09-17 Kelly R. Patton

A low energy crossover (see cond-mat/9711167) induced by Fermi liquid reservoirs in transport through a 1D Mott-Hubbard insulator of finite length $L$ is examined in the presence of impurity pinning. Under the assumption that the Hubbard…

Condensed Matter · Physics 2009-10-31 Vadim Ponomarenko , Naoto Nagaosa

We study the transport through a quantum dot coupled to two leads by single-mode point contacts. The linear conductance is calculated analytically as a function of a gate voltage and temperature T in the case when transmission coefficients…

Condensed Matter · Physics 2009-10-28 A. Furusaki , K. A. Matveev

We study quantum transport in Q1D wires made of a 2D conductor of width W and length L>>W. Our aim is to compare an impurity-free wire with rough edges with a smooth wire with impurity disorder. We calculate the electron transmission…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 J. Feilhauer , M. Mosko
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