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The conductance for a single impurity in a one dimensional gas with electron-electron interaction and Zeeman splitting $v_F^\uparrow - v_F^\downarrow = \Delta \neq 0$ is considered. We find that for an extented Hubbard model,…

Strongly Correlated Electrons · Physics 2007-05-23 Hsuan-Yeh Chang , D. Schmeltzer

We consider theoretically the transport in a one-channel spinless Luttinger liquid with two strong impurities in the presence of dissipation. As a difference with respect to the dissipation free case, where the two impurities fully transmit…

Strongly Correlated Electrons · Physics 2015-05-13 Leiming Chen , Zoran Ristivojevic , Thomas Nattermann

We compute the DC conductance for a homogeneous sine-Gordon model and an impurity system of Luttinger liquid type by means of the thermodynamic Bethe ansatz and standard potential scattering theory. We demonstrate that unstable particles…

Condensed Matter · Physics 2007-05-23 O. A. Castro-Alvaredo , A. Fring

The single impurity problem in a spinful Tomonaga-Luttinger liquid is studied numerically using path-integral Monte Carlo methods. The advantage of our approach is that the system allows for extensive analyses of charge and spin conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuji Hamamoto , Ken-Ichiro Imura , Takeo Kato

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 show that the problem of impurity tunneling in a Luttinger liquid of electrons with spin is solvable in the spin isotropic case ($g_\sigma=2$, $g_\rho$ arbitrary). The resulting integrable model is similar to a two channel anisotropic…

Strongly Correlated Electrons · Physics 2009-10-30 F. Lesage , H. Saleur , P. Simonetti

We suggest an experiment to study Luttinger liquid behavior in a one-dimensional nanostructure, avoiding the usual complications associated with transport measurements. The proposed setup consists of a quantum box, biased by a gate voltage,…

Strongly Correlated Electrons · Physics 2007-05-23 Paata Kakashvili , Henrik Johannesson

We investigate the stability of conducting and insulating phases in multichannel Luttinger liquids with respect to embedding a single impurity. We devise a general approach for finding critical exponents of the conductance in the limits of…

Strongly Correlated Electrons · Physics 2017-05-24 V. Kagalovsky , I. V. Lerner , I. V. Yurkevich

Many fundamental one-dimensional lattice models such as the Heisenberg or the Hubbard model are integrable. For these microscopic models, parameters in the Luttinger liquid theory can often be fixed and parameter-free results at low…

Strongly Correlated Electrons · Physics 2012-08-14 J. Sirker

We devise an approach to the calculation of scaling dimensions of generic operators describing scattering within multi-channel Luttinger liquid. The local impurity scattering in an arbitrary configuration of conducting and insulating…

Strongly Correlated Electrons · Physics 2017-02-22 Igor V. Yurkevich

We analyze the transport properties of a Luttinger liquid with an imbedded impurity of explicitly time-dependent strength. We employ a radiative boundary condition formalism to describe the coupling to the voltage sources. Assuming the…

Strongly Correlated Electrons · Physics 2007-09-22 T. L. Schmidt , A. Komnik

A quantum Monte Carlo simulation method has been developed and applied to study the critical behavior of a single Kondo impurity in a Luttinger liquid. This numerically exact method has no finite-size limitations and allows to simulate the…

Strongly Correlated Electrons · Physics 2009-10-30 Reinhold Egger , Andrei Komnik

It is shown theoretically that the Luttinger liquid phase in quasi-one-dimensional conductors can exist in the presence of impurities in a form of a collection of bounded Luttinger liquids. The conclusion is based upon the observation by…

Strongly Correlated Electrons · Physics 2009-11-10 S. N. Artemenko

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Denis Morath , Nicholas Sedlmayr , Jesko Sirker , Sebastian Eggert

We develop a unified theoretical framework for the anisotropic Kondo model and the boundary sine-Gordon model. They are both boundary integrable quantum field theories with a quantum-group spin at the boundary which takes values,…

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

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 the low energy states of the Kondo alloy model (KAM) as function of the magnetic impurity concentration per site, x, and the conduction electron average site occupation, nc. In previous works, two different Fermi liquid regimes had…

Strongly Correlated Electrons · Physics 2019-09-04 Sébastien Burdin , Claudine Lacroix

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

In this work we exploit the integrability of the two-lead Anderson model to compute transport properties of a quantum dot, in and out of equilibrium. Our method combines the properties of integrable scattering together with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert Konik , Hubert Saleur , Andreas Ludwig

We study theoretically the transport through a single impurity in a one-channel Luttinger liquid coupled to a dissipative (ohmic) bath . For non-zero dissipation $\eta$ the weak link is always a relevant perturbation which suppresses…

Mesoscale and Nanoscale Physics · Physics 2008-07-04 Zoran Ristivojevic , Thomas Nattermann
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