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The Luttinger liquid in which the concentration of electrons varies randomly with coordinate is considered. We study the fluctuations of the tunnel conductance, caused by the randomness in the concentration. If the concentration changes…

Condensed Matter · Physics 2009-10-28 A. Gramada , M. E. Raikh

Non-Hermitian physics in open quantum many-body systems provides novel opportunities for the discovery of exotic quantum phenomena unexpected in Hermitian systems. A previous study of the non-Hermitian Kondo problem in ultracold atoms…

Strongly Correlated Electrons · Physics 2023-07-19 SangEun Han , Daniel J. Schultz , Yong Baek Kim

By a mix of form-factors and analyticity techniques, we determine some fundamental scattering amplitudes in non-Fermi liquid systems. These include the reflection and transmission amplitudes for Laughlin quasiparticles at a point contact…

Strongly Correlated Electrons · Physics 2009-11-10 A. Koutouza , F. Lesage , H. Saleur

We develop a theory of tunneling spectroscopy of interacting electrons in a non-equilibrium quantum wire coupled to reservoirs. The problem is modelled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We study four-lead junction of semi-infinite wires by using fermionic representation in the scattering state formalism. The model of spinless fermions with short-range Luttinger liquid type interaction is used. We find the renormalization…

Strongly Correlated Electrons · Physics 2015-11-10 D. N. Aristov , R. A. Niyazov

We consider conditions for existence of fermionic quasiparticles in a strongly anisotropic quasi-one-dimensional metal. The adopted model is a model of chains of spin-1/2 Luttinger liquid coupled by small interchain hopping. It is shown…

Condensed Matter · Physics 2008-02-03 A. M. Tsvelik

Using a fermionic renormalization group method we present a simple real space picture of the strong influence an impurity has on the electronic properties of a Luttinger liquid. We compute the flow of the renormalized impurity potential for…

Strongly Correlated Electrons · Physics 2007-05-23 V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

We provide analytic expressions for the Green's functions in position-frequency space as well as for the tunneling density of states of various Luttinger liquids at zero temperature: the standard spinless and spinful Luttinger liquids, the…

Mesoscale and Nanoscale Physics · Physics 2012-02-07 Bernd Braunecker , Cristina Bena , Pascal Simon

We study electronic transport in a Luttinger liquid (LL) with an embedded impurity, which is either a weak scatterer (WS) or a weak link (WL), when interacting electrons are coupled to one-dimensional massless bosons (e.g., acoustic…

Strongly Correlated Electrons · Physics 2013-04-02 Igor V. Yurkevich , Alexey Galda , Oleg M. Yevtushenko , Igor V. Lerner

We compute exactly the non-equilibrium DC noise in a Luttinger liquid with an impurity and an applied voltage. By generalizing Landauer transport theory for Fermi liquids to interacting, integrable systems, we relate this noise to the…

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

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 study systems made of periodic arrays of one dimensional quantum wires, coupled by Coulomb interaction. Using bosonization an interacting metallic fixed point is obtained, which is shown to be a higher dimensional analogue of the…

Strongly Correlated Electrons · Physics 2017-08-22 Shouvik Sur , Kun Yang

We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger liquids is relevant and fascinating and review some…

Strongly Correlated Electrons · Physics 2009-10-31 Sumathi Rao

Split-gate constrictions can be used to produce controllable scattering in a fractional quantum Hall state and constitute a very versatile model system for the investigation of non-Fermi physics in edge states. Controllable inter-edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram

In this paper the validity of the diffusion approximation for multiple scattering of classical waves in random medium in different regimes is investigated, with emphasize to weak localization effects. Many principle topics are discussed…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Slavov

We study the dynamics resulting out of an abrupt change of the two-particle interaction in two models of closed one-dimensional Fermi systems: (a) the field theoretical Tomonaga-Luttinger model and (b) a microscopic lattice model. Using a…

Strongly Correlated Electrons · Physics 2013-10-23 D. M. Kennes , V. Meden

We calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g_1, g_2, connected through a short junction, within the scattering state formalism. Following earlier work we formulate…

Strongly Correlated Electrons · Physics 2015-06-05 D. N. Aristov , P. Wölfle

We study the pumping current and the conductance in a Tomonaga-Luttinger liquid in the presence of two time-dependent point like weak impurities, taking into account finite-temperature effects. We investigate the different regimes which can…

Strongly Correlated Electrons · Physics 2015-05-13 Mariano J. Salvay

We develop a kinetic theory for strongly correlated disordered one-dimensional electron systems out of equilibrium, within the Luttinger liquid model. In the absence of inhomogeneities, the model exhibits no relaxation to equilibrium. We…

Strongly Correlated Electrons · Physics 2009-09-25 D. A. Bagrets , I. V. Gornyi , D. G. Polyakov

We study a simple model of a quantum Hall system with the electrons confined to a linear, narrow channel. The system is mapped to a 1D system which in the low-energy approximation has the form of a Luttinger liquid with different…

Strongly Correlated Electrons · Physics 2009-11-13 Mats Horsdal , Jon Magne Leinaas