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Related papers: Ponderous impurities in a Luttinger liquid

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In one-dimensional quantum wires the interplay of electron correlations and impurities strongly influences the low-energy physics. The diversity of energy scales and the competition of correlations in interacting Fermi systems can be…

Strongly Correlated Electrons · Physics 2024-09-02 Sabine Andergassen

Motivated by recent experimental refinements of stellar reaction rates, we establish a non-perturbative Green's function formalism based on the exact solution of the Dyson equation for sub-barrier proton-nucleus resonant scattering. By…

Nuclear Theory · Physics 2026-03-19 Bahruz Suleymanli , Kutsal Bozkurt

Using a path integral approach and bosonization, we calculate the low energy asymptotics of the one particle Green's function for a ``magnetically incoherent'' one dimensional strongly interacting electron gas at temperatures much greater…

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

We study the properties of spin-less non-interacting fermions trapped in a confining potential in one dimension but in the presence of one or more impurities which are modelled by delta function potentials. We use a method based on the…

Statistical Mechanics · Physics 2021-05-03 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

We investigate the bounds between normal or anomalous effective diffusion for inertial particles transported by parallel flows. The infrared behavior of the fluid kinetic-energy spectrum, i.e. the possible presence of long-range…

Fluid Dynamics · Physics 2014-07-07 Marco Martins Afonso

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

We examine a one-dimensional linear waveguide array containing a single saturable waveguide. By using the formalism of lattice Green functions, we compute in closed form the localized mode and the transmission across the impurity in closed…

Pattern Formation and Solitons · Physics 2018-09-19 M. I. Molina

We explore the properties of run-and-tumble particles moving in a piecewise-linear "ratchet" potential by deriving analytic results for the system's steady-state probability density, current, entropy production rate, extractable power, and…

Statistical Mechanics · Physics 2023-08-01 Connor Roberts , Zigan Zhen

We study theoretically the electronic transport through a single impurity in a repulsive Luttinger liquid (LL), and find that above a threshold voltage related to a strength of the impurity potential the DC current $\bar I$ is accompanied…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. N. Artemenko , S. V. Remizov , D. S. Shapiro

Electron backscattering in a Luttinger liquid with an impurity is investigated in the presence of zero point motion of the phonon lattice. The impurity can mean either a mass defect, an elastic defect or a pinning defect. The phonon…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Pablo San-Jose , Francisco Guinea , Thierry Martin

A Green's function formalism is used to calculate the spectrum of excitations of two neighboring impurities implanted in a semi-infinite ferromagnetic. The equations of motion for the Green's functions are determined in the framework of the…

Materials Science · Physics 2009-11-10 R. V. Leite , J. Milton Pereira , R. N. Costa Filho

A new approach describing Luttinger Liquid with point-like impurity as field theory for the phase of scattering is developed. It based on a matching of the electron wave functions at impurity position point. As a result of the approach, an…

Strongly Correlated Electrons · Physics 2026-04-08 V. V. Afonin

We revisit the problem of dynamical response in spin-charge separated one dimensional quantum fluids. In the framework of Luttinger liquid theory, the dynamical response is formulated in terms of noninteracting bosonic collective…

Strongly Correlated Electrons · Physics 2015-07-01 F. H. L. Essler , R. G. Pereira , I. Schneider

We calculate the density of states for an interacting quantum wire in the presence two impurities of arbitrary potential strength. To perform this calculation, we describe the Coulomb interactions in the wire within the Tomonaga-Luttinger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 R. Zamoum , M. Guigou , C. Bena , A. Crépieux

We study the radial flow of retarded Green's function of energy-momentum tensor and $R$-current of dual gauge theory in presence of generic higher derivative terms in bulk Lagrangian. These are first order non-linear Riccati equations. We…

High Energy Physics - Theory · Physics 2014-11-21 Nabamita Banerjee , Suvankar Dutta

The Tomonaga-Luttinger model with impurity is studied by means of flow equations for Hamiltonians. The system is formulated within collective density fluctuations but no use of the bosonization formula is made. The truncation scheme…

Strongly Correlated Electrons · Physics 2016-08-31 T. Stauber

The dynamics of an active, finite-size and immiscible impurity in a dilute quantum fluid at finite temperature is characterized by means of numerical simulations of the projected Gross--Pitaevskii equation. The impurity is modeled as a…

Statistical Mechanics · Physics 2021-01-20 Umberto Giuriato , Giorgio Krstulovic

We study the dynamics of a non-magnetic impurity interacting with the surface states of a 3D and 2D topological insulator. Employing the linked cluster technique we develop a formalism for obtaining the Greens function of the mobile…

Strongly Correlated Electrons · Physics 2020-08-26 Ajit Kumar Sorout , Surajit Sarkar , Suhas Gangadharaiah

Using a functional renormalization group we compute the flow of the renormalized impurity potential for a single impurity in a Luttinger liquid over the entire energy range - from the microscopic scale of a lattice-fermion model down to the…

Strongly Correlated Electrons · Physics 2009-11-07 V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

An impurity in a Tomonaga-Luttinger liquid leads to a crossover between short- and long-distance regime which describes many physical phenomena. However, calculation of the entire crossover of correlation functions over different length…

Strongly Correlated Electrons · Physics 2019-03-13 Chung-Yu Lo , Yoshiki Fukusumi , Masaki Oshikawa , Ying-Jer Kao , Pochung Chen