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Using bosonization and path integral methods, we study general low temperature behavior of non-magnetic and magnetic impurity scattering in Tomonaga-Luttinger liquid, and calculate electron Green function for a general backward scattering…

Condensed Matter · Physics 2009-10-31 Yu-Liang Liu

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

The problem of a single impurity in one dimensional Tomonaga-Luttinger liquids with a repulsive electron-electron interaction is discussed. We find that the renormalization group flow diagram for the parameters characterizing the impurity…

Condensed Matter · Physics 2017-02-08 Yuval Oreg , Alexander M. Finkel'stein

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 have analyzed the behavior of a mobile quantum impurity in a bath formed by a two-leg bosonic ladder by a combination of field theory (Tomonaga-Luttinger liquid) and numerical (Density Matrix Renormalization Group) techniques. Computing…

Quantum Gases · Physics 2019-08-21 Naushad Ahmad Kamar , Adrian Kantian , Thierry Giamarchi

Impurity motion in one dimensional ultra cold quantum liquids confined in an optical trap has attracted much interest recently. As a step towards its full understanding, we construct a generating functional from which we derive the position…

Quantum Gases · Physics 2012-09-11 Julius Bonart , Leticia F. Cugliandolo

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

We study the dynamics of a mobile impurity in a two-leg bosonic ladder. The impurity moves both along and across the legs and interacts with a bath of interacting bosonic particles present in the ladder. We use both analytical…

Quantum Gases · Physics 2025-07-25 Naushad Ahmad Kamar , Adrian Kantian , Thierry Giamarchi

An Anderson impurity in a Hubbard model on chains with finite length is studied using the density-matrix renormalization group (DMRG) technique. In the first place, we analyzed how the reduction of electron density from half-filling to…

Strongly Correlated Electrons · Physics 2009-11-11 S. Costamagna , C. J. Gazza , M. E. Torio , J. A. Riera

The behavior of a single impurity in a one-dimensional Luttinger liquid is numerically investigated by means of the density matrix renormalization group. By analyzing the finite size scaling behavior of the low energy spectrum, we confirm…

Condensed Matter · Physics 2009-10-28 Shaojin Qin , Michele Fabrizio , Lu Yu

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

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

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

A generalized Anderson model for a magnetic impurity in an interacting one-dimensional electron gas is studied via a mapping onto a classical Coulomb gas. For weak potential scattering, the local-moment parameter regime expands as repulsive…

Condensed Matter · Physics 2009-10-28 Avraham Schiller , Kevin Ingersent

We study the motion of an impurity in a two-leg ladder interacting with two fermionic baths along each leg, a simple model bridging cold atom quantum simulators with an idealised description of the basic transport processes in a layered…

Quantum Gases · Physics 2021-04-07 Martino Stefanini , Massimo Capone , Alessandro Silva

We study inhomogeneous 1+1-dimensional quantum many-body systems described by Tomonaga-Luttinger-liquid theory with general propagation velocity and Luttinger parameter varying smoothly in space, equivalent to an inhomogeneous…

Statistical Mechanics · Physics 2023-09-08 Per Moosavi

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 the low-temperature properties of a spin-\onehalf\ magnetic impurity coupled to a one-dimensional interacting electron system. Using the newly developed formalism by Affleck and Ludwig, with a scale invariant boundary condition…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

We study a quantum quench in which a magnetic impurity is suddenly coupled to Hubbard chains, whose low-energy physics is described by Tomonaga-Luttinger liquid theory. Using the time-dependent density-matrix renormalization-group (tDMRG)…

Strongly Correlated Electrons · Physics 2021-03-31 Helena Bragança , Moallison F. Cavalcante , R. G. Pereira , Maria C. O. Aguiar

The nonlinear Luttinger liquid phenomenology of one-dimensional correlated Fermi systems is an attempt to describe the effect of the band curvature beyond the Tomonaga-Luttinger liquid paradigm. It relies on the observation that the…

Strongly Correlated Electrons · Physics 2019-10-10 L. Markhof , M. Pletyukhov , V. Meden
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