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Related papers: Exact electronic Green functions in a Luttinger li…

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The method of the quasiclassical Green's function is used to determine the equilibrium properties of one-dimensional (1D) interacting Fermi systems, in particular, the bulk and the local (near a hard wall) density of states. While this is a…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 U. Eckern , P. Schwab

We use a bosonization approach to show that the three dimensional Coulomb interaction in coupled metallic chains leads to a Luttinger liquid for vanishing inter-chain hopping $t_{\bot}$, and to a Fermi liquid for any finite $t_{\bot}$.…

Condensed Matter · Physics 2016-08-31 Peter Kopietz , Volker Meden , Kurt Schoenhammer

We investigate the coupling of the electromagnetic sources (charge and current densities) to the scalar and vector potentials in classical electrodynamics, using Green function techniques. As is well known, the scalar potential shows an…

Classical Physics · Physics 2015-08-17 B. J. Wundt , U. D. Jentschura

A consistent microscopic theory of superconductivity for strongly correlated electronic systems is presented within the extended t-J-V model where the intersite Coulomb repulsion and the electron-phonon interaction are taken into account.…

Strongly Correlated Electrons · Physics 2021-07-14 Nguen Dan Tung , Artem Vladimirov , Nikolay M. Plakida

In connection with recent publications we discuss spectral sum rules for the Tomonaga-Luttinger model without using the explicit result for the one-electron Green's function. They are usefull in the interpretation of recent high resolution…

Condensed Matter · Physics 2009-10-22 K. Schönhammer , V. Meden

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities. We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge…

Strongly Correlated Electrons · Physics 2016-08-16 Victoria I. Fernández , Aníbal Iucci , Carlos M. Naón

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 Green function for the Dirac equation describing a spin 1/2 particle in the presence of a potential which is a sum of the Coulomb potential V_C=-A_1/r and a Lorentz scalar potential V_S=-A_2/r. The bound state spectrum is…

High Energy Physics - Theory · Physics 2007-05-23 Arvind Narayan Vaidya , Luiz Eduardo Silva Souza

We evaluate the Green's function of the D-dimensional relativistic Coulomb system via sum over perturbation series which is obtained by expanding the exponential containing the potential term $V({\bf x)}$ in the path integral into a power…

Quantum Physics · Physics 2008-11-26 De-Hone Lin

The chemical potential of the electron gas on a two-dimensional recttangular lattice is determined.An approximate expression for exp(-mu/T) is obtained,and its second order approximation is discussed to some extent.This result will find…

Strongly Correlated Electrons · Physics 2007-05-23 V. Celebonovic

Using the operator method, the Green's functions of the Dirac and Klein-Gordon equations in the Coulomb potential $-Z\alpha/r$ are derived for the arbitrary space dimensionality $d$. Nonrelativistic and quasiclassical asymptotics of these…

Atomic Physics · Physics 2016-11-30 R. N. Lee , A. I. Milstein , I. S. Terekhov

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

We introduce a path-integral approach that allows to compute charge density oscillations in a Luttinger liquid with impurities. We obtain an explicit expression for the envelope of Friedel oscillations in the presence of arbitrary…

Strongly Correlated Electrons · Physics 2009-10-31 Victoria I. Fernández , Carlos M. Naón

We obtain the effective action of tunnel-coupled quantum dots, by modeling the system as a Luttinger liquid with multiple barriers. For a double dot system, we find that the resonance conditions for perfect conductance form a hexagon in the…

Mesoscale and Nanoscale Physics · Physics 2007-12-03 Sourin Das , Sumathi Rao

In this work we derive a new scheme to calculate Tomonaga-Luttinger liquid (TLL) parameters and holon (charge modes) velocities in a quasi-1D material that consists of two-leg ladders coupled through Coulomb interactions. Firstly, we obtain…

Strongly Correlated Electrons · Physics 2021-04-21 P. Chudzinski

We study a one-dimensional system of spinless electrons in the presence of a long-range Coulomb interaction (LRCI) and a random chemical potential at each site. We first present a Tomonaga-Luttinger liquid (TLL) description of the system.…

Strongly Correlated Electrons · Physics 2009-11-10 Amit Dutta , Lars Fritz , Diptiman Sen

The non linear charge transfer through a tunnel junction between two Luttinger systems is studied for repulsive, finite range interaction between electrons on the same, V_{11}, and on different,V_{12}, sides of the junction. Features of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Maura Sassetti , Bernhard Kramer

The understanding of the mechanisms responsible for superconductivity in strongly correlated systems is an interesting and important subject in condensed matter physics. Several theoretical proposals were considered for these systems. The…

We analyze a decomposition of the Coulomb electron-electron interaction into a long-range and a short-range part in the framework of density functional theory, deriving some scaling relations and the corresponding virial theorem. We study…

Chemical Physics · Physics 2015-06-26 Julien Toulouse , Paola Gori-Giorgi , Andreas Savin

We present a finite-temperature extension of the retarded cumulant Green's function for calculations of exited-state and thermodynamic properties of electronic systems. The method incorporates a cumulant to leading order in the screened…

Strongly Correlated Electrons · Physics 2017-11-01 J. J. Kas , J. J. Rehr