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Related papers: Bosonization of coupled electron-phonon systems

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We use higher-dimensional bosonization to study the normal state of electrons in weakly coupled metallic chains interacting with long-range Coulomb forces. Particular attention is paid to the crossover between Luttinger and Fermi liquid…

Strongly Correlated Electrons · Physics 2009-10-30 Peter Kopietz , Volker Meden , Kurt Schoenhammer

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

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

Strong repulsive interactions in a one-dimensional electron system suppress the exchange coupling J of electron spins to a value much smaller than the Fermi energy E_F. The conventional theoretical description of such systems based on the…

Mesoscale and Nanoscale Physics · Physics 2007-11-01 K. A. Matveev , A. Furusaki , L. I. Glazman

In framework of eigen-functional bosonization method, we introduce an imaginary phase field to uniquely represent electron correlation, and demonstrate that the Landau Fermi liquid theory and the Tomonaga-Luttinger liquid theory can be…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

We develop a bosonization technique for one-dimensional fermions out of equilibrium. The approach is used to study a quantum wire attached to two electrodes with arbitrary energy distributions. The non-equilibrium electron Green function is…

Mesoscale and Nanoscale Physics · Physics 2010-06-08 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We compare two non-perturbative techniques for calculating the single-particle Green's function of interacting Fermi systems with dominant forward scattering: our recently developed functional integral approach to bosonization in arbitrary…

Condensed Matter · Physics 2015-06-25 Peter Kopietz

We bosonize the low energy excitations of Fermi Liquids in any number of dimensions in the limit of long wavelengths. The bosons are coherent superposition of electron-hole pairs and are related with the displacement of the Fermi Surface in…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

Using eigen-functional bosonization method, we study quantum many-particle systems, and show that the quantum many-particle problems end in to solve the differential equation of the phase fields which represent the particle correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

We show that electron-phonon coupling strongly affects transport properties of the Luttinger liquid hybridized with a resonant level. Namely, this coupling significantly modifies the effective energy-dependent width of the resonant level in…

Strongly Correlated Electrons · Physics 2011-08-04 Alexey Galda , Igor V. Yurkevich , Igor V. Lerner

We bosonize the long-wavelength excitations of interacting fermions in arbitrary dimension by directly applying a suitable Hubbard-Stratonowich transformation to the Grassmannian generating functional of the fermionic correlation functions.…

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

We consider an electron gas, both in two (2D) and three (3D) dimensions, interacting with quenched impurities and phonons within leading order finite-temperature many body perturbation theories, calculating the electron self-energies,…

Strongly Correlated Electrons · Physics 2020-01-08 Donovan Buterakos , Sankar Das Sarma

We discuss an extension of the (massless) Thirring model describing interacting fermions in one dimension which are coupled to phonons and where all interactions are local. This fermion-phonon model can be solved exactly by bosonization. We…

Mathematical Physics · Physics 2015-12-04 Edwin Langmann , Per Moosavi

The single-particle Green's function of an interacting Fermi system with dominant forward scattering is calculated by decoupling the interaction by means of a Hubbard-Stratonowich transformation involving a bosonic auxiliary field…

Condensed Matter · Physics 2007-05-23 Peter Kopietz

We investigate the interaction of correlated electrons with acoustical phonons using the extended Hubbard-Holstein model in which both, the electron-phonon interaction and the on-site Coulomb repulsion are considered to be strong. The…

Strongly Correlated Electrons · Physics 2009-11-11 V. A. Moskalenko , P. Entel , D. F. Digor

Understanding the effects of nonequilibrium on strongly interacting quantum systems is a challenging problem in condensed matter physics. In dimensions greater than one, interacting electrons can often be understood within Fermi-liquid…

Strongly Correlated Electrons · Physics 2015-05-14 So Takei , Mirco Milletari' , Bernd Rosenow

We calculate zero-temperature correlation functions for a model of 2D interacting electrons with short-range interactions and a square Fermi surface. The model was arrived at by mapping electronic states near a square Fermi surface with…

Strongly Correlated Electrons · Physics 2009-10-31 J. O. Fjaerestad , A. Sudbo , A. Luther

The Green function and the ordering correlation functions of a system of electrons coupled to acoustic phonons are calculated explicitly. The sensitivity of the correlation function exponents to the Wentzel-Bardeen singularity is discussed.…

Condensed Matter · Physics 2015-06-25 Thierry Martin , Daniel Loss

We show that the resonant interactions between phonons in one dimension may be treated consistently within Quantum Hydrodynamics by the introduction of phonon dispersion. In this way the physics of a nonlinear Luttinger liquid may be…

Quantum Gases · Physics 2014-12-24 Tom Price , Austen Lamacraft

The electronic self-energy is studied for a two dimensional electron gas coupled to a spin-orbit Rashba field and interacting with dispersionless phonons. For the case of a momentum independent electron-phonon coupling (Holstein model) we…

Strongly Correlated Electrons · Physics 2009-11-13 E. Cappelluti , C. Grimaldi , F. Marsiglio
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