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We examine the range of validity of the second-order cumulant expansion (CE) for the calculation of spectral functions, quasiparticle properties, and mobility of the Holstein polaron. We devise an efficient numerical implementation that…

Strongly Correlated Electrons · Physics 2023-05-01 Petar Mitrić , Veljko Janković , Nenad Vukmirović , Darko Tanasković

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

We use an exact holon and spinon Landau-liquid functional which describes the holon - spinon interactions at all scattering orders, to study correlation functions of integrable multicomponent many-particle problems showing both linear and…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo , J. M. E. Guerra , J. M. B. Lopes dos Santos , A. H. Castro Neto

A new electronic structure model is developed in which the ground state energy of a molecular system is given by a Hartree-Fock-like expression with parametrized one- and two-electron integrals over an extended (minimal + polarization) set…

Chemical Physics · Physics 2014-02-11 Dimitri N. Laikov

We present a theoretical framework to describe polarons from first principles within a many-body Green's function formalism. Starting from a general electron-phonon Hamiltonian, we derive a self-consistent Dyson equation in which the…

The carrier-density dependence of the photoemission spectrum of the Holstein many-polaron model is studied using cluster perturbation theory combined with an improved cluster diagonalization by Chebychev expansion.

Strongly Correlated Electrons · Physics 2007-05-23 Martin Hohenadler , Gerhard Wellein , Andreas Alvermann , Holger Fehske

We present a study of the one dimensional Su-Schrieffer-Heeger model Hamiltonian by a diagrammatic perturbative method in the weak electron-phonon coupling regime. Exact computation of both the charge carrier effective mass and the electron…

Materials Science · Physics 2009-11-07 Marco Zoli

Here the line shape of the up- and down-spin one-particle spectral functions at and in the (k,energy)-plane's vicinity of their cusp singularities is studied for the Mott-Hubbard insulator described by the 1D Hubbard model with one fermion…

Strongly Correlated Electrons · Physics 2021-05-17 José M. P. Carmelo , Tilen Čadež , Pedro D. Sacramento

Current widely-used approaches to calculate spectral functions using the density-matrix renormalization group in frequency space either necessarily include an artificial broadening (correction-vector method) or have limited resolution…

Strongly Correlated Electrons · Physics 2011-04-27 P. E. Dargel , A. Honecker , R. Peters , R. M. Noack , T. Pruschke

We consider the theory of spinor fields written in polar form, that is the form in which the spinor components are given in terms of a module times a complex unitary phase respecting Lorentz covariance. In this formalism, spinors can be…

General Physics · Physics 2021-06-01 Flora Moulin , Luca Fabbri , Aurélien Barrau

We calculate the f-electron spectral function using a Keldysh formalism for the Falicov-Kimball model in infinite dimensions. We study the region close to the quantum critical point on both the hypercubic and Bethe lattices.

Strongly Correlated Electrons · Physics 2009-11-10 J. K. Freericks , V. Turkowski , V. Zlatic

We present a coupled-cluster calculation for the electron-$^4$He scattering in the region of the quasi-elastic peak. We show the longitudinal and transverse responses separately, and discuss results within two distinct theoretical methods:…

Nuclear Theory · Physics 2024-03-14 Joanna E. Sobczyk

The molecular-crystal model, that describes a one-dimensional electron gas interacting with quartic anharmonic lattice vibrations, offers great potentials in the mapping of a relatively wide range of low-dimensional fermion systems coupled…

Strongly Correlated Electrons · Physics 2010-07-15 Alain Moise Dikande

A fully analytical approximation for the observable characteristics of many-electron atoms is developed via a complete and orthonormal hydrogen-like basis with a single-effective charge parameter for all electrons of a given atom. The basis…

Quantum Physics · Physics 2017-12-06 O. D. Skoromnik , I. D. Feranchuk , A. U. Leonau , C. H. Keitel

In this work we investigate the ability of the cumulant expansion (CE) to capture one-particle spectral information in electron-phonon coupled systems at both zero and finite temperatures. In particular, we present a comprehensive study of…

Chemical Physics · Physics 2022-06-09 Paul J. Robinson , Ian S. Dunn , David R. Reichman

The exact conditions for density functionals and density matrix functionals in terms of fractional charges and fractional spins are known, and their violation in commonly used functionals has been shown to be the root of many major failures…

Other Condensed Matter · Physics 2015-06-16 Weitao Yang , Paula Mori-Sanchez , Aron J. Cohen

The two-site single-polaron problem is studied within the perturbative expansions using different standard phonon basis obtained through the Lang Firsov (LF), modified LF (MLF) and modified LF transformation with squeezed phonon states…

Condensed Matter · Physics 2009-10-31 Jayita Chatterjee , A. N. Das

The one-dimensional optical polaron is treated on the basis of the perturbation theory in the weak coupling limit. A special matrix diagrammatic technique is developed. It is shown how to evaluate all terms of the perturbation theory for…

Condensed Matter · Physics 2009-11-07 P. A. Khomyakov

Ground-state and dynamical properties of the 2D Holstein t-J model are examined by means of direct Lanczos diagonalization, using a truncation method of the phononic Hilbert space. The single-hole spectral function shows the formation of a…

Condensed Matter · Physics 2016-08-31 H. Fehske , G. Wellein , B. Bäuml , H. Büttner

The spectral function of one hole in different magnetic states of the one-dimensional t-J model including three-site term and frustration $J^{\prime}$ is studied. In the strong coupling limit $J \to 0$ (corresponding to $U \to \infty$ of…

Strongly Correlated Electrons · Physics 2009-10-31 R. Hayn , R. O. Kuzian