One-electron singular spectral features of the 1D Hubbard model at finite magnetic field

The momentum, electronic density, spin density, and interaction dependences of the exponents that control the (k,ω)-plane singular features of the σ=↑,↓ one-electron spectral functions of the 1D Hubbard model at finite magnetic field are studied. The usual half-filling concepts of one-electron lower...

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Main Authors: J.M.P. Carmelo, T. Čadež
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316303595
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author J.M.P. Carmelo
T. Čadež
author_facet J.M.P. Carmelo
T. Čadež
author_sort J.M.P. Carmelo
collection DOAJ
description The momentum, electronic density, spin density, and interaction dependences of the exponents that control the (k,ω)-plane singular features of the σ=↑,↓ one-electron spectral functions of the 1D Hubbard model at finite magnetic field are studied. The usual half-filling concepts of one-electron lower Hubbard band and upper Hubbard band are defined in terms of the rotated electrons associated with the model Bethe-ansatz solution for all electronic density and spin density values and the whole finite repulsion range. Such rotated electrons are the link of the non-perturbative relation between the electrons and the pseudofermions. Our results further clarify the microscopic processes through which the pseudofermion dynamical theory accounts for the one-electron matrix elements between the ground state and excited energy eigenstates.
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spelling doaj.art-3fe0d03c5819477cb4d41d2f59649c052022-12-21T22:35:23ZengElsevierNuclear Physics B0550-32131873-15622017-01-01914C46155210.1016/j.nuclphysb.2016.11.009One-electron singular spectral features of the 1D Hubbard model at finite magnetic fieldJ.M.P. Carmelo0T. Čadež1Department of Physics, University of Minho, Campus Gualtar, P-4710-057 Braga, PortugalBeijing Computational Science Research Center, Beijing 100193, ChinaThe momentum, electronic density, spin density, and interaction dependences of the exponents that control the (k,ω)-plane singular features of the σ=↑,↓ one-electron spectral functions of the 1D Hubbard model at finite magnetic field are studied. The usual half-filling concepts of one-electron lower Hubbard band and upper Hubbard band are defined in terms of the rotated electrons associated with the model Bethe-ansatz solution for all electronic density and spin density values and the whole finite repulsion range. Such rotated electrons are the link of the non-perturbative relation between the electrons and the pseudofermions. Our results further clarify the microscopic processes through which the pseudofermion dynamical theory accounts for the one-electron matrix elements between the ground state and excited energy eigenstates.http://www.sciencedirect.com/science/article/pii/S0550321316303595
spellingShingle J.M.P. Carmelo
T. Čadež
One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
Nuclear Physics B
title One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
title_full One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
title_fullStr One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
title_full_unstemmed One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
title_short One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
title_sort one electron singular spectral features of the 1d hubbard model at finite magnetic field
url http://www.sciencedirect.com/science/article/pii/S0550321316303595
work_keys_str_mv AT jmpcarmelo oneelectronsingularspectralfeaturesofthe1dhubbardmodelatfinitemagneticfield
AT tcadez oneelectronsingularspectralfeaturesofthe1dhubbardmodelatfinitemagneticfield