One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic Conductors

The one-dimensional extended Hubbard model with lattice dimerization and alternated site potentials is analyzed using the renormalization group method. The coupling of electrons to structural degrees of freedom such as the anion lattice and acoustic phonons is investigated to obtain the possible ins...

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Main Authors: M. Ménard, C. Bourbonnais
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/10/10/942
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author M. Ménard
C. Bourbonnais
author_facet M. Ménard
C. Bourbonnais
author_sort M. Ménard
collection DOAJ
description The one-dimensional extended Hubbard model with lattice dimerization and alternated site potentials is analyzed using the renormalization group method. The coupling of electrons to structural degrees of freedom such as the anion lattice and acoustic phonons is investigated to obtain the possible instabilities against the formation of lattice superstructures. Applications of the theory to anionic and spin-Peierls instabilities in the Fabre and Bechgaard salts series of organic conductors and ordered alloys are presented and discussed.
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spelling doaj.art-314307827e614285bcc1e4dc9c2a9bae2023-11-20T17:23:50ZengMDPI AGCrystals2073-43522020-10-01101094210.3390/cryst10100942One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic ConductorsM. Ménard0C. Bourbonnais1Regroupement Québécois sur les Matériaux de Pointe, Départememt de physique, Université de Sherbrooke, Sherbrooke, QC J1K 2R1, CanadaRegroupement Québécois sur les Matériaux de Pointe, Départememt de physique, Université de Sherbrooke, Sherbrooke, QC J1K 2R1, CanadaThe one-dimensional extended Hubbard model with lattice dimerization and alternated site potentials is analyzed using the renormalization group method. The coupling of electrons to structural degrees of freedom such as the anion lattice and acoustic phonons is investigated to obtain the possible instabilities against the formation of lattice superstructures. Applications of the theory to anionic and spin-Peierls instabilities in the Fabre and Bechgaard salts series of organic conductors and ordered alloys are presented and discussed.https://www.mdpi.com/2073-4352/10/10/942interacting electrons in one dimensionelectronic and lattice instabilitiesrenormalization group methodorganic conductors
spellingShingle M. Ménard
C. Bourbonnais
One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic Conductors
Crystals
interacting electrons in one dimension
electronic and lattice instabilities
renormalization group method
organic conductors
title One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic Conductors
title_full One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic Conductors
title_fullStr One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic Conductors
title_full_unstemmed One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic Conductors
title_short One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic Conductors
title_sort one dimensional alternating extended hubbard model at quarter filling and its applications to structural instabilities of organic conductors
topic interacting electrons in one dimension
electronic and lattice instabilities
renormalization group method
organic conductors
url https://www.mdpi.com/2073-4352/10/10/942
work_keys_str_mv AT mmenard onedimensionalalternatingextendedhubbardmodelatquarterfillinganditsapplicationstostructuralinstabilitiesoforganicconductors
AT cbourbonnais onedimensionalalternatingextendedhubbardmodelatquarterfillinganditsapplicationstostructuralinstabilitiesoforganicconductors