Physics of the Solid State
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Two-dimensional Labbe-Friedel model for interacting carbon chains in a free state and formed on transition metals and their oxides: special features of thermoelectrical characteristics
Davydov S.Yu.1
1Ioffe Institute, St. Petersburg, Russia
Email: sergei_davydov@mail.ru

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Within the framework of the tight binding theory, a free rectangular lattice (FRL) formed by orthogonal chains of carbon atoms (a two-dimensional version of the Labbe-Friedel model) is considered, for which analytical expressions for the density of states and estimates of the features of thermoelectric characteristics are obtained. The question of how the obtained results are affected by sub-strates, which are transition metals and their oxides, is discussed. Estimates of charge transfer be-tween the epitaxial rectangular lattice (ERL) and substrates are presented. The influence of indirect interaction of parallel chains and Coulomb interaction of carbon adatoms in a chain on the properties of ELR is considered; the possibility of occurrence of charge and spin density waves is shown. Keywords: rectangular lattice of carbon atoms, direct and indirect interactions of carbon chains, thermoelectric characteristics, ferromagnetic and antiferromagnetic coupling of parallel chains.
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