Absorption in a strong-coupling half-filled-band Hubbard chain
Open Access
- 28 May 1977
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 10 (10) , 1693-1702
- https://doi.org/10.1088/0022-3719/10/10/012
Abstract
A theory of absorption is presented for a half-filled Hubbard band with nearest-neighbour electron transfer (t) and strong intra-site Coulomb repulsion (U). The lineshape is calculated at low temperature (i.e. kBT<<U) to lowest order in t/U for antiferromagnetic, random and ferromagnetic spin configurations in a Cayley tree lattice with a particular emphasis on one dimension. The authors find that the absorption diverges logarithmically at the centre of the absorption band (i.e. at h(cross) omega =U). In a one-dimensional lattice, the absorption width equals twice the bandwidth of a single hole (or an extra electron) in an otherwise half-filled Hubbard band.Keywords
This publication has 7 references indexed in Scilit:
- Study of transport in a strongly correlated electron systemPhysical Review B, 1976
- Optical properties of charge transfer salts of tetracyanoquinodimethane (TCNQ)Solid State Communications, 1975
- Electrical Conductivity and Thermodynamics of the Narrow-Half-Filled-Band Hubbard ModelPhysical Review B, 1972
- Optical Absorption in a Narrow BandJournal of the Physics Society Japan, 1971
- Single-Particle Excitations in Magnetic InsulatorsPhysical Review B, 1970
- Electron correlations in narrow energy bands III. An improved solutionProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1964
- Electron correlations in narrow energy bandsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963