Excitonic states in the one-dimensional hubbard model

M. Gulaosi; A. R. Bishop

doi:10.1080/095008398178778

Excitonic states in the one-dimensional hubbard model

M. Gulaosi, A. R. Bishop

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the charge excitations of the half-tilled Hubbard chain, which are related to electron pairs occupying the same lattice site. In the exact Bethe Ansatz eigenfunction, we separate the centre-off -mass motion by introducing the centre-off-mass and relative coordinates and wave vectors. These excitations are then interpreted as interacting quasi-particles propagating as plane waves along the chain. The two-body problem is solved for these quasi-particles. The solution suggests the existence of bound pairs, namely particle-hole excitonic states. A connection to the magnon states of the ferromagnetic Heisenberg chain is also discussed.

Original language	English
Pages (from-to)	59-67
Number of pages	9
Journal	Philosophical Magazine Letters
Volume	77
Issue number	1
DOIs	https://doi.org/10.1080/095008398178778
Publication status	Published - Jan 1998

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Excitonic states in the one-dimensional hubbard model

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