An SU(8) Model for the Unification of Superconductivity, Charge and Spin Density Waves

Solomon, Allan I. and Birman, Joseph L. (1986) An SU(8) Model for the Unification of Superconductivity, Charge and Spin Density Waves. (Preprint)

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Abstract

We analyse a model Hamiltonian for a many-electron system which unifies superconductivity, charge density waves and spin density waves. We show that the spectrum generating algebra for this system is su(8), and identify all 63 generators of this Lie algebra as symmetry operators which are broken in transition to the condensed state, together with 56 order operators, whose expectations give the order parameters of the various phases present in the model. We tabulate the discrete symmetry properties of these operators. We construct a chain of subalgebras of sub-models with corresponding decoupled phases. We finally indicate how the finite temperature Green's Functions may be obtained and used to solve the problem of self-consistency of the order parameters in the model.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	06 Jul 2018 08:58
Last Modified:	15 Dec 2022 14:58
URI:	https://dair.dias.ie/id/eprint/849

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