Ground states of integrable quantum liquids

Details Ground states of integrable quantum liquids Ground states of integrable quantum liquids

1994-11-22

arxiv.org/abs/cond-mat/9411096v1

Physics

Condensed Matter

RevteX 3.0, 43 pages, preprint Univ.Evora, Portugal

Scientific paper

10.1103/PhysRevB.51.7481

Based on a recently introduced operator algebra for the description of a class of integrable quantum liquids we define the ground states for all canonical ensembles of these systems. We consider the particular case of the Hubbard chain in a magnetic field and chemical potential. The ground states of all canonical ensembles of the model can be generated by acting onto the electron vacuum (densities $n<1$) or hole vacuum (densities $n>1$), suitable pseudoparticle creation operators. We also evaluate the energy gaps of the non-lowest-weight states (non - LWS's) and non-highest-weight states (non - HWS's) of the eta-spin and spin algebras relative to the corresponding ground states. For all sectors of parameter space and symmetries the {\it exact ground state} of the many-electron problem is in the pseudoparticle basis the non-interacting pseudoparticle ground state. This plays a central role in the pseudoparticle perturbation theory.

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