Properties of Hubbard models with degenerate localised single-particle eigenstates

We consider the repulsive Hubbard model on a class of lattices or graphs for which there is a large degeneracy of the single-particle ground states and where the projector onto the space of single-particle ground states is highly reducible. This means that one can find a basis in the space of the si...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2012-06, Vol.85 (6), Article 184
Main Author: Mielke, A.
Format: Article
Language:English
Subjects:
Analysis
Audio-visual equipment industry
Complex Systems
Condensed Matter Physics
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states
Exact sciences and technology
Fluid- and Aerodynamics
Physics
Physics and Astronomy
Projectors
Regular Article
Solid State Physics
Specific gravity
Strongly correlated systems
heavy fermions
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Summary:We consider the repulsive Hubbard model on a class of lattices or graphs for which there is a large degeneracy of the single-particle ground states and where the projector onto the space of single-particle ground states is highly reducible. This means that one can find a basis in the space of the single-particle ground states such that the support of each single-particle ground state belongs to some small cluster and these clusters do not overlap. We show how such lattices can be constructed in arbitrary dimensions. We construct all multi-particle ground states of these models for electron numbers not larger than the number of localised single-particle eigenstates. We derive some of the ground state properties, esp. the residual entropy, i.e. the finite entropy density at zero temperature.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2012-21041-4