Abstract

With use of the symmetry properties of the half-filled single-band Hubbard Hamiltonian, there is derived an effective Hamiltonian on a decimated lattice in which the spin and charge operators occur explicitly. Being a generalization of the Blume-Emery-Griffiths Hamiltonian for ${\mathrm{He}}^{3}$-${\mathrm{He}}^{4}$ mixtures, this new statistical mechanical model permits one to give a preliminary discussion of the phase diagram of the correlated electron gas by establishing analogies with their results.

Keywords

Hamiltonian (control theory)Hubbard modelPhysicsPhase diagramCondensed matter physicsMathematical physicsLattice (music)Quantum mechanicsMathematicsPhase (matter)Superconductivity

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Publication Info

Year
1979
Type
article
Volume
43
Issue
26
Pages
1957-1960
Citations
150
Access
Closed

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C. Castellani, C. Di Castro, D. Feinberg et al. (1979). New Model Hamiltonian for the Metal-Insulator Transition. Physical Review Letters , 43 (26) , 1957-1960. https://doi.org/10.1103/physrevlett.43.1957

Identifiers

DOI
10.1103/physrevlett.43.1957