Two Theorems on the Hubbard Model
Dec, 198810 pages
Published in:
- Phys.Rev.Lett. 62 (1989) 1201,
- Phys.Rev.Lett. 62 (1989) 1927 (erratum)
DOI:
Report number:
- Print-89-0183 (PRINCETON)
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Abstract: (APS)
In the attractive Hubbard Model (and some extended versions of it), the ground state is proved to have spin angular momentum S=0 for every (even) electron filling. In the repulsive case, and with a bipartite lattice and a half-filled band, the ground state has S=(1/2∥B‖-‖A‖‖, where ‖B‖ (‖A‖) is the number of sites in the B (A) sublattice. In both cases the ground state is unique. The second theorem confirms an old, unproved conjecture in the ‖B‖=‖A‖ case and yields, with ‖B‖≠‖A‖, the first provable example of itinerant-electron ferromagnetism. The theorems hold in all dimensions without even the necessity of a periodic lattice structure.References(7)
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