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THEOREM ON THE ONE-DIMENSIONAL INTERACTING-ELECTRON SYSTEM ON A LATTICE
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UNSPECIFIED (1992) THEOREM ON THE ONE-DIMENSIONAL INTERACTING-ELECTRON SYSTEM ON A LATTICE. PHYSICAL REVIEW B, 46 (17). pp. 11179-11181.
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Abstract
A theorem about the spin properties of the ground state and the ordering of the energy levels for different spins of an interacting-electron model including an arbitrary diagonal interacting potential, an antiferromagnetic exchange, and an electron pair-hopping term for particles on a one-dimensional lattice is stated and proved. We show that when the number of electrons N = 4n + 2 (n an integer) with periodic boundary conditions or N = 4n with antiperiodic boundary conditions, the ground state is a nondegenerate singlet. This theorem generalizes a similar theorem Lieb and Mattis proved for the one-dimensional interacting electron system.
Item Type: | Journal Item | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICAL REVIEW B | ||||
Publisher: | AMERICAN PHYSICAL SOC | ||||
ISSN: | 0163-1829 | ||||
Official Date: | 1 November 1992 | ||||
Dates: |
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Volume: | 46 | ||||
Number: | 17 | ||||
Number of Pages: | 3 | ||||
Page Range: | pp. 11179-11181 | ||||
Publication Status: | Published |
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