Stability of ferromagnetism in the Hubbard model on the kagome lattice

Physical Review Letters

Volumn 90, Issue 6, 2003, Pages

  Tanaka, Akinori ^a   Ueda, Hiromitsu ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRON TRANSPORT PROPERTIES; ENERGY GAP; FERMIONS; GROUND STATE; HAMILTONIANS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; THEOREM PROVING;

FLAT-BAND FERROMAGNETISM; HUBBARD MODEL; KAGOME LATTICE;

FERROMAGNETISM;

EID: 0037435841     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

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15. It is possible to prove the stability of ferromagnetism in Mielke's models on other lattices such as a regular lattice of corner-sharing tetrahedra. The details will appear elsewhere.
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17. Here |·| denotes the Euclidean norm. We use the same symbol |X| to denote the number of elements in a set X.
18. 0,σ and the set of these states is orthonormal.
19. 2 which follows from the Schwarz inequality.
20. 2 = 0, which follow from straightforward calculations.
21. G is expanded with respect to this basis and then use condition (5).