Ferromagnetism in doubly degenerate Hubbard models near quarter-filled band

Journal of the Physical Society of Japan

Volumn 75, Issue 4, 2006, Pages

  Inagaki, Satoru ^a  

^a MEIJI UNIVERSITY   (Japan)

Author keywords

Doubly degenerate Hubbard model; Ferromagnetism; Hubbard model; Nagaoka's theorem; Orbital degeneracy; Orbital ordering; Strongly correlated electrons

Indexed keywords

EID: 33645739928     PISSN: 00319015     EISSN: 00319015     Source Type: Journal    
DOI: 10.1143/JPSJ.75.044706     Document Type: Article

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21. ik,ik+1 ≠ 0 for all k < K. Then, the theorem states that the eigenstate of M with the maximum eigenvalue is unique, and it can be written as a linear combination of all the basis vectors with strictly positive coeficients.