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We prove that Nagaoka's theorem, that the ground state of the large-U Hubbard model with exactly one hole is ferromagnetic, holds for any balanced Hamiltonian. We argue that, in itinerant… Click to show full abstract
We prove that Nagaoka's theorem, that the ground state of the large-U Hubbard model with exactly one hole is ferromagnetic, holds for any balanced Hamiltonian. We argue that, in itinerant electron systems, a balanced Hamiltonian, rather than bipartite lattice, defines an unfrustrated system. The proof is valid for multiorbital models with arbitrary two-orbital interactions provided that no exchange interactions are antiferromagnetic: a class of models including the Kanomori Hamiltonian.
Keywords:
electron systems;
balance frustration;
itinerant electron;
frustration strongly;
nagaoka theorem
Journal Title: Physical Review B
Year Published: 2017
Link to full text (if available)
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Journal Title: Physical Review B
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!