Stability of Ferromagnetism in Hubbard models with degenerate single-particle ground states

Details Stability of Ferromagnetism in Hubbard models with degenerate single-particle ground states Stability of Ferromagnetism in Hubbard models with degenerate single-particle ground states

1999-10-25

arxiv.org/abs/cond-mat/9910385v1

J. Phys. A: Math. Gen. 32 (1999) 8411-8418

Physics

Condensed Matter

Strongly Correlated Electrons

accepted for publication in J. Phys. A

Scientific paper

10.1088/0305-4470/32/48/304

A Hubbard model with a N_d-fold degenerate single-particle ground state has ferromagnetic ground states if the number of electrons is less or equal to N_d. It is shown rigorously that the local stability of ferromagnetism in such a model implies global stability: The model has only ferromagnetic ground states, if there are no single spin-flip ground states. If the number of electrons is equal to N_d, it is well known that the ferromagnetic ground state is unique if and only if the single-particle density matrix is irreducible. We present a simplified proof for this result.

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