Ferromagnetism in the Hubbard model on the square lattice: Improved instability criterion for the Nagaoka state | Zendy

Wurth P. | Zendy; Uhrig G. | Zendy; MüllerHartmann E. | Zendy

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Ferromagnetism in the Hubbard model on the square lattice: Improved instability criterion for the Nagaoka state

Author(s) -

Wurth P.,

Uhrig G.,

MüllerHartmann E.

Publication year - 1996

Publication title -

annalen der physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.009

H-Index - 68

eISSN - 1521-3889

pISSN - 0003-3804

DOI - 10.1002/andp.2065080204

Subject(s) - square lattice , spins , condensed matter physics , physics , hubbard model , instability , ferromagnetism , lattice (music) , hamiltonian (control theory) , quantum mechanics , ising model , superconductivity , mathematics , mathematical optimization , acoustics

The instability of the fully polarized ferromagnetic state (Nagaoka state) with respect to single spin flips is re‐examined for the Hubbard model on the square lattice with a large family of variational wave functions which include correlation effects of the majority spins in the vicinity of the flipped spin. We find a critical hole density of δ cr = 0.251 for U = ∞ and a critical coupling of U cr = 77.7 t . Both values improve previous variational results considerably.

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