Ruprecht-Karls-Universität Heidelberg
University of HeidelbergFaculty of Physics and AstronomyInstitut of Theoretical PhysicsAndreas MielkeAndreas Mielkeemail

Andreas Mielke
Institut for Theoretical Physics
Ruprecht-Karls University
Philosophenweg 19
D-69120 Heidelberg
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Andreas Mielke, Hal Tasaki: Ferromagnetism in the Hubbard model - Examples from Models with Degenerate Single-Electron Ground States
Commun. Math. Phys.158, 341-371 (1993) .

Archiv: cond-mat/9305026


Whether spin-independent Coulomb interaction can be the origin of a realistic ferromagnetism in an itinerant electron system has been an open problem for a long time. Here we study a class of Hubbard models on decorated lattices, which have a special property that the corresponding single-electron Schrödinger equation has $N_{\rm d}$-fold degenerate ground states. The degeneracy $N_{\rm d}$ is proportional to the total number of sites $\abs{\Lambda}$. We prove that the ground states of the models exhibit ferromagnetism when the electron filling factor is not more than and sufficiently close to $\rho_0=N_{\rm d}/(2\abs{\Lambda})$, and paramagnetism when the filling factor is sufficiently small. An important feature of the present work is that it provides examples of three dimensional itinerant electron systems which are proved to exhibit ferromagnetism in a finite range of the electron filling factor.


author="Andreas Mielke, Hal Tasaki",
title="Ferromagnetism in the Hubbard model - Examples from Models with Degenerate Single-Electron Ground States",
journal="Commun. Math. Phys.",

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Last changes: 15.11.2017.