- Autor(in)
- Referenz
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13 U. Brandt, R. Schmidt, Z. Phys. B 63 (1986) 45;
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20 R. Berger, Diploma thesis (RWTH Aachen, 1995), unpublished
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Z. Phys. B 67 (1987) 43
- Seitenbereich
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0045 - 0067
- Schlagwort(e)
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<KWD>Simplified Hubbard model
Magnetic field
Mott-Hubbard transition
- Zusammenfsg.
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We study the density of states (DOS) as a function of the interaction <I>U</I> in the half-filled simplified Hubbard model in a magnetic field. This model is considered on the Bethe lattice in the limit of high dimensions. We show that the DOS can be calculated <I>exactly</I>, and that many of its properties have an astonishingly simple form. In particular, the DOS can be investigated <I>explicitly</I> in the limits of weak and strong coupling and near the metal-insulator transition. E.g., we find an explicit result for the critical value <I>U</I><sub><I>c</I></sub>, at which the metal-insulator transition occurs, as a function of the magnetization. The relation between the magnetization and the magnetic field is calculated numerically. An important result is that the metal-insulator transition, occurring in the model with <I>B</I> = 0, is continuously connected to the metal-insulator transition in the subspace of single spin flips.
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- Forschungsartikel