Abstract
In this chapter we study the Hubbard model in infinite dimensions. The limit d → ∞ is introduced in the first section. For models with localized spins it has been known for a long time that the results of mean-field approximations become exact in infinite dimensions. The intensive study of quantum-mechanical models with itinerant degrees of freedom in infinite dimensions has begun only recently. Hence, we expect further substantial progress in this direction in the future.
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© 1997 Springer-Verlag Berlin Heidelberg
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Gebhard, F. (1997). Hubbard Model in Infinite Dimensions. In: The Mott Metal-Insulator Transition. Springer Tracts in Modern Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-14858-2_5
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DOI: https://doi.org/10.1007/3-540-14858-2_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61481-4
Online ISBN: 978-3-540-14858-6
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