Abstract
We analyze the normal phase of the attractive Hubbard model within a dynamical meanfield theory. The normal phase can be stabilized even below the critical temperature for superconductivity by a sufficiently strong magnetic field. At weak coupling the low-temperature behavior of all quantities is consistent with Fermi liquid theory. At strong coupling all electrons are bound in pairs, which leads to a spin gap and removes fermionic quasi-particle excitations. The transition between the Fermi liquid phase and the pair phase takes place at a critical coupling of the order of the band-width and is generally discontinuous at sufficiently low temperature. It is equivalent to the Mott transition in the half-filled spin-polarized repulsive Hubbard model.
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Keller, M., Metzner, W., Schollwöck, U. (2003). Pairing Transition in a Normal Fermi System with Attractive Interactions. In: Vagner, I.D., Wyder, P., Maniv, T. (eds) Recent Trends in Theory of Physical Phenomena in High Magnetic Fields. NATO Science Series, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0221-9_5
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DOI: https://doi.org/10.1007/978-94-010-0221-9_5
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