From Slater to Mott-Heisenberg physics: The antiferromagnetic phase of the Hubbard model

Details From Slater to Mott-Heisenberg physics: The antiferromagnetic phase of the Hubbard model From Slater to Mott-Heisenberg physics: The antiferromagnetic phase of the Hubbard model

2003-09-08

arxiv.org/abs/cond-mat/0309192v1

J. Phys.: Condens. Matter 15, 7867 (2003)

Physics

Condensed Matter

8 pages, 9 figures

Scientific paper

10.1088/0953-8984/15/46/006

We study the optical conductivity of the one-band Hubbard model in the N\'eel state at half filling at T=0 using the dynamical mean-field theory. For small values of the Coulomb parameter clear signatures of a Slater insulator expected from a weak-coupling theory are found, while the strongly correlated system can be well described in terms of a Mott-Heisenberg picture. However, in contrast to the paramagnet, we do not find any evidence for a transition between these two limiting cases but rather a smooth crossover as a function of the Coulomb interaction.

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