Ordering Phenomena in Transition Metal Oxides

From static to dynamical mean field theories of high temperature superconductivity   

Cellular Dynamical Mean Field theory [1] is a powerful extension of the single site DMFT, to capture the effects of short range correlations. We will review recent results of this approach applied to the Hubbard model, and how it captures essential aspects of the physics of the high temperature superconductors [2]. We will stress the similarities and the differences with an earlier static mean field approach [3].

[1] Gabriel Kotliar, Sergej Y. Savrasov, Gunnar Palsson, G. Biroli, Phys. Rev. Lett. 87, 186401 (2001).
[2] Work in collaboration with G. Biroli, M. Capone, M. Civelli, V. Kancharla-Sarma, and O. Parcollet.
[3] G. Kotliar, J. Liu, Phys. Rev. B 38, 5142-5145 (1988).