Regensburg 2013 – scientific programme

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MA: Fachverband Magnetismus

MA 42: Focus Session: Dynamical Mean-Field Approach to Correlated Electron Materials (jointly with MA)

MA 42.5: Topical Talk

Thursday, March 14, 2013, 17:15–17:45, H20

Electronic Correlations beyond Dynamical Mean Field Theory — •Karsten Held — Institute for Solid State Physics, TU Wien

Dynamical mean field theory has been a big step forward for our understanding of electronic correlations. A major part of the electronic correlations, the local ones, are included. The arguably most fascinating physical phenomena of solid state physics, however, such as (quantum) criticality and the physics of high-T superconductors are based on non-local correlations.

To address these problems, recently diagrammatic extensions of the dynamical mean field theory have been developed, coined dynamical vertex approximation [1] and dual fermion approach [2]. Among others, these approaches allow for describing spin-fluctuation-mediated pseudogaps and for calculating critical exponents of the Hubbard model [3].
[1] A. Toschi, A. A. Katanin, and K. Held, Phys. Rev. B 75, 045118 (2007)
A. N. Rubtsov, M. I. Katsnelson, and A. I. Lichtenstein, Phys. Rev. B 77, 033101 (2008)
G. Rohringer, A. Toschi, A. Katanin, and K. Held, Phys. Rev. Lett. 107, 256402 (2011)