Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

Antipov, A. E.; Held, K.; Rubtsov, A. N.; Lichtenstein, A. I.; Katsnelson, M. I.; Katanin, A. A.; Toschi, A; Hafermann, H.; Rohringer, G.

doi:10.1103/RevModPhys.90.025003

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Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

Author(s): G. Rohringer , H. Hafermann , A. Toschi , A. A. Katanin , A. E. Antipov , M. I. Katsnelson , A. I. Lichtenstein , A. N. Rubtsov , K. Held

Publication date (Electronic): May 9 2018

Journal: Reviews of Modern Physics

Publisher: American Physical Society (APS)

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Wilhelm Zwerger, Jean Dalibard, Immanuel Bloch (2007)

This article reviews recent experimental and theoretical progress on many-body phenomena in dilute, ultracold gases. Its focus are effects beyond standard weak-coupling descriptions, like the Mott-Hubbard-transition in optical lattices, strongly interacting gases in one and two dimensions or lowest Landau level physics in quasi two-dimensional gases in fast rotation. Strong correlations in fermionic gases are discussed in optical lattices or near Feshbach resonances in the BCS-BEC crossover.