# Condensed-Matter Physics & Materials Science Seminar

## "Splitting of electrons and violation of the Luttinger sum rule"

#### Presented by Eoin Quinn, University of Amsterdam, Netherlands

Thursday, March 15, 2018, 1:30 pm — ISB Bldg. 734 Conf. Rm. 201 (upstairs)

We obtain a controlled description of a strongly correlated regime of electronic behaviour. We argue that there are two ways to characterise the electronic degree of freedom, either by the canonical fermion algebra or by the graded Lie algebra su(2|2). The first underlies the Fermi liquid description of correlated matter, and we identify a novel regime governed by the latter. We obtain the electronic spectral function within a controlled approximation, and find a splitting in two of the electronic band. The Luttinger sum rule is violated and a Mott metal-insulator transition is exhibited.

Hosted by: Robert Konik

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