Séminaire du LPTMS: Eoin Quinn *** séminaire exceptionnel ***


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Splitting of electrons and violation of the Luttinger sum rule

Eoin Quinn (University of Amsterdam, The Netherlands)

We present a framework for organising the correlations of interacting electrons, which allows us to describe a regime of strongly correlated behaviour. We highlight 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 derive a systematic expansion of the electronic correlations, and compute the electronic spectral function at the leading order. This reveals a splitting in two of the electronic band, a violation of the Luttinger sum rule, and a Mott metal-insulator transition.


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