Regensburg 2019 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 2: Correlated Electrons: Electronic Structure Calculations and Other Theoretical Topics
TT 2.7: Vortrag
Montag, 1. April 2019, 11:15–11:30, H7
The smothered phase separation - Microscopic Fermi liquid theory of the Mott transition — •Friedrich Krien1, Erik Gerardus Cornelis Petrus van Loon2, Mikhail Katsnelson2, Alexander Lichtenstein3, and Massimo Capone1 — 1Sissa, Trieste, Italien — 2Radboud University, Nijmegen, The Netherlands — 3University of Hamburg, Germany
The compressibility of the Mott insulating phase is vanishingly small, the doped Mott insulator however often exhibits a phase separation (divergence of the compressibility), which is a Pomeranchuk instability of the Fermi liquid in the charge sector. In order to better understand the counter-intuitive proximity of the two phases we calculate the two-particle Fermi liquid parameters in the DMFT approximation. Our analysis shows that the vanishing compressibility of the Mott insulator in fact requires the divergence of the charge forward scattering vertex at the Mott transition, which for finite quasi-particle weight would lead to a divergence of the compressibility. The proximity of the Mott phase is therefore connected to a tendency towards phase separation.