Dresden 2017 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 61: Correlated Electrons: (General) Theory 2
TT 61.12: Talk
Thursday, March 23, 2017, 12:30–12:45, HSZ 204
Relating correlation measures: the importance of the energy gap — •Carlos L. Benavides-Riveros1, Nektarios Lathiotakis2, Christian Schilling3, and Miguel A. L. Marques1 — 1Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany — 2Theoretical and Physical Chemistry Institute, National Hellenic Research Foundation, GR-11635 Athens, Greece — 3Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
The concept of correlation is at the core of all approaches to describe many-body quantum systems. In general, multipartite correlation is a property that can be assigned to quantum states independent of the underlying physics (Hamiltonian). This is in contrast to quantum chemistry where the correlation energy (the energy not seized by the Hartree-Fock ansatz) plays a more prominent role. By concise means, we show that these two different viewpoints on the concept of correlation are closely related. By studying few site Hubbard models and the hydrogen dimer H2 we relate popular fermionic correlation measures to the correlation energy and emphasize the role of the energy gap.