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Dresden 2026 – scientific programme

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MM: Fachverband Metall- und Materialphysik

MM 41: Development of Calculation Methods II

MM 41.4: Talk

Friday, March 13, 2026, 11:00–11:15, SCH/A251

A Demonstration of the Finite-Temperature Upside-Down Adiabatic Connection with the Asymmetric Hubbard Dimer — •Vincent Martinetto1,2,3, Juri Grossi1, and Aurora Pribram-Jones11University of California, Merced, CA 95343, United States — 2Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany — 3Center for Advanced Systems Understanding, 02826 Görlitz, Germany

The finite-temperature upside-down adiabatic connection is an integral expression for the decorrelation free energy, a quantity of interest when considering finite-temperature strictly correlated electrons. This approach smoothly connects a thermal ensemble of strictly correlated electrons to an ensemble with realistic interaction strength while requiring the density of the system to remain fixed across all interaction strengths. As the strictly correlated limit is the natural opposite of the Kohn-Sham limit, it can provide new insights into the difficult regime of strong correlation in finite-temperature systems. An exact demonstration of the upside-down finite-temperature adiabatic connection will be performed with the asymmetric Hubbard dimer, along with a discussion of strong correlation in finite-temperature systems.

Keywords: Density Functional Theory; finite temperature; hubbard model; adibatic connection; correlation

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