Towards a Predictive Theory of Strongly-Correlated Electron Materials

Gabriel Kotliar (Rutgers University, New Jersey & Brookhaven National Laboratories, New York) — March 20, 2018

Abstract :
The standard model of solids, grounded on Fermi-Liquid theory and powerful computational techniques, provides an accurate description of many materials of great technological significance.
Correlated electron systems are materials which fall outside the standard model of solid-state physics. They display remarkable emergent phenomena as for example metal to insulator transitions and unconventional high temperature superconductivity. The most recent example provided by the iron-based high-temperature superconductors. From a theoretical perspective correlated electrons pose a most challenging non-perturbative problem in physics.
In this Colloquium I will give an elementary introduction to the field of strongly correlated electron systems and Dynamical Mean Field Theory (DMFT) a non-perturbative method which provided a zeroth order picture of the strong correlation phenomena in close analogy with the Weiss mean-field theory in statistical mechanics.
Applications to materials containing f and d electrons will be presented to show how the anomalous properties of correlated materials emerge from their atomic constituents. Different roads for the formation of strongly correlated states, will be traced to Mott Hubbard and Hunds physics. I will conclude with an outlook of the challenges ahead and the perspectives for rational material design using strongly-correlated materials.

Biography :
Gabriel Kotliar is a Board of Governors Professor at Rutgers University and a Managing Director of the Center for Computational Material Spectroscopy and Design (COMSCOPE) at Brookhaven National Lab.

He is famous for his fundamental contributions to the theory of strongly-correlated electron systems —the theory of the Mott transition, superconductivity in strongly-correlated electron systems, Hund metals, etc— and the development of first principles approaches for predicting physical properties of these materials.

Gabriel was an Alfred P. Sloan Research Fellow in 1986-1988, received a Presidential Young Investigator Award in 1987, a Lady Davies Fellowship in 1994, a Guggenheim fellowship in 2003, the Blaise Pascal Chair in 2005 and the Agilent Technologies Europhysics Prize in 2006.

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