Seminars & Lectures
* TITLE | Dynamical mean field approach to correlated electron systems in and out of equilibrium | ||||||
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* HOST(Applicant) | |||||||
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* DATE / TIME | 2010-03-26, 4:30 pm | ||||||
* PLACE | APCTP Seoul Branch Office | ||||||
* ABSTRACT | |||||||
Materials characterized by strong electron-electron correlations exhibit some of the most remarkable properties found in condensed matter systems. They may react very sensitively to changes in external parameters, contain quasi-particles with unusually heavy masses or show unconventional forms of superconductivity. While new classes of interesting materials are being discovered at a constant pace, an alternative perspective on their physics will soon be provided by pump- probe experiments which measure the nonequilibrium properties of correlated electron systems with femto-second time resolution. The growing amount of experimental data provides a challenge to theorists to develop the tools needed to gain insights into the behavior of complex materials in and out of equilibrium. A very useful theoretical framework is dynamical mean field theory (DMFT) [1], which is based on the assumption of a momentum independent self-energy and therefore allows to map a lattice problem to a quantum impurity model subject to a self-consistency condition. I will explain how the recent development of powerful diagrammatic Monte Carlo methods for impurity models [2] enables the efficient investigation of realistic multi- orbital models [3] and how the extension of the dynamical mean field formalism to frequency dependent interactions will allow the \"ab- initio\" simulation of strongly correlated materials [4]. I will furthermore discuss how the DMFT method and diagrammatic impurity solvers can be implemented on the real-time axis [5] and illustrate the formalism with nonequilibrium DMFT results for the relaxation dynamics of the Hubbard model [6]. [1] W. Metzner and D. Vollhardt, PRL 62, 324 (1989); A. Georges and G. Kotliar, PRB 45, 6479 (1992) [2] A. Rubtsov et al., PRB 72, 35122 (2005); P. Werner et al., PRL 97, 76405 (2006) [3] P. Werner et al., PRL 101, 166405 (2008) [4] F. Aryasetiawan et al., PRB 70, 195104 (2004); P. Werner and A. J. Millis, arXiv:1001.1377 (2010) [5] J. K. Freericks et al., PRL 97, 266408 (2006); P. Werner, T. Oka, A. J. Millis, PRB 79, 035320 (2009) [6] M. Eckstein, M. Kollar, P. Werner, PRL 103, 56403 (2009). |