Berlin 2008 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 32: Correlated Electrons: Poster Session
TT 32.88: Poster
Thursday, February 28, 2008, 14:00–18:00, Poster B
A Multi-Scale Many-Body Approach for Strongly Correlated Electrons — •Shuxiang Yang1,2, Thomas Pruschke1, and Mark Jarrell2 — 1Institut für Theoretische Physik, Georg-August-Universität Göttingen, Germany — 2Dept. of Physics, University of Cincinnati, Cincinnati, OH, USA
We present the parquet formalism which is based on the exact Feynman diagrammatical relationships of the vertex functions with different two-particle reducibilities. Within this formalism, five methods with different levels of approximation can be devised. One of them is the so-called Multi-Scale Many-body (MSMB) approach which separates the problem into short length scales treated explicitly with quantum Monte Carlo (QMC) methods, intermediate length scales treated diagrammatically using fully irreducible vertices obtained from QMC, and long length scales treated in the mean field. This approach will be used to develop a better understanding of materials such as lanthanides, actinides, and complex transition metal oxides where correlations over many length scales are central to the phase diagram, or to aid in material design to improve and search for new correlated materials.