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TT: Fachverband Tiefe Temperaturen
TT 17: Poster Session: Correlated Electrons 1
TT 17.15: Poster
Montag, 1. April 2019, 15:00–18:30, Poster D
Modeling of single impurity scattering in correlated fermionic systems — •Banhi Chatterjee1, Jan Skolimowski2, and Krzysztof Byczuk3 — 1Institute of Physics, Czech Academy of Sciences, Prague, Czech Republic — 2Jozef Stefan Institute, Ljubljana, Slovenia — 3Institute of Theoretical Physics,Warsaw University, Warsaw,Poland
The one-body scattering formalism was modified [1] to describe effects of electronic correlations in many-body fermionic systems with a single impurity potential. We consider a single band model with the densities of states corresponding to Bethe, cubic and square lattice. Effects of correlations are accounted for using a model self-energy satisfying the Fermi liquid properties [2]. Here, we investigate effects of correlations on the spectral functions at the impurity site, scattering phase-shifts, and resonance energies. Depending on the geometry of the system a bound state may appear outside the continuous band for a strong enough impurity potential. However, these discrete eigen-energies are broadened when correlations are present. The bound state outside a continuum becomes a resonance-like state in correlated hosts. Our simple model can be useful in qualitative understanding of in-gap energy levels in real solids, which occur due to impurity atoms or defects with correlation Coulomb potential.
K. Byczuk, B. Chatterjee, D. Vollhardt, arXiv:1807.08559, accepted for publication
B. Chatterjee, K. Byczuk, JPCS: 592, 012059 (2015)