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Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 25: Disordered Quantum Systems

TT 25.2: Talk

Tuesday, April 2, 2019, 09:45–10:00, H23

Generalized Dynamical Mean-Field Theory for the Hubbard model with Off-Diagonal DisorderYi Zhang1, •Liviu Chioncel2, Hanna Terletska3, Ka Ming Tam1, Krzysztof Byczuk4, Mark Jarrell1, and Dieter Vollhardt21LSU, Baton Rouge, USA — 2EKM, TP III, Uni-Augsburg,Germany — 3MTU, Murfreesboro, USA — 4Uni Warsaw, Poland

We generalize dynamical mean-field theory to describe systems with off-diagonal (hopping) disorder. Our approach is based on the BEB formalism [1], which is an extension of the coherent potential approximation to study alloy systems with off-diagonal disorder. Here, within a cavity method [2] we show that the Hubbard model with bimodal off-diagonal disorder can be mapped onto an effective 2-band model coupled to two independent single impurity Anderson problems. Preliminary numerical results for spectral functions are presented. This method is formally exact in the infinite dimension. It can be extended to model multicomponent alloy systems with diagonal and off-diagonal disorders where electronic correlations are important.
J. A. Blackman, D. M. Esterling, N. F. Berk, Phys. Rev. B 4, 2412 (1971)
A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)

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