journal article·2021-07-16Open access

Dynamical mean-field theory of the Anderson-Hubbard model with local and nonlocal disorder in tensor formulation

A. Weh, Y. Zhang, A. Östlin, H. Terletska, D. Bauernfeind, K.-M. Tam, H. G. Evertz, K. Byczuk, D. Vollhardt, L. Chioncel

Physical Review B· Volume 104· Issue 4

Abstract

To explore correlated electrons in the presence of local and nonlocal disorder, the Blackman-Esterling-Berk method for averaging over off-diagonal disorder is implemented into dynamical mean-field theory using tensor notation. The impurity model combining disorder and correlations is solved using the recently developed fork tensor-product state solver, which allows one to calculate the single particle spectral functions on the real-frequency axis. In the absence of off-diagonal hopping, we establish exact bounds of the spectral function of the noninteracting Bethe lattice with coordination number $Z$. In the presence of interaction, the Mott insulating paramagnetic phase of the one-band Hubbard model is computed at zero temperature in alloys with site- and off-diagonal disorder. When the Hubbard $U$ parameter is increased, transitions from an alloy band insulator through a correlated metal into a Mott insulating phase are found to take place.
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Research context

OpenAlex topics: Physics of Superconductivity and Magnetism · Quantum and electron transport phenomena · Quantum many-body systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Theoretical Physics II, Institute of Physics, University of Augsburg, 86135 Augsburg, Germany

Kavli Institute of Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China

Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, 86135 Augsburg, Germany

Augsburg Center for Innovative Technologies, University of Augsburg, 86135 Augsburg, Germany

Department of Physics and Astronomy, Middle Tennessee State University, Murfreesboro, Tennessee 37132, USA

Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, New York 10010, USA

Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA

Center for Computation & Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA

Institute of Theoretical and Computational Physics, Graz University of Technology, 8010 Graz, Austria

Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ulica Pasteura 5, 02-093 Warszawa, Poland

Funding

Deutsche Forschungsgemeinschaft · National Science Foundation · Fundamental Research Funds for the Central Universities

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