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This article is cited in 4 scientific papers (total in 4 papers)
REVIEWS OF TOPICAL PROBLEMS
Mean-field concept and post-DMFT methods in the modern theory of correlated systems
Ya. S. Lyakhovaab, G. V. Astretsovac, A. N. Rubtsovac a Russian Quantum Center, Skolkovo, Moscow
b National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow
c Lomonosov Moscow State University
Abstract:
We briefly review methods for modeling correlated systems. The concept of correlations is of fundamental physical importance for systems such as Mott–Hubbard insulators, high-temperature superconductors, molecular magnets, and twisted bilayer graphene. With the Hubbard model chosen as a reference, we systematically describe various numerical methods, starting with the mean-field and related theories that map the physical system under study onto an effective interaction-free ensemble. We also discuss the dynamical mean-field theory (DMFT), which is one of the most common modern methods to describe local correlations exactly. DMFT-based diagram methods incorporate effects of nonlocal physics to varying degrees, with the local correlations taken into account in full. In addition, we describe the nondiagram fluctuating local field method, whereby fluctuations of the leading collective modes of the system can be treated nonperturbatively.
Received: March 14, 2022 Revised: September 6, 2022 Accepted: September 7, 2022
Citation:
Ya. S. Lyakhova, G. V. Astretsov, A. N. Rubtsov, “Mean-field concept and post-DMFT methods in the modern theory of correlated systems”, UFN, 193:8 (2023), 825–844; Phys. Usp., 66:8 (2023), 775–793
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https://www.mathnet.ru/eng/ufn14625 https://www.mathnet.ru/eng/ufn/v193/i8/p825
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Abstract page: | 119 | Full-text PDF : | 8 | References: | 14 | First page: | 7 |
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