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This article is cited in 51 scientific papers (total in 51 papers)
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Materials with strong electron correlations
Yu. A. Izyumov, È. Z. Kurmaev Institute of Metal Physics, Ural Division of the Russian Academy of Sciences
Abstract:
The electron structure and physical properties of strongly correlated systems containing elements with unfilled 3d, 4d, and 5f shells are analyzed. These systems include several transition metals, rare-earth elements, and actinides, as well as their numerous compounds, such as various oxides exhibiting metal–insulator phase transitions, cuprates, manganites, f systems with heavy fermions, and Kondo insulators. It is shown that the low-energy physics of such systems is described by three basic models: the Hubbard model, the sd-exchange model, and the periodic Anderson model under the condition that the on-site Coulomb repulsion energy $U$ or the sd exchange energy $J$ is of the order of the conduction-band width $W$. This situation does not involve a small parameter and should be treated nonperturbatively. We describe one such approach, the dynamic mean-field theory (DMFT), in which a system is considered to be only dynamically but not spatially correlated. We show that this approach, which is fully justified in the limit of large spatial dimensions ($d\to\infty$), covers the entire physics of strongly correlated systems and adequately describes the phenomena they exhibit. Extending the DMFT to include spatial correlations enables various d and f systems to be quantitatively described. Being a subject of intense development in recent years, the DMFT is the most effective and universal tool for studying various strongly correlated systems.
Received: April 10, 2007 Revised: September 6, 2007
Citation:
Yu. A. Izyumov, È. Z. Kurmaev, “Materials with strong electron correlations”, UFN, 178:1 (2008), 25–60; Phys. Usp., 51:1 (2008), 23–56
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https://www.mathnet.ru/eng/ufn552 https://www.mathnet.ru/eng/ufn/v178/i1/p25
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Abstract page: | 633 | Full-text PDF : | 192 | References: | 49 | First page: | 1 |
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