Short-range order in strongly correlated Fermi systems

Yu.B. Kudasov
All-Russian Scientific Research Institute of Experimental Physics — Federal Nuclear Centre, prosp. Mira 37, Sarov, Nizhny Novgorod region, 607190, Russian Federation

The role of short-range order (SRO) in strongly correlated metallic systems is discussed. Magnetic neutron scattering experiments show that SRO is a universal property of such systems. Different theoretical approaches to the analysis of SRO are considered. Microscopic models based on infinite-dimensional lattice solutions (the Monte Carlo variational technique, the 1/D+1/D² expansion for the Gutzwiller trial wave function, and the dynamical mean-field theory) do not correctly describe SRO in strongly correlated systems. A variational theory of SRO in Fermi systems is presented in which, in addition to Gutzwiller’s variational parameter, a set of new parameters describing nonlocal short-range correlations is used.

PACS: 71.10.Fd, 71.27.+a, 71.28.+d (all)
DOI: 10.1070/PU2003v046n02ABEH001284
URL: https://ufn.ru/en/articles/2003/2/a/
Web of Science

000183400800001
Citation: Kudasov Yu B "Short-range order in strongly correlated Fermi systems" Phys. Usp. 46 117–138 (2003)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Кудасов Ю Б «Ближний порядок в сильно коррелированных ферми-системах» УФН 173 121–144 (2003); DOI: 10.3367/UFNr.0173.200302a.0121

References (107) Cited by (7) Similar articles (20) ↓

Yu.A. Izyumov, E.Z. Kurmaev “Materials with strong electron correlations” Phys. Usp. 51 23–56 (2008)
Yu.A. Izyumov “Hubbard model of strong correlations” Phys. Usp. 38 385–408 (1995)
E.Z. Kuchinskii, I.A. Nekrasov, M.V. Sadovskii “Generalized dynamical mean-field theory in the physics of strongly correlated systems” Phys. Usp. 55 325–355 (2012)
R.O. Zaitsev, E.V. Kuz’min, S.G. Ovchinnikov “Fundamental ideas on metal-dielectric transitions in 3d-metal compounds” Sov. Phys. Usp. 29 322–342 (1986)
V.V. Val’kov, D.M. Dzebisashvili et al “Spin-polaron concept in the theory of normal and superconducting states of cuprates” Phys. Usp. 64 641–670 (2021)
V.R. Shaginyan, M.Ya. Amusia, K.G. Popov “Universal behavior of strongly correlated Fermi systems” Phys. Usp. 50 563–593 (2007)
A.P. Protogenov “Anyon superconductivity in strongly-correlated spin systems” Sov. Phys. Usp. 35 (7) 535–571 (1992)
Ya.S. Lyakhova, G.V. Astretsov, A.N. Rubtsov “Mean-field concept and post-DMFT methods in the modern theory of correlated systems” Phys. Usp. 66 775–793 (2023)
Yu.A. Izyumov “Strongly correlated electrons: the t-J model” Phys. Usp. 40 445–476 (1997)
Yu.A. Izyumov “Magnetism and superconductivity in strongly correlated systems” Sov. Phys. Usp. 34 (11) 935–957 (1991)
S.V. Demishev “Spin-fluctuation transitions” Phys. Usp. 67 22–43 (2024)
Yu.A. Izyumov “Spin-fluctuation mechanism of high-T_c superconductivity and order-parameter symmetry” Phys. Usp. 42 215–243 (1999)
V.Yu. Irkhin “Unusual magnetism of the Kondo lattice” Phys. Usp. 60 747–761 (2017)
V.T. Dolgopolov “Two-dimensional system of strongly interacting electrons in silicon (100) structures” Phys. Usp. 62 633–648 (2019)
L.N. Bulaevskii “Peierls structure transition in quasi-one-dimensional crystals” Sov. Phys. Usp. 18 131–150 (1975)
M.Yu. Kagan, K.I. Kugel’ “Inhomogeneous charge distributions and phase separation in manganites” Phys. Usp. 44 553–570 (2001)
S.G. Ovchinnikov “Quasiparticles in strongly correlated electron systems in copper oxides” Phys. Usp. 40 993–1017 (1997)
A.V. Nikolaev, A.V. Tsvyashchenko “The puzzle of the γ→α and other phase transitions in cerium” Phys. Usp. 55 657–680 (2012)
Yu.B. Kudasov, A.S. Korshunov et al “Frustrated lattices of Ising chains” Phys. Usp. 55 1169–1191 (2012)
Yu.A. Izyumov, Yu.N. Skryabin “Double exchange model and the unique properties of the manganites” Phys. Usp. 44 109–134 (2001)

The list is formed automatically.