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Kuz'min, E. V.
The singlet state in the Hubbard model with U=infinity / E. V. Kuz'min, I. O. Baklanov // J. Exp. Theor. Phys. - 1998. - Vol. 87, Is. 6. - P. 1159-1166, DOI 10.1134/1.558607. - Cited References: 16 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
HOLES
Аннотация: We discuss, in connection with the problem of the ground state in the Hubbard model with U = infinity, the normal (nonmagnetic) N-state of a system over the entire range of electron concentrations n less than or equal to 1. It is found that in a one-particle approximation, e. g., in the generalized Hartree-Fock approximation, the energy epsilon(0)(n) of the N-state is lower than the energy epsilon(FM)(n) of a saturated ferromagnetic state for all values of n. Using the random phase approximation we calculate the dynamical magnetic susceptibility and show that the N-state is stable for all values of n. A formally exact representation is derived for the mass operator of the one-particle electron Green's function, and its expression in the self-consistent Born approximation is obtained. We discuss the first Born approximation and show that when correlations are taken into account, the attenuation vanishes on the Fermi surface and the electron distribution function at T = 0 acquires a Migdal discontinuity, whose magnitude depends on n. The energy of the N-state in this approximation is still lower than epsilon(FM)(n) for n 1.We show that the spin correlation functions are isotropic, which is a characteristic feature of the singlet states of the system. We calculate the spin correlation function for the nearest neighbors in the zeroth approximation as a function of n. Finally, we conclude that the singlet state of the system in the thermodynamic limit is the ground state. (C) 1998 American Institute of Physics. [S1063-7761(98)01712-0].

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Держатели документа:
Krasnoyarsk State Univ, Krasnoyarsk 660062, Russia
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Baklanov, I. O.
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Kuzmin, E. V.
The ground state problem in the infinite-U Hubbard model / E. V. Kuzmin // Phys. Solid State. - 1997. - Vol. 39, Is. 2. - P. 169-178, DOI 10.1134/1.1130126. - Cited References: 36 . - ISSN 1063-7834

РУБ Physics, Condensed Matter
Рубрики:
NAGAOKA FERROMAGNETIC STATE
   INSTABILITY
   HOLES
   BAND
Аннотация: The problem of the ground state of the electronic system in the Hubbard model for U=infinity is discussed. The author investigates the normal (singlet or nonmagnetic) N state of the electronic system over the entire range of electron densities n less than or equal to 1. It is shown that the energy of the N state epsilon(0)((1))(n) in a one-particle approximation, such as (e.g.) the extended Hartree-Fock approximation, is lower than the energy of the saturated ferromagnetic FM state epsilon(FM)(n) for all n. The dynamic magnetic susceptibility is calculated in the random phase approximation, and it is shown that the N state is stable over the entire range of electron densities: The static susceptibility (omega=0) does not have a band singularity in the zero-wave vector limit q--0. A formally exact representation is obtained for the mass operator of the one-particle Green's function, and an approximation of this operator is proposed: M-k(E)similar or equal to lambda F(E), where lambda=n(1-n)/(1-n/2)z is the kinematic interaction parameter, z is the number of nearest neighbors, and F(E) is the total single-site Green's function. For an elliptical density of states the integral equation for F(E) is solved exactly, ad it is shown that the spectral intensity rigorously satisfies the sum rule. The calculated energy of the strongly correlated N state epsilon(0)(n)epsilon(FM)(n) for all n, and in light of this relationship the author discusses the hypothesis that the ground state of the system is the normal (singlet) state in the thermodynamic limit. The electron distribution function at T

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Держатели документа:
L.V. Kirenskii Inst. of Phys., Siberian Br. Russ. Acad. of Sci., 660036 Krasnoyarsk, Russian Federation
ИФ СО РАН

Доп.точки доступа:
Кузьмин, Евгений Всеволодович
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Ovchinnikov, S. G.
Effects of intense electron correlations on x-ray and x-ray electron copper spectra of high-temperature superconductors / S. G. Ovchinnikov, P. V. Avramov // Fiz. Tverd. Tela. - 1995. - Vol. 37, Is. 9. - P. 2559-2567. - Cited References: 22 . - ISSN 0367-3294

РУБ Physics, Condensed Matter
Рубрики:
HIGH-ENERGY SPECTROSCOPY
   HIGH-TC SUPERCONDUCTORS
   SATELLITES
   LA2CUO4
   OXIDES
   HOLES
   STATE

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Доп.точки доступа:
Avramov, P. V.; Аврамов, Павел Вениаминович; Овчинников, Сергей Геннадьевич
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OVCHINNIKOV, S. G.
EFFECT OF ORTHORHOMBIC ILISTORTIONS ON THE X-RAY AND X-RAY ELECTRON-SPECTRA OF COPPER OXIDES / S. G. OVCHINNIKOV // Fiz. Tverd. Tela. - 1993. - Vol. 35, Is. 3. - P. 617-623. - Cited References: 9 . - ISSN 0367-3294

РУБ Physics, Condensed Matter
Рубрики:
HIGH-TC
HOLES

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