Quantum fluctuations on the Gutzwiller approximation of the Hubbard model

Journal Article · Sat Oct 01 04:00:00 EDT 1988 · Int. J. Mod. Phys. B; (United States)

DOI:https://doi.org/10.1142/S0217979288000421· OSTI ID:5809022

Lavagna, M

Many experimental results seem to relate the superconducting oxides to the phenomenon of Mott localization in strongly correlated systems. The authors give a brief review of the different theories developed until then to treat the Mott localization in the Hubbard model: variational Ansatz of Gutzwiller of RVB Ansatz, leading to fundamentally different ground states. In this context, the authors propose a new approach which consists to take account of the quantum fluctuations around the mean-field solution provided by the Gutzwiller approximation. They show how to understand the ground state in terms of a resonance (split by the Mott gap in the almost-localized regime) in complete analogy with the Abrikosov-Suhl resonance of the Kondo problem - heavy fermions. Superconductivity appears as induced by the constrained intersite correlations developed by quantum fluctuations around this resonant state.

• Research Organization: ILL, 156X, 38042 Grenoble Cedex (FR)
• OSTI ID: 5809022
• Journal Information: Int. J. Mod. Phys. B; (United States), Journal Name: Int. J. Mod. Phys. B; (United States) Vol. 2:5; ISSN IJPBE
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360204 -- Ceramics
Cermets
& Refractories-- Physical Properties
656100* -- Condensed Matter Physics-- Superconductivity
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
CHALCOGENIDES
CORRELATION FUNCTIONS
DATA
ELASTIC SCATTERING
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY LEVELS
EXPERIMENTAL DATA
FERMIONS
FLUCTUATIONS
FUNCTIONS
GROUND STATES
HARMONICS
HIGH TEMPERATURE
INFORMATION
MAGNETISM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MOTT SCATTERING
NUCLEAR MODELS
NUMERICAL DATA
OSCILLATIONS
OXIDES
OXYGEN COMPOUNDS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SCATTERING
SUPERCONDUCTIVITY
SUPERCONDUCTORS
VARIATIONS
WEAK-COUPLING MODEL