Dynamical Mean-Field Theory

E484699

Dynamical Mean-Field Theory is a non-perturbative theoretical approach in condensed matter physics that captures local electronic correlations by mapping lattice models onto self-consistent quantum impurity problems, enabling the study of phenomena such as the Mott metal–insulator transition.

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Predicate Object
instanceOf many-body method
theoretical framework in condensed matter physics
aimsTo capture local electronic correlations
alsoKnownAs DMFT NERFINISHED
appliesTo Hubbard model NERFINISHED
Kondo lattice model NERFINISHED
periodic Anderson model
assumes local self-energy
basedOn mapping of lattice models to quantum impurity models
becomesExactInLimit infinite lattice coordination number
infinite spatial dimensions
canDescribe Kondo screening
Mott metal–insulator transition NERFINISHED
bad metals
correlated metals
heavy-fermion behavior
captures Hubbard bands
dynamical screening effects
quasiparticle peak
characteristic local approximation
non-perturbative
self-consistent
coreQuantity hybridization function
local Green's function
local self-energy
developedBy Antoine Georges NERFINISHED
Gabriel Kotliar NERFINISHED
Marc J. Rozenberg NERFINISHED
Werner Krauth NERFINISHED
extension DFT+DMFT NERFINISHED
LDA+DMFT NERFINISHED
field condensed matter physics
strongly correlated electron systems
generalization cluster dynamical mean-field theory
dynamical cluster approximation NERFINISHED
neglects non-local spatial correlations in its simplest form
notablePublication Georges et al., Reviews of Modern Physics 68, 13 (1996)
requiresSolutionMethod continuous-time quantum Monte Carlo
exact diagonalization impurity solver
iterated perturbation theory impurity solver
numerical renormalization group impurity solver
quantum Monte Carlo impurity solver
usedFor finite-temperature phase diagrams of correlated systems
optical conductivity of correlated materials
photoemission spectra of correlated materials
realistic electronic structure of correlated materials
study of f-electron systems
study of high-temperature superconductors
study of transition metal oxides
uses quantum impurity problem
self-consistency condition
yearOfKeyReview 1996

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Mott transition theoreticalFramework Dynamical Mean-Field Theory