Equation of Motion Solutions to Hubbard Model retaining Kondo Effect

Abstract

We propose a new way of analyzing the Hubbard model using equations of motion (EOM) for the higher-order Green's functions approach within the DMFT scheme. In calculating the higher order Green function we will differentiate over both Times (t) and (t'). This allows us to obtain the metallic Fermi liquid at nonzero Coulomb interaction, where the three center density of states (DOS) structure with two Hubbard bands and the quasiparticle resonance peak is obtained. At small Coulomb interactions and zero temperature the height of the quasiparticle resonance peak on the Fermi energy is constant similarly as in the full DMFT method with numerical (Quantum Monte Carlo) or with analytical (e.g. iterative perturbation theory) calculations.

10 pages, 4 figures

References in corpus (12)

• A New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling
• Interpolating self-energy of the infinite-dimensional Hubbard model: Modifying the iterative perturbation theory
• Equation of motion approach to the solution of Anderson model
• The moment sum rule and its consequences for ferromagnetism in the Hubbard model
• Equation of motion approach to the Hubbard model in infinite dimensions
• Decoupling method for dynamical mean field theory calculations
• A fast impurity solver based on equations of motion and decoupling
• Validity of Equation-of-Motion Approach to Kondo Problem in the Large-$N$ limit
• Hubbard Model with Inter-Site Kinetic Correlations
• Ferromagnetism and the temperature-dependent electronic structure in thin Hubbard films
• Metal-insulator transition in the Hubbard model: a simple description including the Kondo effect
• Variational local moment approach: from Kondo effect to Mott transition in correlated electron systems

Cited by in corpus (6)

• Symmetric Improved Estimators for Continuous-time Quantum Monte Carlo
• Replicas of the Fano resonances induced by phonons in a subgap Andreev tunneling
• Influence of assisted hopping interaction on the linear conductance of quantum dot
• Exceptional Heavy-Fermion Semimetals in Three Dimensions
• Alternative equation of motion approach to the single-impurity Anderson model
• Electronic Dynamics of the Anderson Model. The Many-Body Approach