Bosonic sector of the two-dimensional Hubbard model studied within a two-pole approximation

Abstract

The charge and spin dynamics of the two-dimensional Hubbard model in the paramagnetic phase is first studied by means of the two-pole approximation within the framework of the Composite Operator Method. The fully self-consistent scheme requires: no decoupling, the fulfillment of both Pauli principle and hydrodynamics constraints, the simultaneous solution of fermionic and bosonic sectors and a very rich momentum dependence of the response functions. The temperature and momentum dependencies, as well as the dependency on the Coulomb repulsion strength and the filling, of the calculated charge and spin susceptibilities and correlation functions are in very good agreement with the numerical calculations present in the literature.

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• A generating functional approach to the Hubbard model
• Exact solution of the 1D Hubbard model in the atomic limit with inter-site magnetic coupling
• The charge and spin sectors of the $t$-$t^{\prime }$ Hubbard model
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• Spectral Function of a $d-p$ Hubbard Model
• The composite operator method route to the 2D Hubbard model and the cuprates
• Local properties of the t-J model in a two-pole approximation within COM
• The Hubbard model: bosonic excitations and zero-frequency constants
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• COM(3p) solution of the 2D Hubbard model: momentum resolved quantities