The Composite Operator Method (COM)

Abstract

The Composite Operator Method (COM) is formulated, its internals illustrated in detail and some of its most successful applications reported. COM endorses the emergence, in strongly correlated systems (SCS), of composite operators, optimally deals with their unusual features and implements algebra constraints, and other relevant symmetries, in order to properly compute the unconventional properties of SCS.

Strongly Correlated Systems: Theoretical Methods, Springer Series in Solid-State Sciences, Vol. 171 (2012) [ISBN 978-3-642-21830-9]

References in corpus (22)

• The Hubbard model within the equations of motion approach
• One-dimensional extended Hubbard model in the atomic limit
• Underdoped cuprates phenomenology in the 2D Hubbard model within COM(SCBA)
• Bosonic sector of the two-dimensional Hubbard model studied within a two-pole approximation
• The Composite Operator Method (COM)
• Fermionic systems with charge correlations
• Exact solution of the one-dimensional spin-$\frac{3}{2}$ Ising model in magnetic field
• The Hubbard model with intersite interaction within the Composite Operator Method
• Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice
• New perspectives on the Ising model
• The energy-scale-dependent Composite Operator Method for the single-impurity Anderson model
• Phase diagrams of half-filled 1D and 2D extended Hubbard model within COM
• Correlation-induced band suppression in the two-orbital Hubbard model
• Different orderings in the narrow-band limit of the extended Hubbard model on the Bethe lattice
• The charge and spin sectors of the $t$-$t^{\prime }$ Hubbard model
• The charge and spin sectors of the t-t' Hubbard model
• Study of the spin-$\frac{3}{2}$ Hubbard-Kondo lattice model by means of the Composite Operator Method
• Magnetic behavior of a spin-1 Blume-Emery-Griffiths model
• Effects of two-site composite excitations in the Hubbard model
• Antiferromagnetism in the 2D Hubbard model: phase transition and local quantities
• The Hubbard model: bosonic excitations and zero-frequency constants
• The Hubbard model: bosonic excitations and zero-frequency constants

Cited by in corpus (10)

• Mott insulators with boundary zeros
• Emery vs. Hubbard model for cuprate superconductors: a Composite Operator Method study
• Composite Operator Method analysis of the underdoped cuprates puzzle
• The Composite Operator Method (COM)
• Exact solution of the 1D Hubbard model in the atomic limit with inter-site magnetic coupling
• The composite operator method route to the 2D Hubbard model and the cuprates
• Single-particle properties of the Hubbard model in a novel three-pole approximation
• Electronic spectrum and superconductivity in the extended t-J-V model
• Strongly correlated superconductivity
• COM(3p) solution of the 2D Hubbard model: momentum resolved quantities