Variational approach to the optimized phonon technique for electron-phonon problems

2004/07/16 by V. Cataudella, G. De Filippis, F. Martone +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Connection (principal bundle) #Electron #Lattice (music) #Magnetic and transport properties of perovskites and related materials #Mathematics #Phonon #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Superconductivity in MgB2 and Alloys #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.70.193105

published as Phys. Rev. B 70, 193105 (2004) · 4 figures; submitted to Phys. Rev. B

arxiv created 2004/07/16 · openalex publication_date 2004/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems is proposed. The variational method is based on an expansion in coherent states that leads to a dramatic truncation in the phonon space. The reliability of the approach is demonstrated for the extended Holstein model showing that different types of lattice distortions are present at intermediate electron-phonon couplings as observed in strongly correlated systems. The connection with the density matrix renormalization group is discussed.

Citations

• Angle-resolved photoemission studies of the cuprate superconductors
• Density-matrix renormalization-group study of the polaron problem in the Holstein model
• Optimized phonon approach for the diagonalization of electron-phonon problems
• Peierls instability and optical response in the one-dimensional half-filled Holstein model of spinless fermions
• Neutron Diffraction Evidence of Microscopic Charge Inhomogeneities in theCuO2Plane of SuperconductingLa2−xSrxCuO4(0≤x≤0.30)

Cited by

• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model