A variational approach to the optimized phonon technique for electron-phonon problems

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.

arXiv comment4 figures; submitted to Phys. Rev. B

References in corpus (16)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• How to detect fluctuating order in the high-temperature superconductors
• Superconductivity in Fullerides
• Density matrix renormalization group study of the polaron problem in the Holstein model
• Atomic-scale images of charge ordering in a mixed-valence manganite
• On the Fermi Liquid to Polaron Crossover I: General Results
• Neutron diffraction evidence of microscopic charge inhomogeneities in the CuO2 plane of superconducting La2-xSrxCuO4 (0 < x <0.30)
• Continuous-Time Quantum Monte Carlo Algorithm for the Lattice Polaron
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• Polaron Effective Mass, Band Distortion, and Self-Trapping in the Holstein Molecular Crystal Model
• Infrared signatures of charge stripes in La(2-x)Sr(x)CuO(4)
• 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
• A new variational approach for the Holstein Molecular Crystal Model
• The Charge Ordered State from Weak to Strong Coupling
• Gap to Transition Temperature Ratio in Density Wave Ordering: a Dynamical Mean Field Study

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• Polaron dynamics with a multitude of Davydov D${}_2$ trial states
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• Density-matrix embedding theory study of the one-dimensional Hubbard-Holstein model
• Single polaron properties of the breathing-mode Hamiltonian
• Localization-delocalization transition of a polaron near an impurity
• Variational Monte Carlo Method for Electron-Phonon Coupled Systems
• Distribution of localized states from fine analysis of electron spin resonance spectra of organic semiconductors: Physical meaning and methodology
• Phase diagram of the Holstein polaron in one dimension
• Non-local composite spin-lattice polarons in high temperature superconductors
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• An approach for studying the influence of uniaxial strain (pressure) on the temperature of the Bose-Einstein condensation of intersite bipolarons: possible implementation for RBa${}_2$Cu${}_3$O${}_{7-\delta }$ cuprates
• First-order transitions in spin chains coupled to quantum baths
• Mass of a lattice polaron from extended Holstein model using Yukawa potential