Optimized phonon approach for the diagonalization of electron-phonon problems

Abstract

We propose a new optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems combining density-matrix and Lanczos algorithms. We demonstrate the reliablity of this approach by calculating the phase diagram for bi-polaron formation in the one-dimensional Holstein-Hubbard model, and the Luttinger parameters for the metallic phase of the half-filled one-dimensional Holstein model of spinless fermions.

4 pages, 4 figures included, submitted to Phys. Rev. B

References in corpus (7)

• Hall-Effect Sign Anomaly and Small-Polaronic Conduction in (La_{1-x}Gd_x)_{0.67}Ca_{0.33}MnO_3
• Polarons and bipolarons in strongly interacting electron-phonon systems
• Density Matrix Approach to Local Hilbert Space Reduction
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• Optical absorption and single-particle excitations in the 2D Holstein t-J model
• Quantum Monte Carlo study of the one-dimensional Holstein model of spinless fermions
• Peierls instability and optical response in the one--dimensional half--filled Holstein model of spinless fermions

Cited by in corpus (43)

• The density-matrix renormalization group
• Critical and strong-coupling phases in one- and two-bath spin-boson models
• Two-dimensional Hubbard-Holstein bipolaron
• Quantum Monte Carlo and variational approaches to the Holstein model
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Polaron dynamics with a multitude of Davydov D${}_2$ trial states
• Spectral function of electron-phonon models by cluster perturbation theory
• Zero-Temperature Phases of the 2D Hubbard-Holstein Model: A Non-Gaussian Exact Diagonalization Study
• Charge-density-wave melting in the one-dimensional Holstein model
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Phonon Effects on Spin-Charge Separation in One Dimension
• Luttinger parameters and momentum distribution function for the half-filled spinless fermion Holstein model: A DMRG approach
• Electron-phonon interaction in Strongly Correlated Systems
• Quantum-entanglement aspects of polaron systems
• Density matrix renormalization group approach of the spin-boson model
• Numerical study of the $E\otimes e$ Jahn-Teller polaron and bipolaron
• Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons
• Spatiotemporal evolution of polaronic states in finite quantum systems
• Comparative Study of State-of-the-Art Matrix-Product-State Methods for Lattice Models with Large Local Hilbert Spaces
• Dynamic charge correlations near the Peierls transition
• Density waves in strongly correlated quantum chains
• A variational approach to the optimized phonon technique for electron-phonon problems
• Single-particle spectral function of the Holstein-Hubbard bipolaron
• Bipolarons from long range interactions: Singlet and triplet pairs in the screened Hubbard-Froehlich model on the chain
• Light and stable triplet bipolarons on square and triangular lattices
• Quantized Lattice Dynamic Effects on the Peierls transition of the Extended Hubbard Model
• Peierls-insulator Mott-insulator transition in 1D
• Polaron and bipolaron formation in the Hubbard-Holstein model: role of next-nearest neighbor electron hopping
• Mobile small bipolarons on a three-dimensional cubic lattice
• A new self-consistent basis generation scheme for polaron and bipolaron systems
• Open Wilson chains for quantum impurity models: Keeping track of all bath modes
• Properties of the single-site reduced density matrix in the Bose-Bose resonance model in the ground state and in quantum quenches
• Quantized Lattice Dynamic Effects on the Spin-Peierls Transition
• Direct observation of the effective bending moduli of a fluid membrane: Free-energy cost due to the reference-plane deformations
• Chebyshev pseudosite matrix product state approach for the spectral functions of electron-phonon coupling systems
• Density Matrix Renormalization Group study on incommensurate quantum Frenkel-Kontorova model
• Bipolaron formation in 1D-3D quantum dots: A lattice quantum Monte Carlo approach
• Density matrix of electrons coupled to phonons and the electron-phonon entanglement content of excited states
• Density-Matrix Algorithm for Phonon Hilbert Space Reduction in the Numerical Diagonalization of Quantum Many-Body Systems
• Effect of screening of the electron-phonon interaction on the temperature of Bose-Einstein condensation of intersite bipolarons
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Error analysis of the density-matrix renormalization group algorithm for a chain of harmonic oscillators
• Variational Tensor Network Simulation of Gaussian Boson Sampling and Beyond