Gap formation and soft phonon mode in the Holstein model

Abstract

We investigate electron-phonon coupling in many-electron systems using dynamical mean-field theory in combination with the numerical renormalization group. This non-perturbative method reveals significant precursor effects to the gap formation at intermediate coupling strengths. The emergence of a soft phonon mode and very strong lattice fluctuations can be understood in terms of Kondo-like physics due to the development of a double-well structure in the effective potential for the ions.

Cited by in corpus (80)

• The numerical renormalization group method for quantum impurity systems
• Nonequilibrium dynamical mean-field theory and its applications
• Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
• Breakdown of Migdal-Eliashberg theory; a determinant quantum Monte Carlo study
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model
• Interplay between electron-phonon and Coulomb interactions in cuprates
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Quantum transport through a deformable molecular transistor
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Nonlinear response of Bloch electrons in infinite dimensions
• BCS - BEC crossover at T=0: A Dynamical Mean Field Theory Approach
• Dynamic response functions for the Holstein-Hubbard model
• Quantitative reliability of Migdal-Eliashberg theory for strong electron-phonon coupling
• Electron-phonon interaction and antiferromagnetic correlations
• Phonon softening and double-well potential formation due to electron-phonon interaction in heavy-fermion systems
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Competition between antiferromagnetic and charge order in the Hubbard-Holstein model
• Pseudogap crossover in the electron-phonon system
• Dynamical mean-field theory of Hubbard-Holstein model at half-filling: Zero temperature metal-insulator and insulator-insulator transitions
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
• Multiple amplitude modes in strongly-coupled phonon-mediated superconductors
• Numerical renormalization group study of the symmetric Anderson-Holstein model: phonon and electron spectral functions
• Strong electron-lattice coupling as the mechanism behind charge density wave transformations in transition-metal dichalcogenides
• Possible Odd-Frequency Superconductivity in Strong-Coupling Electron-Phonon Systems
• Quantum Monte Carlo method for models of molecular nanodevices
• Superconductivity, Charge-Density-Waves, and Bipolarons in the Holstein model
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the Holstein model at half-filling
• Breakdown of the Migdal-Eliashberg theory and a theory of lattice-fermionic superfluidity
• Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Effect of Rattling Phonons on Sommerfeld Constant
• Polaronic Quasiparticles in a Strongly Correlated Electron Band
• Polaronic and nonadiabatic phase diagram from anomalous isotope effects
• Spin-charge separation and simultaneous spin and charge Kondo effect
• Theory of Ultrasonic Dispersion in Local Phonon Systems Coupled with Conduction Electrons
• Single polaron properties for double-well electron-phonon coupling
• Superconductivity in the presence of strong electron-phonon interactions and frustrated charge order
• Metal-Insulator Transition and Emergent Gapped Phase in the Surface-Doped 2D Semiconductor 2H-MoTe${}_2$
• Phonon spectral function of the Holstein polaron
• Migdal-Eliashberg theory as a classical spin chain
• Isotope effects in the Hubbard-Holstein model within dynamical mean-field theory
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• First Order Bipolaronic Transition at Finite Temperature in the Holstein Model
• Kinks in the electronic dispersion of the Hubbard model away from half filling
• A comparative study of nonequilibrium insulator-to-metal transitions in electron-phonon systems
• Influence of phonon renormalization in Eliashberg theory for superconductivity in 2D and 3D systems
• Vibrational Andreev bound states in magnetic molecules
• Limits of Eliashberg Theory and Bounds for Superconducting Transition Temperature
• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory
• Slave-boson approach to the infinite-U Anderson-Holstein impurity model
• Competing phases and orbital-selective behaviors in the two-orbital Hubbard-Holstein model
• Analytical approach to the quantum-phase transition in the one-dimensional spinless Holstein model
• Cooperative Effect of Coulomb Interaction and Electron-Phonon Coupling on the Heavy Fermion State in the Two-Orbital Periodic Anderson Model
• Pressure Driven Phase Transition in 1T-TiSe${}_2$ , a MOIPT+DMFT Study
• Surface Polaron Formation in the Holstein model
• Local dynamical lattice instabilities: Prerequisites for resonant pairing superconductivity
• Phase diagram and dynamic response functions of the Holstein-Hubbard model
• Metallic surface of a bipolaronic insulator
• Generalized diagonalization scheme for many-particle systems
• Spectral properties and enhanced superconductivity in renormalized Migdal-Eliashberg theory
• Heavy-Electron Formation and Bipolaronic Transition in the Anharmonic Holstein Model
• A Langevin approach to lattice dynamics in a charge ordered polaronic system
• Numerical Renormalization Group Study of Probability Distributions for Local Fluctuations in the Anderson-Holstein and Holstein-Hubbard Models
• Optimal Boson energy for superconductivity in the Holstein model
• Resonating bipolarons
• Dynamical effects on superconductivity in BCS-BEC crossover
• Pairing and polarization in systems with retarded interactions
• Strongly anharmonic collective modes in a coupled electron-phonon-spin problem
• Phase diagram of Holstein-Kondo lattice model at half-filling
• Quantum phase transition between antiferromagnetic and charge order in the Hubbard-Holstein model
• Embedding Dynamical Mean-Field Theory for Superconductivity in Layered Materials and Heterostructures
• Charge correlations suppress unconventional pairing in the Holstein model
• Upper limit for superconducting transition temperature in electron-phonon superconductors: very strong coupling
• Interplay between local electron correlation and Janh-Teller electron-phonon interaction
• Tuning correlation effects with electron-phonon interactions
• Periodic Anderson model with Holstein phonons for the description of the Cerium volume collapse
• Commensurate to Incommensurate Transition of Three Dimensional Charge Density Waves
• Semiclassical action based on dynamical mean-field theory describing electrons interacting with local lattice fluctuations