Discontinuous polaron transition in a two-band model

Abstract

We present exact diagonalization and momentum average approximation (MA) results for the single polaron properties of a one-dimensional two-band model with phonon-modulated hopping. At strong electron-phonon coupling, we find a novel type of sharp transition, where the polaron ground state momentum jumps discontinuously from $k=\pi$ to $k=0$. The nature and origin of this transition is investigated and compared to that of the Su-Schrieffer-Heeger (SSH) model, where a sharp but smooth transition was previously reported. We argue that such discontinuous transitions are a consequence of the multi-band nature of the model, and are unlikely to be observed in one-band models. We also show that MA describes qualitatively and even quantitatively accurately this polaron and its transition. Given its computationally efficient generalization to higher dimensions, MA thus promises to allow for accurate studies of electron-phonon coupling in multi-band models in higher dimensions.

References in corpus (34)

• Correlated Electrons in High Temperature Superconductors
• Site-selective Mott transition in rare earth nickelates
• The Holstein Polaron
• Charge disproportionation without charge transfer in the rare-earth nickelates as a possible mechanism for the metal-insulator transition
• Spin and charge ordering in self-doped Mott insulators
• Ferromagnetism and electron-phonon coupling in the manganites
• Green's function of a dressed particle
• Correlation-enhanced electron-phonon coupling: Applications of GW and screened hybrid functional to bismuthates, chloronitrides, and other high Tc superconductors
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Lattice normal modes and electronic properties of the correlated metal LaNiO${}_3$
• The Green's Function of the Holstein Polaron
• Dimensionality effects on the Holstein polaron
• Electron-phonon interaction in the t-J model
• Polaronic hole-trapping in doped $\mathrm{BaBi}{\mathrm{O}}_3$
• Theory of the magnetic and metal-insulator transitions in RNiO3 bulk and layered structures
• Interplay between electron-phonon and Coulomb interactions in cuprates
• Long-range transfer of electron-phonon coupling in oxide superlattices
• Hybridization effects and bond-disproportionation in the bismuth perovskites
• Systematic improvement of the Momentum Average approximation for the Green's function of a Holstein polaron
• Madelung Energy of the Valence Skipping Compound BaBiO${}_3$
• Investigating polaron transitions with polar molecules
• Polarons and slow quantum phonons
• Momentum average approximation for models with electron-phonon coupling dependent on the phonon momentum
• Ground state properties of the Holstein model near the adiabatic limit
• Single polaron properties of the breathing-mode Hamiltonian
• Polaron and Bipolaron Defects in a Charge Density Wave: a Model for Lightly Doped BaBiO3
• Going beyond the linear approximation in describing electron- phonon coupling: relevance for the Holstein model
• Model of the electron-phonon interaction and optical conductivity of Ba${}_{1-x}$K${}_x$BiO${}_3$ superconductors
• Single polaron properties for double-well electron-phonon coupling
• Emergence of states in the phonon spectral function of the Holstein polaron below and above the one-phonon continuum
• Polaron and bipolaron formation in a cubic perovskite lattice
• Strongly bound yet light bipolarons for double-well electron-phonon coupling
• A study of cooperative breathing-mode in molecular chains
• The extended vs standard Holstein model; results in two and three dimensions

Cited by in corpus (8)

• Peierls versus Holstein models for describing electron-phonon coupling in perovskites
• Polaron transformations in the realistic model of the strongly correlated electron system
• Bond versus charge disproportionation in the bismuth perovskites
• Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
• Generalized method of Feynman-Pines diagram technique in the theory of energy spectrum of two-level quasiparticle renormalized due to multi-phonon processes at cryogenic temperature
• Renormalized spectrum of quasiparticle in limited number of states, strongly interacting with two-mode polarization phonons at $T=0$ K
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings
• Dressing due to correlations strongly reduces the effect of electron-phonon coupling