Polaronic and nonadiabatic phase diagram from anomalous isotope effects

Abstract

Isotope effects (IEs) are powerful tool to probe directly the dependence of many physical properties on the lattice dynamics. In this paper we invenstigate the onset of anomalous IEs in the spinless Holstein model by employing the dynamical mean field theory. We show that the isotope coefficients of the electron effective mass and of the dressed phonon frequency are sizeable also far away from the strong coupling polaronic crossover and mark the importance of nonadiabatic lattice fluctuations in the weak to moderate coupling region. We characterize the polaronic regime by the appearence of huge IEs. We draw a nonadiabatic phase diagram in which we identify a novel crossover, not related to polaronic features, where the IEs attain their largest anomalies.

5 pages, 4 figures

References in corpus (13)

• Superconductivity in Fullerides
• An unusual isotope effect in a high-transition-temperature superconductor
• On the Fermi Liquid to Polaron Crossover I: General Results
• Dynamical mean-field theory of the small polaron
• Direct observation of the oxygen isotope effect on the in-plane magnetic field penetration depth in optimally doped YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model
• Gap formation and soft phonon mode in the Holstein model
• The small polaron crossover: comparison between exact results and vertex correction approximation
• Isotope effect on $m^{\ast }$ in high-T_c materials due to the breakdown of Migdal's theorem
• Superconductivity of Rb${}_3$C${}_{60}$: breakdown of the Migdal-Eliashberg theory
• Dynamical Mean-Field Theory of Electron-Phonon Interactions in Correlated Systems: Application to Isotope Effects on Electronic Properties
• Isotope effect on the electron band structure of doped insulators
• Absence of a boron isotope effect in the magnetic penetration depth of MgB${}_2$

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• Relevance of phonon dynamics in strongly correlated systems coupled to phonons: A Dynamical Mean Field Theory analysis
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the Holstein model at half-filling
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Anomalous electron-phonon coupling probed on the surface of ZrB${}_{12}$ superconductor
• Spectral properties and isotope effect in strongly interacting systems: Mott-Hubbard insulator and polaronic semiconductor
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• Through a Lattice Darkly -- Shedding Light on Electron-Phonon Coupling in the High T${}_c$ Cuprates
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• Study of pressure effect on the magnetic penetration depth in MgB${}_2$
• Diagrammatic content of the DMFT for the Holstein polaron problem in finite dimensions
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