Numerical study of the isotope effect in underdoped high-temperature superconductors: Calculation of the angle-resolved photoemission spectra

Abstract

We present a numerical study of the isotope effect on the angle resolved photoemission spectra (ARPES) in the undoped cuprates. By the systematic-error-free Diagrammatic Monte Carlo method, the Lehman spectral function of a single hole in the tt't''-J model in the regime of intermediate and strong couplings to optical phonons is calculated for normal and isotope substituted systems. We found that the isotope effect is strongly energy-momentum dependent, and is anomalously enhanced in the intermediate coupling regime while it approaches to that of the localized hole model in the strong coupling regime. We predict the strengths of effect as well as the fine details of the ARPES lineshape change. Implications to the doped case are also discussed.

5 pages, 5 figures

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• Interplay between electron-phonon and Coulomb interactions in cuprates
• Charge dynamics of doped holes in high Tc cuprates - A clue from optical conductivity
• Trapping of three-dimensional Holstein polarons by various impurities
• Polaronic metal in lightly doped high-Tc cuprates
• Polaronic features in the optical properties of the Holstein-t-J model
• Distribution of localized states from fine analysis of electron spin resonance spectra of organic semiconductors: Physical meaning and methodology
• Optical conductivity of doped Mott insulator: the interplay between correlation and electron-phonon interaction
• Through a Lattice Darkly -- Shedding Light on Electron-Phonon Coupling in the High T${}_c$ Cuprates
• Isotope effects in the Hubbard-Holstein model within dynamical mean-field theory
• Emergence of Quasiparticles in a Doped Mott Insulator
• Finite temperature spectral function of a hole in a quantum antiferromagnet and role of phonons
• Interplay between charge-lattice interaction and strong electron correlations in cuprates: phonon anomaly and spectral kinks
• Kink structure in the electronic dispersion of high-Tc superconductors from the electron-phonon interaction
• Coexistence of $s$- and $d$-wave gaps due to pair-hopping and exchange interactions
• Optical properties of the Holstein-t-J model from dynamical mean-field theory