Multiphonon contribution to the polaron formation in cuprates with strong electron correlations and strong electron-phonon interaction

In this work dependences of the electron band structure and spectral function in the HTSC cuprates on magnitude of electron-phonon interaction (EPI) and temperature are investigated. We use three-band p-d model with diagonal and offdiagonal EPI with breathing and buckling phonon mode in the frameworks of polaronic version of the generalized tight binding (GTB) method. The polaronic quasiparticle excitation in the system with EPI within this approach is formed by a hybridization of the local multiphonon Franck-Condon excitations with lower and upper Hubbard bands. Increasing EPI leads to transfer of spectral weight to high-energy multiphonon excitations and broadening of the spectral function. Temperature effects are taken into account by occupation numbers of local excited polaronic states and variations in the magnitude of spin-spin correlation functions. Increasing the temperature results in band structure reconstruction, spectral weight redistribution, broadening of the spectral function peak at the top of the valence band and the decreasing of the peak intensity. The effect of EPI with two phonon modes on the polaron spectral function is discussed.

[1]  S. Ovchinnikov,et al.  Doping-dependent evolution of low-energy excitations and quantum phase transitions within an effective model for high-Tc copper oxides , 2006, cond-mat/0610580.

[2]  I. Stasyuk,et al.  On d-wave pairing in one band Hubbard model , 1989 .

[3]  M. Azuma,et al.  Angle-resolved photoemission studies of lattice polaron formation in the cuprateCa2CuO2Cl2 , 2007 .

[4]  I. A. Makarov,et al.  Transition Between Large and Small Polaron States in the Electronic Structure of HTSC Cuprates , 2016 .

[5]  A. Borisov,et al.  Evolution of the band structure of quasiparticles with doping in copper oxides on the basis of a generalized tight-binding method , 2000 .

[6]  Ju l 2 00 7 Temperature dependence of the angle resolved photoemission spectra in the undoped cuprates : self-consistent approach to the tJ-Holstein model , 2014 .

[7]  M. Kastner,et al.  Anomalous Temperature Dependence in the Photoemission Spectral Function of Cuprates , 2002 .

[8]  S. Ovchinnikov,et al.  The band structure of strong-correlated electrons in La2−xSrxCuO4 and YBa2Cu3O7−y , 1989 .

[9]  N. Plakida,et al.  Superconducting pairing in the mean-field approximation for the t-J model: numerical analysis , 1991 .

[10]  I. A. Makarov,et al.  Polaronic approach to strongly correlated electron systems with strong electron-phonon interaction , 2015, 1506.05368.

[11]  A. Fujimori,et al.  Polaronic behavior of undoped high-T(c) cuprate superconductors from angle-resolved photoemission spectra. , 2005, Physical review letters.

[12]  Raimondi,et al.  Effective single-band models for the high-Tc cuprates. I. Coulomb interactions. , 1996, Physical review. B, Condensed matter.

[13]  Shastry,et al.  t-J model and nuclear magnetic relaxation in high-Tc materials. , 1989, Physical review letters.

[14]  Hybrid LDA and generalized tight-binding method for electronic structure calculations of strongly correlated electron systems , 2005, cond-mat/0505341.

[15]  D. M. Dzebisashvili,et al.  The electron energy spectrum and superconducting transition temperature of strongly correlated fermions with three-center interactions , 2005 .

[16]  N. Nagaosa,et al.  Electron-phonon coupling and a polaron in the t-J model: from the weak to the strong coupling regime. , 2004, Physical review letters.