Material and Doping Dependence of the Nodal and Antinodal Dispersion Renormalizations in Single- and Multilayer Cuprates

S Johnston,Z.-X Shen,E A Nowadnick,W S Lee,B Moritz,Y Chen,T P Devereaux

doi:10.1155/2010/968304

Abstract

We present a review of bosonic renormalization effects on electronic carriers observed from angle-resolved photoemission spectra in the cuprates. Specifically, we discuss the viewpoint that these renormalizations represent coupling of the electrons to the lattice and review how materials dependence, such as the number of CuO2layers, and doping dependence can be understood straightforwardly in terms of several aspects of electron-phonon coupling in layered correlated materials.

Highlights

In this work we have presented aspects of the material and doping dependence of the dispersion renormalizations in the nodal and antinodal regions of various single- and multi-layer cuprates
We have found that the strength of the nodal kink has a strong material dependence and varies with the number of layers present in the material
The issue can be complicated further in the multi-layer cuprates, where Madelung potential differences can lead to inequivalent dopings in the various layers

Summary

INTRODUCTION

The discovery of a “kink” in the nodal ((0,0) - (π,π)) dispersion of the high-Tc cuprates, and band renormalizations, in the form of a peak-dip-hump structure in the anti-nodal (0,π) - (π,π) dispersion,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18] have attracted considerable attention in recent years. An alternative proposal is coupling to a spectrum of oxygen vibrational phonon modes,[3,7,25,26] the c-axis out-of-phase bond-buckling oxygen vibration or B1g mode (Ω ∼ 35 − 45 meV) and the in-plane bondstretching oxygen mode (Ω ∼ 70 − 80 meV) This multiphonon proposal has been able to account for many experimental observations including the anisotropy of the observed renormalizations,[25] fine structure in the form of subkinks observed in the temperature dependence of the self-energy in Bi2Sr2CaCu2O8+δ (Bi-2212)[26], which track the opening of the superconducting gap, and doping dependent changes in the self-energy.[15,29] This interpretation is further supported by recent ARPES experiments that have measured an 16O → 18O isotope shift in the nodal kink position.[24].

ELECTRON-PHONON COUPLING IN MULTI-LAYER CUPRATES

LAYER DEPENDENCE

ENERGY SCALES AND DOPING DEPENDENCE

THE F-FAMILY OF MULTILAYER CUPRATES

CONCLUSIONS