The Measurement of the Polaron Size in the Metallic Phase of Cuprate Superconductors

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Published under licence by IOP Publishing Ltd
, , Citation A. Bianconi et al 1995 EPL 31 411 DOI 10.1209/0295-5075/31/7/012

0295-5075/31/7/411

Abstract

The statistical distribution of the Cu site conformations in the CuO2 plane of Bi2Sr2CaCu2O8+y (Bi 2212) has been measured by a fast and local probe Cu K-edge extended x-ray absorption fine structure (EXAFS) as a function of temperature. The Cu site conformations are frozen at T < T* = 120 K ~ 1.4 Tc in two well-defined conformations characterized by two Cu-O(apical) bond lengths separated by 0.17 ± 0.02 Å. The Cu site conformations with short bond 2.38 ± 0.02 Å have a probability of 41 ± 2% at T < T*. The diffraction experiments show that the Cu site conformations exhibit a one-dimensional anharmonic modulation, with period λp = 25 Å, that has been measured by electron diffraction. These data show that the modulation is anharmonic and the plane is decorated with stripes of distorted lattice characterized by the short Cu-O(apical) bonds of width W = 11 ± 1 Å at T < T* that form domain walls for the stripes of width L ~ 14 ± 1 Å, characterized by the long Cu-O(apical) bond. The stripes of distorted lattice run below the lines of interstitial oxygen ions in the BiO plane, playing the role of acceptors. The lattice modulation is therefore assigned to polaronic impurity states ordered in linear arrays. The measure of the width W of the stripes provides the measure of the area of the polarons Sp ~ 4a2 (a = 5.4 Å) where each hole dressed by the lattice distortion spans a domain of 8 Cu sites.

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10.1209/0295-5075/31/7/012