FIGURE 2. Data obtained at high spatial resolution, showing the typical spatial interrelationship of Delta and G(Delta) for underdoped Bi-2212.

From the following article:

Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+delta

K. M. Lang, V. Madhavan, J. E. Hoffman, E. W. Hudson, H. Eisaki, S. Uchida and J. C. Davis

Nature 415, 412-416(24 January 2002)

doi:10.1038/415412a

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These data were generated from a single 128 times 128 pixel spectral survey which was taken on the 147 Å times 147 Å region inside the white box in Fig. 1a. This spectral survey was taken several weeks after the survey used to calculate Fig. 1a, during which the sample was kept continuously at 4.2 K. a, High-resolution gap map revealing approximately 12 alpha-domains embedded in the percolative beta-like background. b, Map of G(Delta) at the same location as a. Here, to reveal the spatial correlations between Delta and G(Delta), we use the same colour bar as in a but here the scale is inverted and represents G(Delta). Note that G(Delta) is defined as the gap-edge peak at negative bias throughout this Letter. In c we show the spatial evolution of Delta and in d of G(Delta) along the trajectory of the white line seen in a and b. Figures 2 and 3 together illustrate the properties of the two distinct types of regions. In terms of Delta, the alpha-domains are defined by a distinct value of Delta which is less than or similar to50 meV and which is constant to 5% within a 13-Å radius of the centre of each domain, while the beta-regions are defined by Delta greater than or similar to 35 meV. There exists an overlap range of Delta (35 meV less than or similar to Delta less than or similar to 50 meV) in which categorization must rely on parameters in addition to Delta. The tick mark on the colour scale is at 42 meV at the centre of this overlap range. In terms of G(Delta), the alpha-domains are defined by G(Delta) at the centre of the domain being approx66% (sigma = 23%) above the average beta-region G(Delta), which itself has sigma = 15%. Similar conclusions are derived from all equivalent maps from other underdoped spectral surveys. The spectral survey was acquired with constant current normalization at 4.2 K with tunnel junction resistance of 1 GOmega set at V = -200 mV.

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