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000291689 1001_ $$aCampi, G.$$b0
000291689 245__ $$aInhomogeneity of charge-density-wave order and quenched disorder in a high-Tc superconductor
000291689 260__ $$aLondon$$bMacmillan28177$$c2015
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000291689 520__ $$aIt has recently been established that the high-transition-temperature (high-Tc) superconducting state coexists with short-range charge-density-wave order and quenched disorder arising from dopants and strain. This complex, multiscale phase separation invites the development of theories of high-temperature superconductivity that include complexity. The nature of the spatial interplay between charge and dopant order that provides a basis for nanoscale phase separation remains a key open question, because experiments have yet to probe the unknown spatial distribution at both the nanoscale and mesoscale (between atomic and macroscopic scale). Here we report micro X-ray diffraction imaging of the spatial distribution of both short-range charge-density-wave ‘puddles’ (domains with only a few wavelengths) and quenched disorder in HgBa${_2}$CuO${_4+y}$, the single-layer cuprate with the highest T${_c}$, 95 kelvin. We found that the charge-density-wave puddles, like the steam bubbles in boiling water, have a fat-tailed size distribution that is typical of self-organization near a critical point. However, the quenched disorder, which arises from oxygen interstitials, has a distribution that is contrary to the usually assumed random, uncorrelated distribution. The interstitial-oxygen-rich domains are spatially anticorrelated with the charge-density-wave domains, because higher doping does not favour the stripy charge-density-wave puddles, leading to a complex emergent geometry of the spatial landscape for superconductivity.
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000291689 7001_ $$0P:(DE-H253)PIP1010238$$aBianconi, A.$$b1$$eCorresponding author
000291689 7001_ $$0P:(DE-H253)PIP1010850$$aPoccia, N.$$b2
000291689 7001_ $$aBianconi, G.$$b3
000291689 7001_ $$aBarba, L.$$b4
000291689 7001_ $$aArrighetti, G.$$b5
000291689 7001_ $$0P:(DE-H253)PIP1016523$$aInnocenti, D.$$b6
000291689 7001_ $$aKarpinski, J.$$b7
000291689 7001_ $$aZhigadlo, N. D.$$b8
000291689 7001_ $$aKazakov, S. M.$$b9
000291689 7001_ $$aBurghammer, M.$$b10
000291689 7001_ $$0P:(DE-H253)PIP1001164$$avon Zimmermann, Martin$$b11
000291689 7001_ $$0P:(DE-H253)PIP1007141$$aSprung, M.$$b12$$udesy
000291689 7001_ $$0P:(DE-H253)PIP1010925$$aRicci, A.$$b13$$udesy
000291689 773__ $$0PERI:(DE-600)1413423-8$$a10.1038/nature14987$$gVol. 525, no. 7569, p. 359 - 362$$n7569$$p359 - 362$$tNature$$v525$$x1476-4687$$y2015
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