Absence of gross inhomogeneity in HTS cuprates

Abstract

Recent scanning tunnelling microscopy (STM) studies on Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ (Bi-2212) revealed the presence of severe inhomogeneity with length scale $L_0\approx {\xi }_0$, the coherence length. Other studies have been interpreted in terms of mesoscale or nanoscale phase segregation. Here we analyze heat capacity and NMR data on Bi-2212 and (Y,Ca)Ba${}_2$Cu${}_3$O${}_{7-\delta }$ and find no evidence for phase segregation or gross inhomogeneity. For Bi-2212 the coherence scale $L_0$ increases with doping from 5 to 17${\xi }_0$ and the hole density inhomogeneity decreases from 0.028 to 0.005 holes/Cu. We conclude that STM measurements considerably overstate the inhomogeneity in bulk Bi-2212.

4 pages, 5 figures, submitted to Phys. Rev. Letters

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