Self-Heating Effect in Intrinsic Tunneling Spectroscopy of ${\rm HgBr}_{2}$ Intercalated ${\rm Bi}_{2.1}{\rm Sr}_{1.4}{\rm Ca}_{1.5}{\rm Cu}_{2}{\rm O}_{8+\delta}$ Single Crystals

We report tunneling results in intrinsic Josephson junction (IJJ) stacks fabricated in the form of square micromesas on HgBr
₂
intercalated Bi
_2.1
Sr
_1.4
Ca
_1.5
Cu
₂
O
_8+delta
(Bi2212) single crystals using photolithography and Ar ion milling techniques. Self-heating is the most common problem encountered in interlayer tunneling and it is likely to reduce the reliability of IJJ data. Although intercalation reduces heating a hundredfold, it still needs to be minimized substantially in order to approach the authentic superconducting energy gap observed by tunneling using more conventional junctions. We report tunneling characteristics of two mesas with the same height but different sizes (5 times 5 mum
²
and 10 times 10 mum
²
) to show that heating effects are strongly related to IJJ stack size. For the smaller mesa, we observed an energy gap close to that seen in single SIN (S: superconductor, I: insulator, N: normal metal) and SIS break junctions as well as the dip and hump structures at high bias. The subgap data of 5 times 5 mum
²
mesa were successfully fit with a momentum averaged d-wave model using convenient parameters. Thus our data is consistent with the predominant pairing symmetry suggested by point contact tunneling, break junction, scanning tunneling microscopy/spectroscopy and angle resolved photoemission measurements in Bi
₂
Sr
₂
CaCu
₂
O
_8+delta
.