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We have performed local tunneling spectroscopy on high qualityMg$_{1-x}$Al$_x$B$_2$ single crystals by means of Variable Temperature ScanningTunneling Spectroscopy (STS) in magnetic field up to 3 Tesla. Single gapconductance spectra due to c-axis tunneling were extensively measured, probingdifferent amplitudes of the three-dimensional $\Delta_\pi$ as a function of Alcontent. Temperature and magnetic field dependences of the conductance spectrawere studied in S-I-N configuration: the effect of the doping resulted in amonotonous reduction of the locally measured $T_C$ down to 24K for x=0.2. Onthe other hand, we have found that the gap amplitude shows a maximum value$\Delta_\pi= 2.3$ meV for x=0.1, while the $\Delta_\pi / T_C$ ratio increasesmonotonously with doping. The locally measured upper critical field was foundto be strongly related to the gap amplitude, showing the maximum value$H_{c2}\simeq3T$ for x=0.1 substituted samples. For this Al concentration thedata revealed some spatial inhomogeneity in the distribution of $\Delta_\pi$ onnanometer scale.Comment: 4 pages, 3 figure

physical review. b, condensed matter and materials physics

Local tunneling study of three-dimensional order parameter in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi></mml:math>band of Al-doped<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Mg</mml:mi><mml:msub><mml:mi mathvariant="normal">B</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>single crystals

Local tunneling study of three-dimensional order parameter in theπband of Al-dopedMgB2single crystals