R(B,T) calibration
magnetic field dependence of R(T)
Before fitting the field dependence, we need to calculate Chebyshev coefficients for zero field and non-zero field in a self-consistent way. To do this, we use the (assumed) field-independent calculation of \(T\) from platform heater power \(P_{PH}\) for all field values, including zero field.
The first step is to set the temperature domain over which the fit will apply. In this example, our data for platform heater power sweeps covers the range 97.5 mK to 8.89 K and we choose 50 mK to 10 K as the T domain for our Chebyshev fits of \(R\left(P_{PH}\right)\) to \(T\left(P_{PH}\right)\).
The second step is to apply the fit for each magnetic field for which we have \(R\left(P\right)\) data in the same manner as done previously for our zero field data. The results are shown below in Fig. \ref{529578} for a Cernox® 1010 for a series of representative magnetic fields between 0 and 18 tesla (180 kG).