To determine the value of the current that needs to be applied while measuring Hall effect measurement for a thin film of thickness 100 nm, you will need to perform calculations based on the material's resistivity and the desired precision of the results. Additionally, you may consider simulations and experiments to determine the best values.
A thin film with 100 nm thickness, 1 cm/ 5 mm has a resistance of approximately 10 kOhms. With a current of 10 mA you can have a Hall volatge of less than 1 Volt
The applied current for Hall effect measurement depends on: 1). the specifications of your measurement set-up (impedance, compliance of the voltmeters). As the measured V=IR should not exceed the maximum measurable voltage. 2). the resistivity of your sample. A simple step is to check the ohmic behaviour of your metal contact (to your sample, in a Van der Pauw configuration), which is also essential before performing the Hall effect measurement. During this test, you’ll know the current range that can be applied for the Hall effect measurement. Note that the current should not be too high (in case your thin film is conducting)