We will only discuss the general design and not go in details as the calculations are very complicated. Due to the negative characteristic of an Esaki diode, a charge current is generated when heat is applied to it. It can be explained in this way: when a normal resistance R is connected to a battery, it starts discharging (here according to Ohms law I=V/R).
Therefore logically a negative resistance should start charging the battery (now -I=V/-R). Similarly if the power dissipated in a normal resistance is P=I2R watts, conversely a negative resistance should generate wattage since in this case P=-I2-R. The negative sign of current (I) indicates generation of power, and this is the operating principle of tunnel diodes.
A group of carefully selected tunnel diode in series when fitted to a large heat(external) absorbing metal, can produce enough power so as to charge a 1.2V NiCd battery. The heat applied may be solar or any other form.
Idea courtesy: J. Freshwater and C. Sanjay