Question

The energy band gap of a superconductor formed near the critical temperature is due to

• A. the exponential decrease in heat capacity
• B. the exponential increase in heat capacity
• C. the gradually decrease in heat capacity
• D. the gradually increase in heat capacity

Answer 1

The correct option is B the exponential increase in heat capacity

The energy band gap of superconductor formed near the critical temperature is due to the exponential increase in the heat capacity.

As from Superconductor Band gap Theory, Band gap is

$Eg\approx \frac{7}{2}$

where,

$Eg\to$ Band gap

$Tc\to$ Critical Temperature for the Superconductor

$K\to$ Boltzmann's constant

So Heat Capacity is

$C=A{e}^{\frac{-b}{KTc}}$

and the constant "b" in the exponential heat capacity expression is one-half the band gap energy.