At room temperature kT is about 0.0259 eV. The probability that a state 0.50 eV above the Fermi level is occupied at room temperature is:

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The probability of occupancy of a state at energy E above the Fermi level is given by the Fermi-Dirac distribution: f(E) = 1 / (1 + exp((E - Ef) / kT)). Substituting E - Ef = 0.50 eV and kT = 0.0259 eV, we get f(E) ≈ 4.1 × 10^-9.

At Room Temperature KT Is About 0