Finite temperature effect in side-dot configuration

We revisit the problem of the double-quantum dots in side-dot configuration at finite temperature, performing analytical calculations at zero temperature and at finite temperature. The transmittance of this setup can be positive or negative and this effect can lead to a constructive or destructive interference in the second dot. We showed that at finite temperature, in the low temperature limit the system present the same behavior. The increasing of the temperature does not give the increasing of the conductance, as was obtained using the numerical methods, and this can be done by our simple approximation.