In the class we studied Pauli paramagnetism at zero temperature. Consider now fi
ID: 1895195 • Letter: I
Question
In the class we studied Pauli paramagnetism at zero temperature. Consider now finite low temperature case and find first temperature correction to the susceptibility chiP. Hint: Recall that magnetization M can be written its the difference between average numbers of up and down spins: M = M+ - M-, where Msigma = beta f(epsilonpsigma), epsilonpsigma = p2/2m + sigma beta H, f(epsilon) = [epsilon(epsilon-mu)/T + 1]-1, beta = ch/2mc, sigma = plusminus. Convert p-sum into the integral (...) rightarrow (...) expand M to the linear order and H and also carry over Sommerfeld expansion for T/muExplanation / Answer
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