Girvin, Yang Modern Condensed Matter Physics 2019 SSP · Problem 20.10

Microscopic Theory of Superconductivity

Physics — Condensed Matter · charge-density-susceptibility-nesting

Problem

Calculate

\chi_0(\vec{Q}, T)

of Eq. (20.144) in the limit

T \to 0

with the band dispersion (20.142), and identify the leading divergent term.