Umklapp scattering near the zone boundary adds an Ω^{1/2} or Ω^{2/3} contribution to the particle-hole bubble in 2D Ising-nematic criticality, potentially shifting the onset of linear-in-T resistivity from Δ_q^3 to Δ_q^4 in one hyper-specific temperature regime.
Now requiringT NFL ≪T 4 immediately givesN −3/4g2ε−1 F ≪ ∆q/kF which can be satisfied consistently withT 4 ≪ T3 =⇒∆ q/kF ≪g 2ε−1 F
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Umklapp correction to Landau damping and conditions for non-trivial modifications to quantum critical transport
Umklapp scattering near the zone boundary adds an Ω^{1/2} or Ω^{2/3} contribution to the particle-hole bubble in 2D Ising-nematic criticality, potentially shifting the onset of linear-in-T resistivity from Δ_q^3 to Δ_q^4 in one hyper-specific temperature regime.