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.
Since both Π ATP and Π U areO(N −1) for this model we immediately getT 3 ∼ O(N), T 4 ∼ O(N 2) andT 2 ∼ O(1)
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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.