Above Tc the thermal Hall conductivity is exactly κ_xy/T = (π² k_B²/6h) C tanh[Δ_pg(T)/(2 k_B T)], fixed by the Chern number and the measurable preformed-pair gap.
A flux Φ through the cylinder shifts the transverse momenta ac- cording to ky,n(Φ) = 2π Ly n+ Φ 2π −π, n= 0,
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Parity Anomaly of Preformed Pairs Governs the Thermal Hall Effect above $T_c$
Above Tc the thermal Hall conductivity is exactly κ_xy/T = (π² k_B²/6h) C tanh[Δ_pg(T)/(2 k_B T)], fixed by the Chern number and the measurable preformed-pair gap.