many Landau levels of the composite Fermi sea are occupied, and the system is still compressible due to disorder broadening of the CF LLs. In this regime, the CF conductivity becomes: $$\begin{aligned}
\hat\sigma_\text{D} = \sigma_0\frac{{\left(}\hat1+\omega_c\tau\hat{\epsilon}{\right)}}{1+(\omega_c\tau)^2}+\frac{1-\gamma}{4\pi}\hat{\epsilon}\label{eq:SigmaField}\end{aligned}$$ where $\omega_c = \frac{v_Fb/k_F}{1+b\Omega_F}$ is the CF cyclotron frequency, $\Omega_F$ is the Berry curvature at the composite Fermi surface. Since the transport distinctions between Dirac and PH-breaking states arise from the difference between $\gamma=0,1$, from Eq. \[eq:SigmaField\], we see that this distinction is lost unless: $\frac{|B-B_{1/2}|}{B_{1/2}} < {\left(}k_F\ell{\right)}^{-2}$. Thus accurately determining $B_{1/2}$ is an important component of any transport measurement designed to observe signatures of CF Berry phase. In the impurity scattering dominated (non-hydrodnamic) regime $\alpha_\text{cf}\approx \L T\frac{{\partial}\sigma_\text{cf}}{{\partial}{\varepsilon}_F}$. To estimate this quantity, we need to assume a particular energy dependence for the scattering rate $\tau\sim {\varepsilon}_F^p$, e.g. for free electrons with short-range impurities $p=1$, however, the precise value of $p$ does not qualitatively affect the results. Then, we may compute the field dependence of the Nernst coefficient using Eqs. (\[eq:PHbreakingresponse\]),(\[eq:SigmaField\]). The results are shown in Fig. \[fig:NernstField\] with $k_F\ell=50$ for zero and $\pi$ Berry phase (HLR, Dirac respectively). Both curves increase in magnitude towards a maximum at $\omega_c\tau\sim 1$, beyond which, the Nernst coefficient decays 