  A-B stacked bilayer graphene has massive electron and hole-like excitations
with zero gap in the nearest-neighbor hopping approximation. In equilibrium,
the quasiparticle occupation approximately follows the usual Fermi-Dirac
distribution. In this paper we consider perturbing this equilibrium
distribution so as to determine DC transport coefficients near charge
neutrality. We consider the regime $\beta |\mu| \lesssim 1$ (with $\beta$ the
inverse temperature and $\mu$ the chemical potential) where there is not a well
formed Fermi surface. Starting from the Kadanoff-Baym equations, we obtain the
quantum Boltzmann equation of the electron and hole distribution functions when
the system is weakly perturbed out of equilibrium. The effect of phonons,
disorder, and boundary scattering for finite sized systems are incorporated
through a generalized collision integral. The transport coefficients, including
the electrical and thermal conductivity, thermopower, and shear viscosity, are
calculated in the linear response regime. We also extend the formalism to
include an external magnetic field. We present results from numerical solutions
of the quantum Boltzmann equation. Finally, we derive a simplified two-fluid
hydrodynamic model appropriate for this system, which reproduces the salient
results of the full numerical calculations.

Mesoscale and Nanoscale Physics;Strongly Correlated Electrons;High Energy Physics - Theory