Interlayer Heat Transfer in Bilayer Carrier Systems
  We study theoretically how energy and heat are transferred between the two-dimensional layers of bilayer carrier systems due to near-field interlayer carrier interaction. We derive general expressions for the interlayer heat transfer and thermal conductance. Approximation formulas and detailed calculations for semiconductor and graphene based bilayers are presented. Our calculations for GaAs, Si and graphene bilayers show that the interlayer heat transfer can exceed the electron-phonon heat transfer below (system dependent) finite crossover temperature. We show that disorder strongly enhances the interlayer heat transport and pushes the threshold towards higher temperatures. 
Mika Prunnila and Sampo J. Laakso
cond-mat.mes-hall