Role of crystal structure and junction morphology on interface thermal conductance

We argue that the relative thermal conductance between interfaces with different morphologies is controlled by crystal structure through Mₘᵢₙ/Mc>1, the ratio between the minimum mode count on either side Mₘᵢₙ, and the conserving modes Mc that preserve phonon momentum transverse to the interface. Junctions with an added homogenous layer, ``uniform,'' and ``abrupt'' junctions are limited to Mc, while junctions with interfacial disorder, ``mixed,'' exploit the expansion of mode spectrum to Mₘᵢₙ. In our studies with cubic crystals, the largest enhancement of conductance from ``abrupt'' to ``mixed'' interfaces seems to be correlated with the emergence of voids in the conserving modes, where Mc=0. Such voids typically arise when the interlayer coupling is weakly dispersive, making the bands shift rigidly with momentum. Interfacial mixing also increases alloy scattering, which reduces conductance in opposition with the mode spectrum expansion. Thus the conductance across a ``mixed'' junction does not always increase relative to that at a ``uniform'' interface.