  We study the conductance oscillation of an antiferromagnetic layer tunnel
junction composed of antiferromagnetic topological insulators (MTIs) such as
MnBi$_{2}$Te$_{4}$. In presence of an in-plane magnetic field, we find that the
two terminal differential conductance across the junction oscillates as a
function of field strength. Notably, the quantum interference at weak fields
for the odd-layer MTIs is distinctive from the even-layer MTIs due to the
scattering phase difference. Consequently, the differential conductance is
vanishing (maximized) at integer magnetic flux quanta for even-layer
(odd-layer) junction. The conductance oscillations manifest the layer-dependent
quantum interference in which symmetries and scattering phases play essential
roles. In numerical calculations, we observe that the quantum interference
undergoes an evolution from SQUID-like patterns to Fraunhofer-like oscillations
as the junction length increases.
