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In n-p bilayer systems an exotic phase-coherent state emerges due to Coulombpairing of n-layer electrons with p-layer holes. Unlike Josephson junctions,the order parameter phase may be locked by matrix elements of interlayertunneling in n-p bilayers. Here we show how the phase locking phenomenonspecifies the response of the electron-hole condensate to interlayer voltages.In the absence of an applied magnetic field, the phase is steady-state (locked)at low interlayer voltages, V<V_c, however the phase increases monotonicallywith time (is unlocked) at V>V_c. The change in the system dynamics at V=V_cgives rise to a peak in the differential tunneling conductance. The peak widthV_c is proportional to the absolute value of the tunneling matrix element|T_{12}|, but its height does not depend on |T_{12}|; thus the peak is sharpfor small |T_{12}|. A sufficiently strong in-plane magnetic field reducesconsiderably the peak height. The present results are in qualitative agreementwith the zero bias peak behavior that has recently been observed in bilayerquantum Hall ferromagnets with spontaneous interlayer phase coherence.Comment: 6 pages, extended version, phenomenological derivation of the main  equation is added, references are adde

Order parameter phase locking as a cause of a zero bias peak in the differential tunneling conductance of bilayers with electron–hole pairing