English

Common path interference in Zener tunneling is a universal phenomenon

Mesoscale and Nanoscale Physics 2013-06-13 v1

Abstract

We show that the probability of electric field induced interband tunneling in solid state systems is generically a non-monotonic (oscillatory) function of the applied field. This unexpected behavior can be understood as arising due to a common path interference between two distinct tunneling solutions. The phenomenon is insensitive to magnetic field, and arises whenever the low energy dispersion relation contains higher order terms in addition to the usual p2p^2 term. Such higher order terms are generically present, albeit with small co-efficient, so that the oscillatory Zener tunneling is a universal phenomenon. However, the first `Zener oscillation' occurs at a transmission probability which is exponentially small when the co-efficient of the higher order terms is small. This explains why this oscillatory aspect of Zener tunneling has been hitherto overlooked, despite its universality. The common path interference is also destroyed by the presence of odd powers of pp in the low energy dispersion relation. Since odd powers of pp are strictly absent only when the tunneling barrier lies along an axis of mirror symmetry, it follows that the robustness of the oscillatory behavior depends on the orientation of the tunneling barrier. Bilayer graphene is identified as a particularly good material for observation of common path interference, due to its unusual nearly isotropic dispersion relation, where the p4p^4 term makes the leading contribution.

Keywords

Cite

@article{arxiv.1303.5053,
  title  = {Common path interference in Zener tunneling is a universal phenomenon},
  author = {Sonika Johri and Rahul Nandkishore and R. N. Bhatt and E. J. Mele},
  journal= {arXiv preprint arXiv:1303.5053},
  year   = {2013}
}
R2 v1 2026-06-21T23:45:24.071Z