Appears in collection : Wave propagation in guiding structures / Propagation d'ondes dans les structures guidées
We present results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field. We construct a family of double well potentials containing examples for which the low-energy eigenvalue splitting vanishes, and hence quantum tunneling is eliminated. Further, by deforming within this family, the magnetic ground state can be made to transition from symmetric to anti-symmetric. However, for typical double wells, tunneling is not suppressed, and we provide a lower bound for the eigenvalue splitting. Our results suggest an approach to achieving enhanced flatness of bands in 2D crystalline materials.
By Michael Weinstein
By Rayan Fahs
