Conclusions

Visualization and Control of Single-Electron Charging in Bilayer Graphene Quantum Dots

“…Recent advances in fabricating heterostructures of graphene and hexagonal boron nitride (hBN) have created new opportunities for fundamental study and control of Dirac Fermions at the nanoscale. The ability to realize highly pristine, sharp interfaces and tunable potential landscapes in these systems has led to a renaissance in the study of electronic phenomena in graphene p–n junctions. − In particular, scanning tunneling microscopy (STM) of circular p–n junctions in graphene/hBN heterostructure devices has revealed exotic quasibound states known as whispering gallery modes. − Massive Dirac Fermions in bilayer graphene (BLG) also possess attributes that make their behavior in p–n junction configurations equally novel, such as 100% barrier reflection and electron cloaking states. − Application of out-of-plane electric fields break inversion symmetry in BLG and can be used to create tunable-bandgap BLG p–n junction systems. − Transport experiments have been used to probe massive Dirac Fermions in BLG p–n junctions, − but studies that map their spatial behavior are lacking.…”

Counterintuitive transitions in the multistate Landau–Zener problem with linear level crossings

“…Various exact solutions and approximations seem support this idea 10,11 . Recent work 12 demonstrated that (2) follows from a simple analytical continuation of the asymptotic solution into the complex time, though such a procedure fails to predict correctly other elements of the scattering matrix. The goal of the present work is to demonstrate that the Brundobler-Elser hypothesis can be generalized to some nondiagonal elements of the scattering matrix and to explain why analytical continuation of amplitudes into the complex times provides correct predictions for some elements of the scattering matrix.…”

Chernogolovka 2000: Mesoscopic and strongly correlated electron systems The current state of quantum mesoscopics

“…The report by A V Shytov [13] (L D Landau Institute) about the solution of the Landau ± Zener transition problem in the presence of an interaction with environment is evidently related to any nanoscale realization of qubits. It deals with a generic problem of nonadiabatic transitions in a two-level system described by a time-dependent Hamiltonian and coupled to uncontrollable microscopic excitations from the thermal bath.…”