Robustness of quantum Hall interferometry

Mach-Zehnder interferometry using spin- and valley-polarized quantum Hall edge states in graphene

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogs of monochromatic beams of light, providing a unique platform for studying electron interference. Electron interferometry is regarded as one of the most promising route...

Quaternionic Quantum Interferometry

If scattering amplitudes are ordinary complex numbers (not quaternions) there is a universal algebraic relationship between the six coherent cross sections of any three scatterers (taken singly and pairwise). A violation of this relationship would indicate either that scattering amplitudes are quaternions, or that the superposition principle fails. Some possible experimental tests involve neutr...

Multi-photon quantum interferometry

Quantum theory of quantum Hall smectics

We propose a quantum stripe ~smectic! coupled-Luttinger-liquid model for the anisotropic states which occur in two-dimensional electron systems with high-index partial Landau-level filling, n*5n2@n# . Perturbative renormalization-group calculations establish that interaction terms neglected in this model are relevant —probably driving the system into an anisotropic Wigner crystal—but for 0.4&n*...

Quantum theory of bilayer quantum Hall smectics

Mean-field theory predicts that bilayer quantum Hall systems at odd integer total filling factors can have stripe ground states, in which the top Landau level is occupied alternately by electrons in one of the two layers. We report on an analysis of the properties of these states based on a coupled-Luttinger-liquid description that is able to account for quantum fluctuations of charge-density a...