Aharonov–Bohm-type Effects in Triangular Antidot Lattice

Abstract

Three kinds of Aharonov-Bohm (AB)-type oscillation have been investigated in triangular antidot lattice fabricated from a GaAs/AlGaAs two-dimensional electron gas sample. The oscillation periods of Altshuler-Aronov-Spivak (AAS) effect and AB-type effect near zero magnetic field are determined by the unit cell area, whereas those of AB-type oscillations in the quantum Hall plateau transition regime are governed by the effective area of antidot. The evolution of the high-field AB-type oscillation as a function of gate voltage gives infomation on the profile of the self-consistent potential associated with compressible edge channels formed around antidot. The temperature dependences and decoherence mechanisms of the AAS and AB-type oscillations near zero magnetic field as well as the high-field ABtype oscillation are discussed.

Magnetotransport through a two‐dimensional hole antidot lattice: Signatures of Berry phase

“…The fitting parameter ∆E characterizes the energy difference of oscillation peaks in the density of states due to the AB phase. The fitting is satisfying when ∆E = 86 µeV, which is in similar order with other measurements in the electron system [10]. We conclude that the temperature dependence is due to the thermal broadening of the energy levels of the orbits, which is consistent with the density of state picture of the AB-type oscillation.…”

Spin filtering by a periodic spintronic device

“…The latter model could also describe a network of quantum dots or anti-dots, located at these nodes. 13 The stationary spinors Ψ u , with energy ǫ, obey the Schrödinger equations,…”

Magnetoresistance of antidot lattices with grain boundaries

“…In hexagonal lattices, a transition from Altshuler-Aronov-Spivak oscillations at small magnetic fields to Aharonov-Bohm oscillations at larger fields has been observed. 9,10,11 Moreover, the longstanding prediction of the Hofstadter butterfly, 12 the fractal energy spectrum of a periodic potential in strong magnetic fields, has been experimentally confirmed in weak periodic superlattices. 13,14,15 Antidots have furthermore been used to demonstrate the quasi-particle character of composite fermions in a very intuitive way.…”