Artificial Gauge Field and Topological Phase in a Conventional Two-dimensional Electron Gas with Antidot Lattices
Likun Shi, Wenkai Lou, F. Cheng, Y. L. Zou, Wen Yang, Kai Chang
TL;DR
This paper proposes a method to create artificial gauge fields and topological phases in a 2D electron gas using antidot lattices and spin-orbit coupling.
Contribution
A new theoretical framework for generating artificial gauge fields and topological phases in conventional 2D electron systems with antidot lattices.
Findings
Fast interband transitions induce a gauge field on slow orbital motion, leading to a topological phase.
Antidot lattices create minibands and band inversions, enabling large nontrivial minigaps.
Intersubband spin-orbit interaction produces multiple pairs of helical edge states.
Abstract
Based on the Born-Oppemheimer approximation, we divide the total electron Hamiltonian in a spin-orbit coupled system into the slow orbital motion and the fast interband transition processes. We find that the fast motion induces a gauge field on the slow orbital motion, perpendicular to the electron momentum, inducing a topological phase. From this general designing principle, we present a theory for generating artificial gauge field and topological phase in a conventional two-dimensional electron gas embedded in parabolically graded GaAs/InxGa1−xAs/GaAs quantum wells with antidot lattices. By tuning the etching depth and period of the antidot lattices, the band folding caused by the antidot potential leads to the formation of minibands and band inversions between neighboring subbands. The intersubband spin-orbit interaction opens considerably large nontrivial minigaps and leads to many…
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Quantum and electron transport phenomena · Cold Atom Physics and Bose-Einstein Condensates