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Synthetic gauge fields, relativistic Landau levels and local valley Hall response in artificially-strained honeycomb lattices

par Jamotte, Maxime
Président du jury Kozyreff, Gregory
Promoteur Goldman, Nathan
Publication Non publié, 2024-10-11

Thèse de doctorat

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Résumé :

This thesis builds on recent advancements in the field of quantum simulations for fundamental physics, particularly in the study of lattice gauge theories. The lattice considered here is a two-dimensional honeycomb lattice in which quantum particles are trapped. Deformations of this lattice lead to effective pseudo-magnetic fields that do not break time-reversal symmetry but still generate physics resembling quasi-Landau levels. This is exploited in two ways. First, using an adaptation of the Widom-Streda formula, we show that the valley Hall effect emerging in this system can be measured from the responses of a fermionic gas to variations in the stretching of the lattice. We demonstrate that our proposal holds for different deformation configurations, various lattice terminations, and is independent of the presence of helical edge states. Furthermore, it is robust against disorder. Secondly, we present a novel method to create an artificial stretching, and the associated effective magnetic field, in rigid op