Low-frequency and Moiré–Floquet engineering: A review

M Rodriguez-Vega, M Vogl, GA Fiete - Annals of Physics, 2021 - Elsevier
We review recent work on low-frequency Floquet engineering and its application to quantum
materials driven by light, focusing on van der Waals systems hosting Moiré superlattices …

Generalized WKB theory for electron tunneling in gapped lattices

N Weekes, A Iurov, L Zhemchuzhna, G Gumbs… - Physical Review B, 2021 - APS
We generalize Wentzel-Kramers-Brillouin (WKB) semiclassical equations for pseudospin-1
α− T 3 materials with arbitrary hop** parameter 0< α< 1, which includes the dice lattice …

Floquet engineering of topological transitions in a twisted transition metal dichalcogenide homobilayer

M Vogl, M Rodriguez-Vega, B Flebus, AH MacDonald… - Physical Review B, 2021 - APS
Motivated by the recent experimental realization of twisted transition metal dichalcogenide
bilayers, we study a simplified model driven by different forms of monochromatic light. As a …

Perfect and controllable nesting in minimally twisted bilayer graphene

M Fleischmann, R Gupta, F Wullschläger, S Theil… - Nano …, 2019 - ACS Publications
Parallel (“nested”) regions of a Fermi surface (FS) drive instabilities of the electron fluid, for
example, the spin density wave in elemental chromium. In one-dimensional materials, the …

Effective Floquet Hamiltonians for periodically driven twisted bilayer graphene

M Vogl, M Rodriguez-Vega, GA Fiete - Physical Review B, 2020 - APS
We derive effective Floquet Hamiltonians for twisted bilayer graphene driven by circularly
polarized light in two different regimes beyond the weak-drive, high-frequency regime. First …

Floquet engineering of interlayer couplings: Tuning the magic angle of twisted bilayer graphene at the exit of a waveguide

M Vogl, M Rodriguez-Vega, GA Fiete - Physical Review B, 2020 - APS
We introduce an approach that allows one complete control over the modulation of the
effective twist angle change in few-layer van der Waals heterostructures by irradiating them …

Circular quantum dots in twisted bilayer graphene

M Mirzakhani, FM Peeters, M Zarenia - Physical Review B, 2020 - APS
Within a tight-binding approach, we investigate the effect of twisting angle on the energy
levels of circular bilayer graphene (BLG) quantum dots (QDs) in both the absence and …

Tunneling valley Hall effect induced by coherent geometric phase

W Zeng - Physical Review B, 2024 - APS
The tunneling valley Hall effect allows the electrical generation of the transverse valley-
dependent current in tunnel junctions, which is free from the Berry curvature but requires …

Application of the WKB theory to investigate electron tunneling in Kek-Y graphene

A Iurov, L Zhemchuzhna, G Gumbs, D Huang - Applied Sciences, 2023 - mdpi.com
In this paper, we have constructed a WKB approximation for graphene having a Y-shaped
Kekulé lattice distortion and a special folding of the K and K′ valleys, which leads to very …

Light driven magnetic transitions in transition metal dichalcogenide heterobilayers

M Vogl, S Chaudhary, GA Fiete - Journal of Physics: Condensed …, 2022 - iopscience.iop.org
Motivated by the recent excitement around the physics of twisted transition metal
dichalcogenide (TMD) multilayer systems, we study strongly correlated phases of TMD …