Tessellated phase diagram and extended criticality in driven quasicrystals and quantum Hall matter
Abstract
The well-known mapping between 1D quasiperiodic systems and 2D integer quantum Hall matter can also be applied in the presence of driving. Here we explore the effect of time-varying electric fields on the transport properties and phase diagram of Harper-Hofstadter materials. We consider light of arbitrary polarization illuminating a 2D electron gas at high magnetic field; this system maps to a 1D quasicrystal subjected to simultaneous phasonic and dipolar driving. We show that this generalized driving generates a tessellated phase diagram featuring a nested duality-protected pattern of metal-insulator transitions. Circularly or elliptically polarized light can create an extended critical phase, opening up a new route to achieving wavefunction multifractality without fine-tuning to a critical point, as well as induce Floquet topological insulators. We describe in detail a path to experimental realization of these phenomena using lattice-trapped ultracold atoms.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.01445
- arXiv:
- arXiv:2406.01445
- Bibcode:
- 2024arXiv240601445B
- Keywords:
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- Physics - Atomic Physics;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Quantum Gases
- E-Print:
- Corrected typos. 15 pages, 10 figures including appendices. Comments are welcome!