Floquet topological insulators

By J. Cayssol, B. D'ora, F. Simon, Roderich Moessner. 2012

411 citations recorded by the source corpus.

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which provides topological protections. While conventional tools (pressure, doping etc.) to modify the band structure are available, time periodic perturbations can provide tunability by adding time as an extra dimension enhanced to the problem. In this short review, we outline the recent research on topological insulators in non-equilibrium situations. Firstly, we introduce briefly the Floquet formalism that allows to describe steady states of the electronic system with an effective time-independent Hamiltonian. Secondly, we summarize recent theoretical work on how light irradiation drives semi-metallic graphene or a trivial semiconducting system into a topological phase. Finally, we show how photons can be used to probe topological edge or surface states. (© 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/ee83dbe5ce50c4e0521fd1f177950d7f6bdebf26

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Nathan Goldman
2. J. Dalibard
3. J. C. Budich
4. T. Ozawa
5. A. Amo
6. H. Price
7. Peter Zoller
8. Luis E. F. Foa Torres

In Materials Chemistry

1. M. Rechtsman
2. A. Amo
3. M. Hafezi
4. Peter Zoller
5. Oded Zilberberg
6. Jonathan Simon
7. M. Atala
8. Nathan Goldman

Citations in the corpus

• Periodic table for Floquet topological insulators (2016, neutral): “[11] Jérôme Cayssol, Balázs Dóra, Ferenc Simon, and Roderich Moessner, “Floquet topological insulators,” Phys.”
• Artificial gauge fields in materials and engineered systems (2017, neutral): “3], one generally uses the terminology “Floquet–Chern insulator” [34, 54,36,37].”
• Topological quantum matter with ultracold gases in optical lattices (2016, methodology): “regime, the effective Hamiltonian Ĥeff of a circularly shaken honeycomb optical lattice [18, 29] becomes equivalent to the emblematic Haldane model [86], in direct analogy with graphene irradiated by circularly-polarized light [27]; see Figure 4 (b,c).”
• Topological photonics (2018, background): “…to as Floquet engineering, due to its direct relation to the Floquet theorem (Oka and Aoki, 2009; Kitagawa, Berg et al., 2010; Kitagawa et al., 2011; Lindner, Refael, and Galitski, 2011; Cayssol et al., 2013; Goldman and Dalibard, 2014; Bukov, D’Alessio, and Polkovnikov, 2015; Eckardt, 2017).”
• Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields (2014, background): “, semiconductors or graphene) to external electromagnetic radiation [39–46].”
• Floquet topological transitions in a driven one-dimensional topological insulator (2015, background): “Recent studies hint that there might be a third alternative enabling nontrivial topology: shining a laser on a sample [5–8] to generate Floquet topological states [7,9–13].”