Oka, T. & Aoki, H. Photovoltaic Hall effect in graphene. Phys. Rev. B 79, 081406(R) (2009).
Kitagawa, T., Oka, T., Brataas, A., Fu, L. & Demler, E. Transport properties of nonequilibrium systems under the application of light: photoinduced quantum Hall insulators without Landau levels. Phys. Rev. B 84, 235108 (2011).
Lindner, N. H., Refael, G. & Galitski, V. Floquet topological insulator in semiconductor quantum wells. Nat. Phys. 7, 490–495 (2011).
Jotzu, G. et al. Experimental realization of the topological Haldane model with ultracold fermions. Nature 515, 237–240 (2014).
Rechtsman, M. C. et al. Photonic Floquet topological insulators. Nature 496, 196–200 (2013).
Shirley, J. H. Solution of the Schrödinger equation with a Hamiltonian periodic in time. Phys. Rev. 138, B979 (1965).
Oka, T. & Kitamura, S. Floquet engineering of quantum materials. Annu. Rev. Condens. Matter Phys. 10, 387–408 (2019).
Rudner, M. S. & Lindner, N. H. Band structure engineering and non-equilibrium dynamics in Floquet topological insulators. Nat. Rev. Phys. 2, 229–244 (2020).
Weber, C. P. Ultrafast investigation and control of Dirac and Weyl semimetals. J. Appl. Phys. 129, 070901 (2021).
de la Torre, A. et al. Colloquium: Nonthermal pathways to ultrafast control in quantum materials. Rev. Mod. Phys. 93, 041002 (2021).
Bao, C., Tang, P., Sun, D. & Zhou, S. Light-induced emergent phenomena in 2D materials and topological materials. Nat. Rev. Phys. 4, 33–48 (2021).
Wang, Y., Steinberg, H., Jarillo-Herrero, P. & Gedik, N. Observation of Floquet-Bloch states on the surface of a topological insulator. Science 342, 453–457 (2013).
McIver, J. W. et al. Light-induced anomalous Hall effect in graphene. Nat. Phys. 16, 38–41 (2020).
Kim, J. et al. Ultrafast generation of pseudo-magnetic field for valley excitons in WSe2 monolayers. Science 346, 1205–1208 (2014).
Sie, E. J. et al. Valley-selective optical Stark effect in monolayer WS2. Nat. Mater. 14, 290–294 (2015).
Shan, J.-Y. et al. Giant modulation of optical nonlinearity by Floquet engineering. Nature 600, 235–239 (2021).
Katan, Y. T. & Podolsky, D. Modulated Floquet topological insulators. Phys. Rev. Lett. 110, 016802 (2013).
De Giovannini, U., Hübener, H. & Rubio, A. Monitoring electron-photon dressing in WSe2. Nano Lett. 16, 7993–7998 (2016).
Claassen, M., Jia, C., Moritz, B. & Devereaux, T. P. All-optical materials design of chiral edge modes in transition-metal dichalcogenides. Nat. Commun. 7, 13074 (2016).
Zhang, X.-X., Ong, T. T. & Nagaosa, N. Theory of photoinduced Floquet Weyl semimetal phases. Phys. Rev. B 94, 235137 (2016).
Ashcroft, N. W. & Mermin, N. D. Solid State Physics (Saunders College, 1976).
Hübener, H., Sentef, M. A., De Giovannini, U., Kemper, A. F. & Rubio, A. Creating stable Floquet–Weyl semimetals by laser-driving of 3D Dirac materials. Nat. Commun. 8, 13940 (2017).
Chan, C.-K., Oh, Y.-T., Han, J. H. & Lee, P. A. Type-II Weyl cone transitions in driven semimetals. Phys. Rev. B 94, 121106(R) (2016).
Yan, Z. & Wang, Z. Tunable Weyl points in periodically driven nodal line semimetals. Phys. Rev. Lett. 117, 087402 (2016).
Chan, C.-K., Lee, P. A., Burch, K. S., Han, J. H. & Ran, Y. When chiral photons meet chiral fermions: photoinduced anomalous Hall effects in Weyl semimetals. Phys. Rev. Lett. 116, 026805 (2016).
Park, S. et al. Steady Floquet–Andreev states in graphene Josephson junctions. Nature 603, 421–426 (2022).
Aeschlimann, S. et al. Survival of Floquet–Bloch states in the presence of scattering. Nano Lett. 21, 5028–5035 (2021).
Jung, S. W. et al. Black phosphorus as a bipolar pseudospin semiconductor. Nat. Mater. 19, 277–281 (2020).
Tran, V., Soklaski, R., Liang, Y. & Yang, L. Layer-controlled band gap and anisotropic excitons in few-layer black phosphorus. Phys. Rev. B 89, 235319 (2014).
Qiao, J., Kong, X., Hu, Z. X., Yang, F. & Ji, W. High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus. Nat. Commun. 5, 4475 (2014).
Yuan, H. et al. Polarization-sensitive broadband photodetector using a black phosphorus vertical p–n junction. Nat. Nanotechnol. 10, 707–713 (2015).
Mahmood, F. et al. Selective scattering between Floquet–Bloch and Volkov states in a topological insulator. Nat. Phys. 12, 306–310 (2016).
Nurmamat, M. et al. Prolonged photo-carriers generated in a massive-and-anisotropic Dirac material. Sci. Rep. 8, 9073 (2018).
Chen, Z. et al. Band gap renormalization, carrier multiplication, and Stark broadening in photoexcited black phosphorus. Nano Lett. 19, 488–493 (2018).
Roth, S. et al. Photocarrier-induced band-gap renormalization and ultrafast charge dynamics in black phosphorus. 2D Mater. 6, 031001 (2019).
Chen, Z. et al. Spectroscopy of buried states in black phosphorus with surface doping. 2D Mater. 7, 035027 (2020).
Hedayat, H. et al. Non-equilibrium band broadening, gap renormalization and band inversion in black phosphorus. 2D Mater. 8, 025020 (2021).
Kremer, G. et al. Ultrafast dynamics of the surface photovoltage in potassium-doped black phosphorus. Phys. Rev. B 104, 035125 (2021).
Autler, S. H. & Townes, C. H. Stark effect in rapidly varying fields. Phys. Rev. 100, 703 (1955).
Seah, M. P. & Dench, W. Quantitative electron spectroscopy of surfaces: a standard data base for electron inelastic mean free paths in solids. Surf. Interface Anal. 1, 2–11 (1979).
Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169 (1996).
Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59, 1758 (1999).
Dion, M., Rydberg, H., Schröder, E., Langreth, D. C. & Lundqvist, B. I. Van der Waals density functional for general geometries. Phys. Rev. Lett. 92, 246401 (2004).
Klimeš, J., Bowler, D. R. & Michaelides, A. Van der Waals density functionals applied to solids. Phys. Rev. B 83, 195131 (2011).
Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865 (1996).
Krukau, A. V., Vydrov, O. A., Izmaylov, A. F. & Scuseria, G. E. Influence of the exchange screening parameter on the performance of screened hybrid functionals. J. Chem. Phys. 125, 224106 (2006).
Mostofi, A. A. et al. wannier90: a tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 178, 685–699 (2008).
Mostofi, A. A. et al. An updated version of wannier90: a tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 185, 2309–2310 (2014).
Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I. & Vanderbilt, D. Maximally localized Wannier functions: theory and applications. Rev. Mod. Phys. 84, 1419 (2012).
More News
Author Correction: Bitter taste receptor activation by cholesterol and an intracellular tastant – Nature
Audio long read: How does ChatGPT ‘think’? Psychology and neuroscience crack open AI large language models
Ozempic keeps wowing: trial data show benefits for kidney disease