Lu, I.-T. et al. Cavity engineering of solid-state materials without external driving. Adv. Opt. Photonics 17, 441–525 (2025).

Article 

Google Scholar
 

Zhang, Y. et al. Direct observation of a widely tunable bandgap in bilayer graphene. Nature 459, 820–823 (2009).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Kockum, A. F., Miranowicz, A., De Liberato, S., Savasta, S. & Nori, F. Ultrastrong coupling between light and matter. Nat. Rev. Phys. 1, 19–40 (2019).

Article 

Google Scholar
 

Disa, A. S., Nova, T. F. & Cavalleri, A. Engineering crystal structures with light. Nat. Phys. 17, 1087–1092 (2021).

Article 
CAS 

Google Scholar
 

Lu, I. et al. Cavity-enhanced superconductivity in MgB2 from first-principles quantum electrodynamics (QEDFT). Proc. Natl Acad. Sci. USA 121, e2415061121 (2024).

Article 
CAS 
PubMed 
PubMed Central 

Google Scholar
 

Ashida, Y. et al. Quantum electrodynamic control of matter: cavity-enhanced ferroelectric phase transition. Phys. Rev. X 10, 041027 (2020).

CAS 

Google Scholar
 

Latini, S. et al. The ferroelectric photo ground state of SrTiO3: Cavity materials engineering. Proc. Natl Acad. Sci. USA 118, e2105618118 (2021).

Article 
CAS 
PubMed 
PubMed Central 

Google Scholar
 

Andolina, G. M., Pellegrino, F. M. D., Giovannetti, V., MacDonald, A. H. & Polini, M. Theory of photon condensation in a spatially varying electromagnetic field. Phys. Rev. B 102, 125137 (2020).

Article 
ADS 
CAS 

Google Scholar
 

Li, J. & Eckstein, M. Manipulating intertwined orders in solids with quantum light. Phys. Rev. Lett. 125, 217402 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Jarc, G. et al. Cavity-mediated thermal control of metal-to-insulator transition in 1T-TaS2. Nature 622, 487–492 (2023).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Appugliese, F. et al. Breakdown of topological protection by cavity vacuum fields in the integer quantum Hall effect. Science 375, 1030–1034 (2022).

Article 
ADS 
MathSciNet 
CAS 
PubMed 

Google Scholar
 

Enkner, J. et al. Tunable vacuum-field control of fractional and integer quantum Hall phases. Nature 641, 884–889 (2025).

Article 
CAS 
PubMed 
PubMed Central 

Google Scholar
 

Khurgin, J. Excitonic radius in the cavity polariton in the regime of very strong coupling. Solid State Commun. 117, 307–310 (2001).

Article 
ADS 
CAS 

Google Scholar
 

Cortese, E., Carusotto, I., Colombelli, R. & De Liberato, S. Strong coupling of ionizing transitions. Optica 6, 354–361 (2019).

Article 
ADS 
CAS 

Google Scholar
 

Kumar, S. S., Parish, M. M. & Levinsen, J. Microscopic theory of excitons bound by light. Phys. Rev. B 106, 205414 (2022).

Article 
ADS 
CAS 

Google Scholar
 

Cortese, E. et al. Excitons bound by photon exchange. Nat. Phys. 17, 31–35 (2021).

Article 
CAS 

Google Scholar
 

Bloch, J., Freixanet, T., Marzin, J. Y., Thierry-Mieg, V. & Planel, R. Giant Rabi splitting in a microcavity containing distributed quantum wells. Appl. Phys. Lett. 73, 1694–1696 (1998).

Article 
ADS 
CAS 

Google Scholar
 

Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Regan, E. C. et al. Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices. Nature 579, 359–363 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Shimazaki, Y. et al. Strongly correlated electrons and hybrid excitons in a moiré heterostructure. Nature 580, 472–477 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Ciorciaro, L. et al. Kinetic magnetism in triangular moiré materials. Nature 623, 509–513 (2023).

Article 
ADS 
CAS 
PubMed 
PubMed Central 

Google Scholar
 

Cai, J. et al. Signatures of fractional quantum anomalous Hall states in twisted MoTe2. Nature 622, 63–68 (2023).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Kavokin, A. V., Baumberg, J. J., Malpuech, G. & Laussy, F. P. Microcavities 2nd edn (Oxford Univ. Press, 2017).

Scalari, G. et al. Ultrastrong coupling of the cyclotron transition of a 2D electron gas to a THz metamaterial. Science 335, 1323–1326 (2012).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Rajabali, S. et al. An ultrastrongly coupled single terahertz meta-atom. Nat. Commun. 13, 2528 (2022).

Article 
ADS 
CAS 
PubMed 
PubMed Central 

Google Scholar
 

Basov, D. N., Averitt, R. D., van der Marel, D., Dressel, M. & Haule, K. Electrodynamics of correlated electron materials. Rev. Mod. Phys. 83, 471–541 (2011).

Article 
ADS 
CAS 

Google Scholar
 

Rajabali, S. et al. Polaritonic nonlocality in light–matter interaction. Nat. Photon. 15, 690–695 (2021).

Article 
ADS 
CAS 

Google Scholar
 

McCann, E. & Koshino, M. The electronic properties of bilayer graphene. Rep. Prog. Phys. 76, 056503 (2013).

Article 
ADS 
PubMed 

Google Scholar
 

Ju, L. et al. Tunable excitons in bilayer graphene. Science 358, 907–910 (2017).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Valmorra, F. et al. Low-bias active control of terahertz waves by coupling large-area CVD graphene to a terahertz metamaterial. Nano Lett. 13, 3193–3198 (2013).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

De Liberato, S. Perspectives for gapped bilayer graphene polaritonics. Phys. Rev. B 92, 125433 (2015).

Article 
ADS 

Google Scholar
 

Duarte, V. G. M. et al. Tunable exciton polaritons in biased bilayer graphene. Phys. Rev. B 111, 075411 (2025).

Article 
ADS 
CAS 

Google Scholar
 

Averkiev, N. S. & Glazov, M. M. Light-matter interaction in doped microcavities. Phys. Rev. B 76, 045320 (2007).

Article 
ADS 

Google Scholar
 

Hopfield, J. J. Theory of the contribution of excitons to the complex dielectric constant of crystals. Phys. Rev. 112, 1555–1567 (1958).

Article 
ADS 
CAS 

Google Scholar
 

Henriques, J. C. G., Epstein, I. & Peres, N. M. R. Absorption and optical selection rules of tunable excitons in biased bilayer graphene. Phys. Rev. B 105, 045411 (2022).

Article 
ADS 
CAS 

Google Scholar
 

Sauer, M. O. & Pedersen, T. G. Exciton absorption, band structure, and optical emission in biased bilayer graphene. Phys. Rev. B 105, 115416 (2022).

Article 
ADS 
CAS 

Google Scholar
 

De Liberato, S. Virtual photons in the ground state of a dissipative system. Nat. Commun. 8, 1465 (2017).

Article 
ADS 
PubMed 
PubMed Central 

Google Scholar
 

Geiser, M. et al. Strong light-matter coupling at terahertz frequencies at room temperature in electronic LC resonators. Appl. Phys. Lett. 97, 191107 (2010).

Article 
ADS 

Google Scholar
 

Kipp, G. et al. Cavity electrodynamics of van der Waals heterostructures. Nat. Phys. 21, 1926–1933 (2025).

Article 
CAS 
PubMed 
PubMed Central 

Google Scholar
 

Grischkowsky, D. R. Optoelectronic characterization of transmission lines and waveguides by terahertz time-domain spectroscopy. IEEE J. Sel. Top. Quantum Electron. 6, 1122–1135 (2000).

Article 
ADS 
CAS 

Google Scholar
 

Haastrup, S. et al. The Computational 2D Materials Database: high-throughput modeling and discovery of atomically thin crystals. 2D Mater. 5, 042002 (2018).

Article 
CAS 

Google Scholar
 

Yang, J. et al. Spectroscopy signatures of electron correlations in a trilayer graphene/hBN moiré superlattice. Science 375, 1295–1299 (2022).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Ma, L. et al. Strongly correlated excitonic insulator in atomic double layers. Nature 598, 585–589 (2021).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Brem, S. & Malic, E. Terahertz fingerprint of monolayer Wigner crystals. Nano Lett. 22, 1311–1315 (2022).

Article 
ADS 
CAS 
PubMed 
PubMed Central 

Google Scholar
 

Guo, X. et al. Terahertz nanoscopy: advances, challenges, and the road ahead. Appl. Phys. Rev. 11, 021306 (2024).

Article 
ADS 
CAS 

Google Scholar
 

Kozin, V. K., Thingstad, E., Loss, D. & Klinovaja, J. Cavity-enhanced superconductivity via band engineering. Phys. Rev. B 111, 035410 (2025).

Article 
ADS 
CAS 

Google Scholar
 

Zhou, H. et al. Isospin magnetism and spin-polarized superconductivity in Bernal bilayer graphene. Science 375, 774–778 (2022).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Mazza, G. & Georges, A. Superradiant quantum materials. Phys. Rev. Lett. 122, 017401 (2019).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Andolina, G. M., Pellegrino, F. M. D., Giovannetti, V., MacDonald, A. H. & Polini, M. Cavity quantum electrodynamics of strongly correlated electron systems: a no-go theorem for photon condensation. Phys. Rev. B 100, 121109 (2019).

Article 
ADS 
CAS 

Google Scholar
 

Paul, N., Abouelkomsan, A., Reddy, A. & Fu, L. Shining light on collective modes in moiré fractional Chern insulators. Preprint at https://arxiv.org/abs/2502.17569 (2025).

Pierret, A. et al. Dielectric permittivity, conductivity and breakdown field of hexagonal boron nitride. Mater. Res. Express 9, 065901 (2022).

Article 
ADS 
CAS 

Google Scholar
 

Bandurin, D. A. et al. Resonant terahertz detection using graphene plasmons. Nat. Commun. 9, 5392 (2018).

Article 
ADS 
CAS 
PubMed 
PubMed Central 

Google Scholar
 

Yoshioka, K. et al. On-chip transfer of ultrashort graphene plasmon wave packets using terahertz electronics. Nat. Electron. 7, 537–544 (2024).

Article 
CAS 

Google Scholar
 

Zhao, W. et al. Observation of hydrodynamic plasmons and energy waves in graphene. Nature 614, 688–693 (2023).

Article 
ADS 
CAS 
PubMed 

Google Scholar
 

Tomadin, A., Carrega, M. & Polini, M. Microscopic theory of plasmon-enabled resonant terahertz detection in bilayer graphene. Phys. Rev. B 103, 085426 (2021).

Article 
ADS 
CAS 

Google Scholar
 

Ciuti, C., Bastard, G. & Carusotto, I. Quantum vacuum properties of the intersubband cavity polariton field. Phys. Rev. B 72, 115303 (2005).

Article 
ADS 

Google Scholar
 

Fano, U. Effects of configuration interaction on intensities and phase shifts. Phys. Rev. 124, 1866–1878 (1961).

Article 
ADS 
CAS 

Google Scholar
 

Byrnes, S. J. Multilayer optical calculations. Preprint at https://arxiv.org/abs/1603.02720 (2020).

McCann, E. Asymmetry gap in the electronic band structure of bilayer graphene. Phys. Rev. B 74, 161403 (2006).

Article 
ADS 

Google Scholar