Pseudospins revealed through the giant dynamical Franz-Keldysh effect in massless Dirac materials
Source abstract
Abstract
The dynamical Franz-Keldysh effect, indicative of the transient light-matter interaction regime between quantum and classical realms, is widely recognized as an essential signature in wide bandgap condensed matter systems such as dielectrics. In this theoretical study, we applied time-resolved transient absorption spectroscopy to investigate ultrafast optical responses in graphene, a zero-bandgap system. We observed in the gate-tuned graphene that the massless Dirac materials notably enhance intraband light-driven transitions, significantly leading to the giant dynamical Franz-Keldysh effect compared to the massive Dirac materials, a wide bandgap system. In addition, employing the angle-resolved spectroscopy, it is found that the unique polarimetry orientation, i.e., perpendicular polarizations for the pump and the probe, further pronounces the optical spectra to exhibit the complete fishbone structure, reflecting quantum pseudospin natures of Dirac cones. Our findings expand the establishment of emergent transient spectroscopy frameworks into not only zero-bandgap systems but also pseudospin-mediated quantum phenomena, moving beyond dielectrics.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Laser-Matter Interactions and Applications · Quantum chaos and dynamical systems · Topological Materials and Phenomena
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (56)
Show source-provided references
1. Kienberger, R. et al. Atomic transient recorder. Nature 427, 817–821 (2004).10.1038/nature02277 ↗
2. Cavalieri, A. L. et al. Attosecond spectroscopy in condensed matter. Nature 449, 1029–1032 (2007).10.1038/nature06229 ↗
3. Krausz, F. & Ivanov, M. Attosecond physics. Rev. Mod. Phys. 81, 163 (2009).10.1103/RevModPhys.81.163 ↗
4. Kruchinin, S. Y., Krausz, F. & Yakovlev, V. S. Colloquium: Strong-field phenomena in periodic systems. Rev. Mod. Phys. 90, 021002 (2018).10.1103/RevModPhys.90.021002 ↗
5. Lucchini, M. et al. Unravelling the intertwined atomic and bulk nature of localised excitons by attosecond spectroscopy. Nat. Commun. 12, 1021 (2021).10.1038/s41467-021-21345-7 ↗
6. Holler, M., Schapper, F., Gallmann, L. & Keller, U. Attosecond Electron Wave-Packet Interference Observed by Transient Absorption. Phys. Rev. Lett. 106, 123601 (2011).10.1103/PhysRevLett.106.123601 ↗
7. Goulielmakis, E. et al. Real-time observation of valence electron motion. Nature 466, 739–743 (2010).10.1038/nature09212 ↗
8. Kovalev, S. et al. Terahertz signatures of ultrafast Dirac fermion relaxation at the surface of topological insulators. npj Quantum Mater. 6, 84 (2021).10.1038/s41535-021-00384-9 ↗
9. Tang, R., Boi, F. & Cheng, Y. H. Light-induced topological phase transition via nonlinear phononics in superconductor CsV3Sb5. npj Quantum Mater. 8, 78 (2023).10.1038/s41535-023-00609-z ↗
10. Chini, M. et al. Subcycle ac Stark Shift of Helium Excited States Probed with Isolated Attosecond Pulses. Phys. Rev. Lett. 109, 073601 (2012).10.1103/PhysRevLett.109.073601 ↗
11. Drescher, L., Vrakking, M. J. J. & Mikosch, J. Attosecond transient absorption spectroscopy without inversion symmetry. J. Phys. B: At. Mol. Opt. Phys. 53, 164005 (2020).10.1088/1361-6455/ab9765 ↗
12. Mashiko, H., Oguri, K., Yamaguchi, T., Suda, A. & Gotoh, H. Petahertz optical drive with wide-bandgap semiconductor. Nat. Phys. 12, 741–745 (2016).10.1038/nphys3711 ↗
13. Schultze, M. et al. Attosecond band-gap dynamics in silicon. Science 346, 1348–1352 (2014).10.1126/science.1260311 ↗
14. Schlaepfer, F. et al. Attosecond optical-field-enhanced carrier injection into the GaAs conduction band. Nat. Phys. 14, 560–564 (2018).10.1038/s41567-018-0069-0 ↗
15. Zürch, M. et al. Direct and simultaneous observation of ultrafast electron and hole dynamics in germanium. Nat. Commun. 8, 15734 (2017).10.1038/ncomms15734 ↗
16. Sato, S. A., Hübener, H., Giovannini, U. D. & Rubio, A. Ab initio simulation of attosecond transient absorption spectroscopy in two-dimensional materials. Appl. Sci. 8, 1777 (2018).10.3390/app8101777 ↗
17. Yacoby, Y. High-Frequency Franz-Keldysh Effect. Phys. Rev. 169, 610–619 (1968).10.1103/PhysRev.169.610 ↗
18. Jauho, A. P. & Johnsen, K. Dynamical Franz-Keldysh Effect. Phys. Rev. Lett. 76, 4576 (1996).10.1103/PhysRevLett.76.4576 ↗
19. Novelli, F., Fausti, D., Giusti, F., Parmigiani, F. & Hoffmann, M. Mixed regime of light-matter interaction revealed by phase sensitive measurements of the dynamical Franz-Keldysh effect. Sci. Rep. 3, 1227 (2013).10.1038/srep01227 ↗
20. Otobe, T., Shinohara, Y., Sato, S. A. & Yabana, K. Femtosecond time-resolved dynamical Franz-Keldysh effect. Phys. Rev. B 93, 045124 (2016).10.1103/PhysRevB.93.045124 ↗
21. Du, M., Liu, C., Zheng, Y., Zeng, Z. & Li, R. Attosecond transient-absorption spectroscopy in one-dimensional periodic crystals. Phys. Rev. A 100, 043840 (2019).10.1103/PhysRevA.100.043840 ↗
22. Lucchini, M. et al. Attosecond dynamical Franz-Keldysh effect in polycrystalline diamond. Science 353, 6302 (2016).10.1126/science.aag1268 ↗
23. Lucchini, M. et al. Attosecond timing of the dynamical Franz-Keldysh effect. J. Phys.: Photonics 2, 025001 (2020).
24. Volkov, M. et al. Floquet-Bloch resonances in near-petahertz electroabsorption spectroscopy of SiO2. Phys. Rev. B 107, 184304 (2023).10.1103/PhysRevB.107.184304 ↗
25. Picón, A., Plaja, L. & Biegert, J. Attosecond x-ray transient absorption in condensed-matter: a core-state-resolved Bloch model. New J. Phys. 21, 043029 (2019).10.1088/1367-2630/ab1311 ↗
26. Dong, F. & Liu, J. Fishbone resonance structure in the attosecond transient absorption spectrum of graphene. Phys. Rev. A 106, 063107 (2022).10.1103/PhysRevA.106.063107 ↗
27. Srivastava, A. & Kono, J. Postconference Digest Quantum Electronics and Laser Science, 2003. QELS., Baltimore, MD, USA, 2003, pp. 2 pp.-, https://doi.org/10.1109/QELS.2003.238340.10.1109/QELS.2003.238340 ↗
28. Yu, P. Y. & Cardona, M. Fundamentals of Semiconductors (Springer, ed. 4, 2010).10.1007/978-3-642-00710-1 ↗
29. Franz, W. Einfluß eines elektrischen Feldes auf eine optische Absorptionskante. Z. Naturforschung 13a, 484 (1958).10.1515/zna-1958-0609 ↗
30. Keldysh, L. Behaviour of Non-Metallic Crystals in Strong Electric Fields, J. Exptl.
31. Tharmalingam, K. Optical Absorption in the Presence of a Uniform Field. Phys. Rev. 130, 2204 (1963).10.1103/PhysRev.130.2204 ↗
32. Nahory, R. E. & Shay, J. L. Reflectance Modulation by the Surface Field in GaAs. Phys. Rev. Lett. 21, 1569 (1968).10.1103/PhysRevLett.21.1569 ↗
33. Tancogne-Dejean, N., Sentef, M. A. & Rubio, A. Ultrafast transient absorption spectroscopy of the charge-transfer insulator NiO: Beyond the dynamical Franz-Keldysh effect. Phys. Rev. B 102, 115106 (2020).10.1103/PhysRevB.102.115106 ↗
34. Kim, Y. Ultrafast transient absorption spectroscopy of strongly correlated Mott insulators. Phys. Rev. B 108, 035122 (2023).10.1103/PhysRevB.108.035122 ↗
35. Yoshikawa, N., Tamaya, T. & Tanaka, K. High-harmonic generation in graphene enhanced by elliptically polarized light excitation. Science 356, 736 (2017).10.1126/science.aam8861 ↗
36. Sato, S. A., Hirori, H., Sanari, Y., Kanemitsu, Y. & Rubio, A. High-order harmonic generation in graphene: Nonlinear coupling of intraband and interband transitions. Phys. Rev. B 103, L041408 (2021).10.1103/PhysRevB.103.L041408 ↗
37. Jiang, T. et al. Gate-tunable third-order nonlinear optical response of massless Dirac fermions in graphene. Nat. Photon. 12, 430–436 (2018).10.1038/s41566-018-0175-7 ↗
38. Kim, Y. et al. Dephasing Dynamics Accessed by High Harmonic Generation: Determination of Electron-Hole Decoherence of Dirac Fermions. Nano Lett. 24, 1277–1283 (2024).10.1021/acs.nanolett.3c04278 ↗
39. Kim, K. W., Kim, H., Kwon, H. & Park, K. Floquet topological semimetal with a helical nodal line in 2+1 dimensions. Phys. Rev. B 99, 115136 (2019).10.1103/PhysRevB.99.115136 ↗
40. McIver, J. W. et al. Light-induced anomalous Hall effect in graphene. Nat. Phys. 16, 38–41 (2020).10.1038/s41567-019-0698-y ↗
41. Oka, T. & Aoki, H. Photovoltaic Hall effect in graphene. Phys. Rev. B 79, 081406(R) (2009).10.1103/PhysRevB.79.081406 ↗
42. Kim, Y. & Lee, J. D. Ultrafast dynamics of phase and topology in Dirac semiconductors. Mater. Today Phys. 21, 100525 (2021).10.1016/j.mtphys.2021.100525 ↗
43. Li, Z. Q. et al. Dirac charge dynamics in graphene by infrared spectroscopy. Nat. Phys. 4, 532–535 (2008).10.1038/nphys989 ↗
44. Horng, J. et al. Drude conductivity of Dirac fermions in graphene. Phys. Rev. B 83, 165113 (2011).10.1103/PhysRevB.83.165113 ↗
45. Hu, S.-Q. et al. Tracking photocarrier-enhanced electron-phonon coupling in nonequilibrium. npj Quantum Mater. 7, 14 (2022).10.1038/s41535-021-00421-7 ↗
46. Ye, J., Craciun, M. F., Koshino, M. & Iwasa, Y. Accessing the transport properties of graphene and its multilayers at high carrier density. Proc. Natl Acad. Sci. 108, 13002–13006 (2011).10.1073/pnas.1018388108 ↗
47. Efetov, D. K. & Kim, P. Controlling Electron-Phonon Interactions in Graphene at Ultrahigh Carrier Densities. Phys. Rev. Lett. 105, 256805 (2010).10.1103/PhysRevLett.105.256805 ↗
48. Liu, J. et al. The Dependence of Graphene Raman D-band on Carrier Density. Nano Lett. 13, 12 (2013).10.1021/nl4035048 ↗
49. Zhao, J. et al. Graphene, Application of sodium-ion-based solid electrolyte in electrostatic tuning of carrier density in graphene. Sci. Rep. 7, 3168 (2017).10.1038/s41598-017-03413-5 ↗
50. Zhou, Y. & Wu, M. W. Optical response of graphene under intense terahertz fields. Phys. Rev. B 83, 245436 (2011).10.1103/PhysRevB.83.245436 ↗
51. Otobe, T. Attosecond electro-optic effect in zinc sulfide induced by a laser field. Phys. Rev. A 100, 033401 (2019).10.1103/PhysRevA.100.033401 ↗
52. Seraphin, B. O. & Bottka, N. Franz-Keldysh Effect of the Refractive Index in Semiconductors. Phys. Rev. 139, A560 (1965).10.1103/PhysRev.139.A560 ↗
53. Sato, S. A. et al. Microscopic theory for the light-induced anomalous Hall effect in graphene. Phys. Rev. B 99, 214302 (2019).10.1103/PhysRevB.99.214302 ↗
54. Echtermeyer, T. J. et al. Photothermoelectric and Photoelectric Contributions to Light Detection in Metal-Graphene-Metal Photodetectors. Nano Lett. 14, 3733–3742 (2014).10.1021/nl5004762 ↗
55. Cistaro, G., Plaja, L., Martín, F. & Picón, A. Attosecond x-ray transient absorption spectroscopy in graphene. Phys. Rev. Res. 3, 013144 (2021).10.1103/PhysRevResearch.3.013144 ↗
56. Srivastava, A., Srivastava, R., Wang, J. & Kono, J. Laser-Induced Above-Band-Gap Transparency in GaAs. Phys. Rev. Lett. 93, 157401 (2004).10.1103/PhysRevLett.93.157401 ↗