Attosecond band-gap dynamics in silicon
Abstract
Electron transfer from valence to conduction band states in semiconductors is the basis of modern electronics. Here, attosecond extreme ultraviolet (XUV) spectroscopy is used to resolve this process in silicon in real time. Electrons injected into the conduction band by few-cycle laser pulses alter the silicon XUV absorption spectrum in sharp steps synchronized with the laser electric field oscillations. The observed ~450-attosecond step rise time provides an upper limit for the carrier-induced band-gap reduction and the electron-electron scattering time in the conduction band. This electronic response is separated from the subsequent band-gap modifications due to lattice motion, which occurs on a time scale of 60 ± 10 femtoseconds, characteristic of the fastest optical phonon. Quantum dynamical simulations interpret the carrier injection step as light-field–induced electron tunneling.
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Remarkable results for photoemission delays from orbitals, electronic timescales of dielectric properties, and band gap excitation provide compelling evidence that attosecond methods will continue to address new frontiers in dynamics.
“Remarkable results for photoemission delays from orbitals, electronic timescales of dielectric properties [213] and band gap excitation [214] provide compelling evidence that attosecond methods will continue to address new frontiers in dynamics.”
From Roadmap of ultrafast x-ray atomic and molecular physics (2018) · cites this paper as [214]
Cites
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824 · see citing works
Special points for Brillouin-zone integrations
Monkhorst, H. J., & Pack, J. D. (1976) · Physical Review B · doi:10.1103/physrevb.13.5188 · Cited by 71,721 · see citing works
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135 · see citing works
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
Giannozzi, P., Stefano Baroni, A., Bonini, N., Calandra, M., Car, R., Cavazzoni, C., Ceresoli, D., Chiarotti, G., Cococcioni, M., Dabo, I., et al. (2009) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/21/39/395502 · Cited by 29,336 · see citing works
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887 · see citing works
Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies
Hybertsen, M. S., & Louie, S. G. (1986) · Physical Review B · doi:10.1103/physrevb.34.5390 · Cited by 3,963 · see citing works
Kienberger, R., Goulielmakis, E., Uiberacker, M., Baltuška, A., Yakovlev, V. S., Bammer, F., Scrinzi, A., Westerwalbesloh, T., Kleineberg, U., Heinzmann, U., et al. (2004) · Nature · doi:10.1038/nature02277 · Cited by 1,344 · see citing works
Ionization in the field of a strong electromagnetic wave
Keldysh, L. V. (2023) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789811279461_0008 · Cited by 1,307 · see citing works
Effects of Electron-Electron and Electron-Phonon Interactions on the One-Electron States of Solids
Hedin, L., & Lundqvist, S. (1970) · Solid state physics · doi:10.1016/s0081-1947(08)60615-3 · Cited by 1,144 · see citing works
Theory of thermal relaxation of electrons in metals
Allen, P. B. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.1460 · Cited by 1,135 · see citing works
Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures
Shah, J. (1999) · Springer series in solid-state sciences · doi:10.1007/978-3-662-03770-6 · Cited by 1,132 · see citing works
Deslippe, J. R., Samsonidze, G. G., Strubbe, D. A., Jain, M., Cohen, M. L., & Louie, S. G. (2011) · Computer Physics Communications · doi:10.1016/j.cpc.2011.12.006 · Cited by 998 · see citing works
Growth of native oxide on a silicon surface
Morita, M., Ohmi, T., Hasegawa, E., Kawakami, M., & Ohwada, M. (1990) · Journal of Applied Physics · doi:10.1063/1.347181 · Cited by 920 · see citing works
Femtosecond Optical Breakdown in Dielectrics
Lenzner, M., Krüger, J., Sartania, S., Cheng, Z., Spielmann, C., Mourou, G. A., Kautek, W., & Krausz, F. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.4076 · Cited by 906 · see citing works
Room temperature coherent control of defect spin qubits in silicon carbide
Koehl, W. F., Buckley, B. B., Heremans, F. J., Calusine, G., & Awschalom, D. D. (2011) · Nature · doi:10.1038/nature10562 · Cited by 849 · see citing works
Laser-induced breakdown by impact ionization in SiO2 with pulse widths from 7 ns to 150 fs
Du, D., Liu, X., Korn, G., et al. (1994) · Applied Physics Letters · doi:10.1063/1.111350 · Cited by 847 · see citing works
Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures
Shah, J. (1996) · Springer series in solid-state sciences · doi:10.1007/978-3-662-03299-2 · Cited by 619 · see citing works
Controlling dielectrics with the electric field of light
Schultze, M., Bothschafter, E. M., Sommer, A., Holzner, S., Schweinberger, W., Fiess, M., Hofstetter, M., Kienberger, R., Apalkov, V., Yakovlev, V. S., et al. (2013) · Nature · doi:10.1038/nature11720 · Cited by 604 · see citing works
Self-citationAttosecond metrology: from electron capture to future signal processing
Krausz, F., & Stockman, M. I. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.28 · Cited by 485 · see citing works
Atomic L-Shell Coster-Kronig, Auger, and Radiative Rates and Flourescence Yields for Na-Th
McGuire, E. J. (1971) · Physical Review A · doi:10.1103/physreva.3.587 · Cited by 453 · see citing works
Femtosecond Photon Echoes from Band-to-Band Transitions in GaAs
Becker, P. C., Fragnito, H. L., Cruz, C. H. B., et al. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1647 · Cited by 449 · see citing works
X-Ray Absorption Spectra of Water from First Principles Calculations
Prendergast, D., & Galli, G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.215502 · Cited by 366 · see citing works
Self-citationTheory of inelastic lifetimes of low-energy electrons in metals
Echenique, P. M., Pitarke, J. M., Chulkov, E. V., & Rubio, Á. (2000) · Chemical Physics · doi:10.1016/s0301-0104(99)00313-4 · Cited by 330 · see citing works
Band-structure approach to the x-ray spectra of metals
Müller, J. E., & Wilkins, J. W. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.29.4331 · Cited by 265 · see citing works
Time-dependent density functional theory for strong electromagnetic fields in crystalline solids
Yabana, K., Sugiyama, T., Shinohara, Y., Otobe, T., & Bertsch, G. F. (2012) · Physical Review B · doi:10.1103/physrevb.85.045134 · Cited by 247 · see citing works
Self-citationResistivity‐Dopant Density Relationship for Boron‐Doped Silicon
Thurber, W. R., Mattis, R. L., Liu, Y. M., et al. (1980) · Journal of The Electrochemical Society · doi:10.1149/1.2129394 · Cited by 213 · see citing works
Phonon-Assisted Optical Absorption in Silicon from First Principles
Noffsinger, J., Kioupakis, E., de Walle, C. G. V., Louie, S. G., & Cohen, M. L. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.167402 · Cited by 199 · see citing works
Otobe, T., Yamagiwa, M., Iwata, J., Yabana, K., Nakatsukasa, T., & Bertsch, G. F. (2008) · Physical Review B · doi:10.1103/physrevb.77.165104 · Cited by 194 · see citing works
Self-citationEffect of heavy doping on the optical properties and the band structure of silicon
Viña, L., & Cardona, M. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.29.6739 · Cited by 160 · see citing works
On the hydration and hydrolysis of carbon dioxide
England, A. H., Duffin, A. M., Schwartz, C. P., Uejio, J. S., Prendergast, D., & Saykally, R. J. (2011) · Chemical Physics Letters · doi:10.1016/j.cplett.2011.08.063 · Cited by 144 · see citing works
Self-citationCoherent Ballistic Motion of Electrons in a Periodic Potential
Kuehn, W., Gaal, P., Reimann, K., Woerner, M., Elsaesser, T., & Hey, R. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.146602 · Cited by 134 · see citing works
Tangney, P., & Fahy, S. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.65.054302 · Cited by 129 · see citing works
Coherent control of Rydberg states in silicon
Greenland, P. T., Lynch, S. A., van der Meer, A. F. G., et al. (2010) · Nature · doi:10.1038/nature09112 · Cited by 129 · see citing works
Properties of Liquid Silicon Observed by Time-Resolved X-Ray Absorption Spectroscopy
Johnson, S. L., Heimann, P., Lindenberg, A. M., Jeschke, H. O., Garcia, M. E., Chang, Z., Lee, R. W., Rehr, J. J., & Falcone, R. W. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.157403 · Cited by 94 · see citing works
Laser-Induced Above-Band-Gap Transparency in GaAs
Srivastava, A., Srivastava, R., Wang, J., et al. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.157401 · Cited by 88 · see citing works
Simulation of attosecond streaking of electrons emitted from a tungsten surface
Lemell, C., Solleder, B., Tőkési, K., & Burgdörfer, J. (2009) · Physical Review A · doi:10.1103/physreva.79.062901 · Cited by 87 · see citing works
Coherent phonon generation in time-dependent density functional theory
Shinohara, Y., Yabana, K., Kawashita, Y., et al. (2010) · Physical Review B · doi:10.1103/physrevb.82.155110 · Cited by 85 · see citing works
Self-citationGWself-energy calculations of carrier-induced band-gap narrowing inn-type silicon
Oschlies, A., Godby, R. W., & Needs, R. J. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.1527 · Cited by 83 · see citing works
Heavy doping effects in silicon
Overstraeten, R. J. V., & Mertens, R. (1987) · Solid-State Electronics · doi:10.1016/0038-1101(87)90070-0 · Cited by 79 · see citing works
Frequency comb generation at terahertz frequencies by coherent phonon excitation in silicon
Hase, M., Katsuragawa, M., Constantinescu, A. M., et al. (2012) · Nature Photonics · doi:10.1038/nphoton.2012.35 · Cited by 69 · see citing works
Demonstration of attosecond ionization dynamics inside transparent solids
Gertsvolf, M., Spanner, M., Rayner, D. M., & Corkum, P. B. (2010) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/43/13/131002 · Cited by 59 · see citing works
Ab initiocalculation of band-gap renormalization in highly excited GaAs
Spataru, C. D., Benedict, L. X., & Louie, S. G. (2004) · Physical Review B · doi:10.1103/physrevb.69.205204 · Cited by 54 · see citing works
First-principles calculation of the electron dynamics in crystalline SiO 2
Otobe, T., Yabana, K., & Iwata, J.-I. (2009) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/21/6/064224 · Cited by 52 · see citing works
Self-citationAtomic photoionization in combined intense XUV free-electron and infrared laser fields
Radcliffe, P., Arbeiter, M., Li, W. B., Düsterer, S., Redlin, H., Hayden, P., Hough, P., Richardson, V., Costello, J., Fennel, T., et al. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/4/043008 · Cited by 45 · see citing works
The robustness of attosecond streaking measurements
Gagnon, J., & Yakovlev, V. S. (2009) · Optics Express · doi:10.1364/oe.17.017678 · Cited by 44 · see citing works
Effective energy gap of semiconductors under irradiation with an ultrashort VUV laser pulse
Medvedev, N. A., & Rethfeld, B. (2009) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/88/55001 · Cited by 25 · see citing works
Arnaud, B., Lebègue∥, S., & Alouani, M. (2005) · Physical Review B · doi:10.1103/physrevb.71.035308 · Cited by 22 · see citing works
Time-resolved pump-probe spectroscopy to follow valence electronic motion in molecules: Theory
Dutoi, A. D., Gokhberg, K., & Cederbaum, L. S. (2013) · Physical Review A · doi:10.1103/physreva.88.013419 · Cited by 19 · see citing works
Beye, M., Hennies, F., Deppe, M., et al. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/4/043011 · Cited by 14 · see citing works
Visualising many-body electron dynamics using one-body densities and orbitals
Dutoi, A. D. (2013) · Molecular Physics · doi:10.1080/00268976.2013.845311 · Cited by 14 · see citing works
Goulielmakis, E., Schultze, M., Hofstetter, M., Yakovlev, V. S., Gagnon, J., Uiberacker, M., Aquila, A., Gullikson, E. M., Attwood, D. T., Kienberger, R., et al. (2008) · Science · doi:10.1126/science.1157846 · Cited by 7 · see citing works
Self-citationLifetime of quasi particles in Fermi system
Mattuck, R. D. (1964) · Physics Letters · doi:10.1016/0031-9163(64)90242-2 · Cited by 3 · see citing works
Ultrafast Scattering Times in Amorphous Silicon
Hulin, D., Mourchid, A., Vanderhaghen, R., et al. (1990) · Springer series in chemical physics · doi:10.1007/978-3-642-84269-6_85 · Cited by 2 · see citing works
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Li, J., Ren, X., Yin, Y., Zhao, K., Chew, A., Cheng, Y., Cunningham, E., Wang, Y., Hu, S., Wu, Y., et al. (2017) · Nature Communications · doi:10.1038/s41467-017-00321-0 · Cited by 463 · see citing works
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Pertot, Y., Schmidt, C., Matthews, M., Chauvet, A., Huppert, M., Svoboda, V., von Conta, A., Tehlar, A., Baykusheva, D., Wolf, J.-P., et al. (2017) · Science · doi:10.1126/science.aah6114 · Cited by 383 · see citing works
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Young, L., Ueda, K., Gühr, M., Bucksbaum, P. H., Simon, M., Mukamel, S., Rohringer, N., Prince, K. C., Masciovecchio, C., Meyer, M., et al. (2018) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/1361-6455/aa9735 · Cited by 337 · see citing works
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Self-citation
- Authors
- Schultze, M., Ramasesha, K., Pemmaraju, C. D., Sato, S. A., Whitmore, D., Gandman, A., Prell, J. S., Borja, L. J., Prendergast, D., Yabana, K., Neumark, D. M., & Leone, S. R.
- Affiliations
- Ludwig-Maximilians-Universität München (DE)
- University of California, Berkeley (US)
- Lawrence Berkeley National Laboratory (US)
- University of Tsukuba (JP)
- Corresponding author
- Schultze, Martin
- Ramasesha, Krupa
- Neumark, Daniel M.
- Leone, Stephen R.
- ORCID
- Venue
- Science
- Published
- 2014-12-12
- Volume
- 346
- Issue
- 6215
- Pages
- 1348-1352
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2086867887
- Cited by
- 553
- References
- 53
- Citations by year
- 2026: 25 · 2025: 43 · 2024: 41 · 2023: 42 · 2022: 43 · 2021: 54 · 2020: 52 · 2019: 55 · 2018: 65 · 2017: 59 · 2016: 52 · 2015: 20 · 2014: 2
- FWCI
- 21.97
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Science (publishedVersion)
- PubMed (publishedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- Funders
- Japan Society for the Promotion of Science (23340113, 14J01511, 25104702)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Laser-Matter Interactions and Applications
- Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Terahertz technology and applications
- Keywords
- attosecond dynamics, silicon, optical phonons, charge injection, electron tunneling, few-cycle pulses, quantum dynamical simulation
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