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Title: Hot phonon and carrier relaxation in Si(100) determined by transient extreme ultraviolet spectroscopy

Journal Article · · Structural Dynamics
DOI:https://doi.org/10.1063/1.5038015· OSTI ID:1506355
 [1];  [2];  [2];  [1];  [2];  [2];  [2];  [3]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Chemistry; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Chemical Sciences Division
  2. Univ. of California, Berkeley, CA (United States). Dept. of Chemistry
  3. Univ. of California, Berkeley, CA (United States). Dept. of Chemistry and Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Chemical Sciences Division

The thermalization of hot carriers and phonons gives direct insight into the scattering processes that mediate electrical and thermal transport. Obtaining the scattering rates for both hot carriers and phonons currently requires multiple measurements with incommensurate timescales. Here, transient extreme-ultraviolet (XUV) spectroscopy on the silicon 2p core level at 100 eV is used to measure hot carrier and phonon thermalization in Si(100) from tens of femtoseconds to 200 ps, following photoexcitation of the indirect transition to the Δ valley at 800 nm. The ground state XUV spectrum is first theoretically predicted using a combination of a single plasmon pole model and the Bethe-Salpeter equation with density functional theory. The excited state spectrum is predicted by incorporating the electronic effects of photo-induced state-filling, broadening, and band-gap renormalization into the ground state XUV spectrum. A time-dependent lattice deformation and expansion is also required to describe the excited state spectrum. The kinetics of these structural components match the kinetics of phonons excited from the electron-phonon and phonon-phonon scattering processes following photoexcitation. Finally, separating the contributions of electronic and structural effects on the transient XUV spectra allows the carrier population, the population of phonons involved in inter- and intra-valley electron-phonon scattering, and the population of phonons involved in phonon-phonon scattering to be quantified as a function of delay time.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Swiss National Science Foundation (SNSF); USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Solar Energy Technologies Office; Humboldt Foundation; Army Research Office (ARO); US Air Force Office of Scientific Research (AFOSR); Defense Advanced Research Projects Agency (DARPA)
Grant/Contract Number:
AC02-05CH11231; W31P4Q-13-1-0017
OSTI ID:
1506355
Alternate ID(s):
OSTI ID: 1469433
Journal Information:
Structural Dynamics, Vol. 5, Issue 5; ISSN 2329-7778
Publisher:
American Crystallographic Association/AIPCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 32 works
Citation information provided by
Web of Science

References (116)

Band-gap narrowing in heavily doped many-valley semiconductors journal August 1981
Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures book January 1999
Effects of high carrier densities on phonon and carrier lifetimes in Si by time-resolved anti-Stokes Raman scattering journal June 2007
Carrier Relaxation and Lattice Heating Dynamics in Silicon Revealed by Femtosecond Electron Diffraction journal December 2006
Many-pole model of inelastic losses in x-ray absorption spectra journal November 2007
Extended two-temperature model for ultrafast thermal response of band gap materials upon impulsive optical excitation journal November 2015
Momentum-Dependent Lifetime Broadening of Electron Energy Loss Spectra: A Self-Consistent Coupled-Plasmon Model journal January 2015
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Thermal Conductivity of Silicon from 300 to 1400°K journal June 1963
Deconvolution problems in x-ray absorption fine structure spectroscopy journal July 2001
Dielectric loss function of Si and SiO2 from quantitative analysis of REELS spectra journal July 1993
Ultrafast dynamics of laser-excited electron distributions in silicon journal February 1994
Electron Small Polarons and Their Mobility in Iron (Oxyhydr)oxide Nanoparticles journal September 2012
The birth of a quasiparticle in silicon observed in time–frequency space journal November 2003
The Electronic Contribution to the Elastic Properties of Germanium journal October 1961
Core-hole effects in the x-ray-absorption spectra of transition-metal silicides journal June 1990
Nanosecond resolution time-resolved x-ray study of silicon during pulsed-laser irradiation journal February 1986
Self-consistent optical parameters of intrinsic silicon at 300K including temperature coefficients journal November 2008
Photoexcited carrier diffusion near a Si(111) surface: Non-negligible consequence of carrier-carrier scattering journal December 1997
Influence of lattice heating time on femtosecond laser-induced strain waves in InSb journal November 2008
Surface generation and detection of phonons by picosecond light pulses journal September 1986
Effect of Carrier Concentration on the Raman Frequencies of Si and Ge journal February 1972
Probing the transition state region in catalytic CO oxidation on Ru journal February 2015
Transient electronic and magnetic structures of nickel heated by ultrafast laser pulses journal September 2009
Ultrafast carrier diffusion in gallium arsenide probed with picosecond acoustic pulses journal August 2001
Coherent Shear Phonon Generation and Detection with Ultrashort Optical Pulses journal August 2004
Electron–Phonon Interaction in n-Si journal January 1981
Relationships between strain and band structure in Si(001) and Si(110) nanomembranes journal September 2009
Excitation of longitudinal and transverse coherent acoustic phonons in nanometer free-standing films of (001) Si journal March 2009
Nonequilibrium optical properties in semiconductors from first principles: A combined theoretical and experimental study of bulk silicon journal May 2016
Bethe-Salpeter equation calculations of core excitation spectra journal March 2011
Ab initio calculation of phonon dispersions in semiconductors journal March 1991
X-ray absorption spectra: K-edges of 3d transition metals, L-edges of 3d and 4d metals, and M-edges of palladium journal May 1982
Selection rules for indirect transitions and effect of time reversal symmetry journal October 1973
Theory of optical spin orientation in silicon journal April 2011
Picosecond acoustic response of a laser-heated gold-film studied with time-resolved x-ray diffraction journal May 2011
Real-time observation of valence electron motion journal August 2010
Two-photon absorption and Kerr coefficients of silicon for 850–2200nm journal May 2007
Spatially-resolved X-ray Absorption Near-edge Spectroscopy of Silicon in Thin Silicon-oxide Films journal January 1990
Band gap renormalization and Burstein-Moss effect in silicon- and germanium-doped wurtzite GaN up to 10 20   cm 3 journal August 2014
Dynamical theory of the laser-induced lattice instability of silicon journal November 1992
Generation and detection of plane coherent shear picosecond acoustic pulses by lasers: Experiment and theory journal May 2007
Core Level Spectroscopy of Solids book January 2008
A semiclassical two-temperature model for ultrafast laser heating journal January 2006
Strained Si, Ge, and Si 1 x Ge x alloys modeled with a first-principles-optimized full-zone k p method journal November 2006
Photochemical Processes Revealed by X-ray Transient Absorption Spectroscopy journal November 2013
Improved quantitative description of Auger recombination in crystalline silicon journal October 2012
Dipole selection rules for optical transitions in the fcc and bcc lattices journal June 1980
Local screening of a core hole: A real-space approach applied to hafnium oxide journal October 2006
Picosecond transient orientational and concentration gratings in germanium journal April 1983
Electronic Dilation in Germanium and Silicon journal November 1969
Attosecond band-gap dynamics in silicon journal December 2014
New model dielectric function and exchange-correlation potential for semiconductors and insulators journal May 1982
Time-Resolved X-Ray Diffraction from Coherent Phonons during a Laser-Induced Phase Transition journal January 2000
Interference between extrinsic and intrinsic losses in x-ray absorption fine structure journal January 2002
Time dependence of the laser-induced femtosecond lattice instability of Si and GaAs: Role of longitudinal optical distortions journal March 1994
Characterization of vibrational wave packets by core-level high-harmonic transient absorption spectroscopy journal August 2013
Stress and thermal expansion of boron‐doped silicon membranes on silicon substrates journal July 1991
Thermal and nonthermal melting of silicon under femtosecond x-ray irradiation journal February 2015
Generation of dense electron-hole plasmas in silicon journal January 2000
Natural widths of atomic K and L levels, K α X‐ray lines and several K L L Auger lines journal April 1979
Photostriction effect in silicon observed by time-resolved x-ray diffraction journal November 1991
Self-energy in surface electron spectroscopy: I. Plasmons on a free-electron-material surface journal March 1998
Short-range deformation-potential interaction and its application to ultrafast processes in semiconductors journal March 1992
Band‐gap narrowing in heavily doped silicon: A comparison of optical and electrical data journal January 1988
Influence of Strain on the Conduction Band Structure of Strained Silicon Nanomembranes journal October 2008
Precise determination of lattice parameter and thermal expansion coefficient of silicon between 300 and 1500 K journal July 1984
Observation of Hot-Electron Pressure in the Vibration Dynamics of Metal Nanoparticles journal July 2000
Efficient implementation of core-excitation Bethe–Salpeter equation calculations journal December 2015
Momentum-dependent lifetime broadening of electron energy loss spectra: Sum rule constraints and an asymmetric rectangle toy model journal November 2014
Preablation electron and lattice dynamics on the silicon surface excited by a femtosecond laser pulse journal November 2015
Electron–phonon interaction in tetrahedral semiconductors journal January 2005
Multichannel multiple scattering calculation of L 2 , 3 -edge spectra of TiO 2 and SrTiO 3 : Importance of multiplet coupling and band structure journal March 2010
Ultra-fast carriers relaxation in bulk silicon following photo-excitation with a short and polarized laser pulse journal May 2015
Self-consistent aspects of x-ray absorption calculations journal August 2009
Ab initio calculation of thermodynamic properties of silicon journal November 1994
L 2 , 3 threshold spectra of doped silicon and silicon compounds journal May 1977
Electron-Phonon Coupling and Energy Flow in a Simple Metal beyond the Two-Temperature Approximation journal April 2016
Energy dissipation and transport in nanoscale devices journal March 2010
Role of the plasmon-pole model in the G W approximation journal September 2013
Rippled area formed by surface plasmon polaritons upon femtosecond laser double-pulse irradiation of silicon journal January 2013
Ab initio evidence for nonthermal characteristics in ultrafast laser melting journal November 2016
X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92 journal July 1993
GW self-energy calculations of carrier-induced band-gap narrowing in n -type silicon journal January 1995
Hot carrier solar cells: Principles, materials and design journal September 2010
Femtosecond pump-probe reflectivity study of silicon carrier dynamics journal October 2002
Full band structure calculation of two-photon indirect absorption in bulk silicon journal March 2011
Physical mechanisms of coherent acoustic phonons generation by ultrafast laser action journal February 2015
What is the Young's Modulus of Silicon? journal April 2010
Ultrafast Carrier Dynamics in Silicon: A Two-Color Transient Reflection Grating Study on a ( 111 ) Surface journal December 1998
Theory of the Band Structure of Very Degenerate Semiconductors journal April 1962
Effect of Free Carriers on Zone-Center Vibrational Modes in Heavily Doped p -type Si. II. Optical Modes journal November 1973
Electronically Driven Structure Changes of Si Captured by Femtosecond Electron Diffraction journal April 2008
Quasimomentum-Space Image for Ultrafast Melting of Silicon journal April 2016
Carrier-induced change in refractive index of InP, GaAs and InGaAsP journal January 1990
Electronic Volume Effect in Silicon journal June 1967
Suppression of driving laser in high harmonic generation with a microchannel plate journal January 2014
Bulk nanostructured thermoelectric materials: current research and future prospects journal January 2009
Intense few-cycle laser fields: Frontiers of nonlinear optics journal April 2000
Electron inelastic mean free path for Ti, TiC, TiN and TiO2 as determined by quantitative reflection electron energy-loss spectroscopy journal January 2002
Atomic and Electronic Structure of a Dissociated 60° Misfit Dislocation in Ge x Si ( 1 x ) journal November 1999
Signatures of nonthermal melting journal August 2015
Kinetics of high-density plasmas generated in Si by 1.06- and 0.53- μm picosecond laser pulses journal May 1987
Band gap narrowing due to many-body effects in silicon and gallium arsenide journal December 1984
Femtosecond Orientational Relaxation of Photoexcited Carriers in GaAs journal July 1984
Femtosecond Orientational Relaxation of Photoexcited Carriers in GaAs journal November 1984
Bethe-Salpeter Equation Calculations of Core Excitation Spectra text January 2010
Ultra--fast carriers relaxation in bulk silicon following photo--excitation with a short and polarized laser pulse preprint January 2014
Electron-phonon coupling and energy flow in a simple metal beyond the two-temperature approximation text January 2015
Efficient implementation of core-excitation Bethe Salpeter equation calculations text January 2016
Non equilibrium optical properties in semiconductors from first--principles: a combined theoretical and experimental study of bulk silicon text January 2016
Intrinsic coherent acoustic phonons in indirect band gap semiconductors Si and GaP text January 2016
Selection Rules for the Absorption of Polarized Electromagnetic Radiation by Mobile Electrons in Crystals journal July 1957
Deformation Potentials in Silicon. III. Effects of a General Strain on Conduction and Valence Levels journal November 1963
Strained Si, Ge and SiGe alloys modeling with full-zone k.p method optimized from first principle calculation preprint January 2006
Deconvolution problems in x-ray absorption fine structure text January 2001

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Figures / Tables (7)