Ultrafast nonequilibrium evolution of excitonic modes in semiconductors
Abstract
We study the time evolution of excitonic states after photoexcitation in the one-dimensional spinless extended Falicov-Kimball model. Several numerical methods are employed and benchmarked against each other: time-dependent mean-field simulations, the second-Born approximation (2BA) within the Kadanoff-Baym formalism, the generalized Kadanoff-Baym ansatz (GKBA) implemented with the 2BA, and the infinite time-evolving block decimation (iTEBD) method. It is found that the GKBA gives the best agreement with iTEBD and captures the relevant physics. Excitations to the particle-hole continuum and resonant excitations of the equilibrium exciton result in a qualitatively different dynamics. In the former case, the exciton binding energy remains positive and the frequency of the corresponding coherent oscillations is smaller than the band gap. On the other hand, resonant excitations trigger a collective mode whose frequency is larger than the band gap. We discuss the origin of these different behaviors by evaluating the nonequilibrium susceptibility using the nonthermal distribution and a random phase approximation. We note the peculiar mode with frequency larger than the band gap is associated with a partial population inversion with a sharp energy cutoff. We also discuss the effects of the cooling by a phonon bath. We demonstrate the real-time development of coherence in the polarization,more »
- Authors:
-
- Tokyo Institute of Technology (Japan); Univ. of Fribourg (Switzerland)
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
- Max Planck Inst. the Physics of Complex Systems, Dresden (Germany)
- Univ. of Fribourg (Switzerland)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE; European Research Council (ERC); Swiss National Science Foundation (SNF); Alexander von Humboldt Foundation
- OSTI Identifier:
- 1604932
- Report Number(s):
- arXiv:1907.06799v2
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US2104353
- Grant/Contract Number:
- AC02-76SF00515; 724103
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 3; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Murakami, Yuta, Schüler, Michael, Takayoshi, Shintaro, and Werner, Philipp. Ultrafast nonequilibrium evolution of excitonic modes in semiconductors. United States: N. p., 2020.
Web. doi:10.1103/physrevb.101.035203.
Murakami, Yuta, Schüler, Michael, Takayoshi, Shintaro, & Werner, Philipp. Ultrafast nonequilibrium evolution of excitonic modes in semiconductors. United States. https://doi.org/10.1103/physrevb.101.035203
Murakami, Yuta, Schüler, Michael, Takayoshi, Shintaro, and Werner, Philipp. Tue .
"Ultrafast nonequilibrium evolution of excitonic modes in semiconductors". United States. https://doi.org/10.1103/physrevb.101.035203. https://www.osti.gov/servlets/purl/1604932.
@article{osti_1604932,
title = {Ultrafast nonequilibrium evolution of excitonic modes in semiconductors},
author = {Murakami, Yuta and Schüler, Michael and Takayoshi, Shintaro and Werner, Philipp},
abstractNote = {We study the time evolution of excitonic states after photoexcitation in the one-dimensional spinless extended Falicov-Kimball model. Several numerical methods are employed and benchmarked against each other: time-dependent mean-field simulations, the second-Born approximation (2BA) within the Kadanoff-Baym formalism, the generalized Kadanoff-Baym ansatz (GKBA) implemented with the 2BA, and the infinite time-evolving block decimation (iTEBD) method. It is found that the GKBA gives the best agreement with iTEBD and captures the relevant physics. Excitations to the particle-hole continuum and resonant excitations of the equilibrium exciton result in a qualitatively different dynamics. In the former case, the exciton binding energy remains positive and the frequency of the corresponding coherent oscillations is smaller than the band gap. On the other hand, resonant excitations trigger a collective mode whose frequency is larger than the band gap. We discuss the origin of these different behaviors by evaluating the nonequilibrium susceptibility using the nonthermal distribution and a random phase approximation. We note the peculiar mode with frequency larger than the band gap is associated with a partial population inversion with a sharp energy cutoff. We also discuss the effects of the cooling by a phonon bath. We demonstrate the real-time development of coherence in the polarization, which indicates excitonic condensation out of equilibrium.},
doi = {10.1103/physrevb.101.035203},
journal = {Physical Review B},
number = 3,
volume = 101,
place = {United States},
year = {Tue Jan 28 00:00:00 EST 2020},
month = {Tue Jan 28 00:00:00 EST 2020}
}
Web of Science
Works referenced in this record:
Exciton Band Structure in Two-Dimensional Materials
journal, February 2016
- Cudazzo, Pierluigi; Sponza, Lorenzo; Giorgetti, Christine
- Physical Review Letters, Vol. 116, Issue 6
Analytical approach to excitonic properties of MoS
journal, March 2014
- Berghäuser, Gunnar; Malic, Ermin
- Physical Review B, Vol. 89, Issue 12
Excitons in nanoscale systems
journal, September 2006
- Scholes, Gregory D.; Rumbles, Garry
- Nature Materials, Vol. 5, Issue 9
Photoinduced gap closure in an excitonic insulator
journal, July 2016
- Golež, Denis; Werner, Philipp; Eckstein, Martin
- Physical Review B, Vol. 94, Issue 3
Excitonic Insulator State in Probed by Photoemission Spectroscopy
journal, July 2009
- Wakisaka, Y.; Sudayama, T.; Takubo, K.
- Physical Review Letters, Vol. 103, Issue 2
Non-stationary excitonic-insulator states in photoexcited semiconductors
journal, June 1993
- �streich, Th.; Sch�nhammer, K.
- Zeitschrift f�r Physik B Condensed Matter, Vol. 91, Issue 2
Enhancement of superexchange pairing in the periodically driven Hubbard model
journal, August 2017
- Coulthard, J. R.; Clark, S. R.; Al-Assam, S.
- Physical Review B, Vol. 96, Issue 8
Exciton-Photon Strong-Coupling Regime for a Single Quantum Dot Embedded in a Microcavity
journal, August 2005
- Peter, E.; Senellart, P.; Martrou, D.
- Physical Review Letters, Vol. 95, Issue 6
High-harmonic generation in quantum spin systems
journal, May 2019
- Takayoshi, Shintaro; Murakami, Yuta; Werner, Philipp
- Physical Review B, Vol. 99, Issue 18
Ultrafast Charge Separation and Indirect Exciton Formation in a MoS 2 –MoSe 2 van der Waals Heterostructure
journal, November 2014
- Ceballos, Frank; Bellus, Matthew Z.; Chiu, Hsin-Ying
- ACS Nano, Vol. 8, Issue 12
Ab Initio Calculation of Excitonic Effects in the Optical Spectra of Semiconductors
journal, May 1998
- Albrecht, Stefan; Reining, Lucia; Del Sole, Rodolfo
- Physical Review Letters, Vol. 80, Issue 20
Nonequilibrium Quantum Condensation in an Incoherently Pumped Dissipative System
journal, June 2006
- Szymańska, M. H.; Keeling, J.; Littlewood, P. B.
- Physical Review Letters, Vol. 96, Issue 23
Real-time approach to the optical properties of solids and nanostructures: Time-dependent Bethe-Salpeter equation
journal, December 2011
- Attaccalite, C.; Grüning, M.; Marini, A.
- Physical Review B, Vol. 84, Issue 24
Valley-selective optical Stark effect in monolayer WS2
journal, December 2014
- Sie, Edbert J.; McIver, James W.; Lee, Yi-Hsien
- Nature Materials, Vol. 14, Issue 3
Organic Optoelectronic Materials: Mechanisms and Applications
journal, October 2016
- Ostroverkhova, Oksana
- Chemical Reviews, Vol. 116, Issue 22
Pump-driven normal-to-excitonic insulator transition: Josephson oscillations and signatures of BEC-BCS crossover in time-resolved ARPES
journal, December 2019
- Perfetto, E.; Sangalli, D.; Marini, A.
- Physical Review Materials, Vol. 3, Issue 12
Pulse excitation to continuous-wave excitation in a low-dimensional interacting quantum system
journal, September 2016
- Ono, Atsushi; Hashimoto, Hiroshi; Ishihara, Sumio
- Physical Review B, Vol. 94, Issue 11
2D materials and van der Waals heterostructures
journal, July 2016
- Novoselov, K. S.; Mishchenko, A.; Carvalho, A.
- Science, Vol. 353, Issue 6298
An ab-initio approach to describe coherent and non-coherent exciton dynamics
journal, August 2018
- Sangalli, Davide; Perfetto, Enrico; Stefanucci, Gianluca
- The European Physical Journal B, Vol. 91, Issue 8
Photo-induced semimetallic states realised in electron–hole coupled insulators
journal, October 2018
- Okazaki, Kozo; Ogawa, Yu; Suzuki, Takeshi
- Nature Communications, Vol. 9, Issue 1
Relaxation of Antiferromagnetic Order in Spin- Chains Following a Quantum Quench
journal, April 2009
- Barmettler, Peter; Punk, Matthias; Gritsev, Vladimir
- Physical Review Letters, Vol. 102, Issue 13
Nonequilibrium dynamics in the one-dimensional Fermi-Hubbard model: Comparison of the nonequilibrium Green-functions approach and the density matrix renormalization group method
journal, April 2017
- Schlünzen, N.; Joost, J. -P.; Heidrich-Meisner, F.
- Physical Review B, Vol. 95, Issue 16
Multiple amplitude modes in strongly coupled phonon-mediated superconductors
journal, March 2016
- Murakami, Yuta; Werner, Philipp; Tsuji, Naoto
- Physical Review B, Vol. 93, Issue 9
Zero-gap semiconductor to excitonic insulator transition in Ta2NiSe5
journal, February 2017
- Lu, Y. F.; Kono, H.; Larkin, T. I.
- Nature Communications, Vol. 8, Issue 1
First-principles approach to excitons in time-resolved and angle-resolved photoemission spectra
journal, December 2016
- Perfetto, E.; Sangalli, D.; Marini, A.
- Physical Review B, Vol. 94, Issue 24
Dynamic Stark effect in interacting electron-hole systems: Light-enhanced excitons
journal, November 1986
- Comte, C.; Mahler, G.
- Physical Review B, Vol. 34, Issue 10
Classical Simulation of Infinite-Size Quantum Lattice Systems in One Spatial Dimension
journal, February 2007
- Vidal, G.
- Physical Review Letters, Vol. 98, Issue 7
Charge-separation energy in films of π-conjugated organic molecules
journal, September 2000
- Hill, I. G.; Kahn, A.; Soos, Z. G.
- Chemical Physics Letters, Vol. 327, Issue 3-4
Transition Metal Chalcogenides: Ultrathin Inorganic Materials with Tunable Electronic Properties
journal, December 2014
- Heine, Thomas
- Accounts of Chemical Research, Vol. 48, Issue 1
Nonequilibrium Many-Body Theory of Quantum Systems
book, March 2013
- Stefanucci, Gianluca; van Leeuwen, Robert
Orthorhombic-to-monoclinic phase transition of Ta NiSe induced by the Bose-Einstein condensation of excitons
journal, January 2013
- Kaneko, T.; Toriyama, T.; Konishi, T.
- Physical Review B, Vol. 87, Issue 3
Two-photon absorption in two-dimensional materials: The case of hexagonal boron nitride
journal, October 2018
- Attaccalite, Claudio; Grüning, Myrta; Amara, Hakim
- Physical Review B, Vol. 98, Issue 16
Photoinduced Enhancement of Excitonic Order
journal, December 2017
- Murakami, Yuta; Golež, Denis; Eckstein, Martin
- Physical Review Letters, Vol. 119, Issue 24
Optical suppression of electron motion in low-dimensional correlated electron system
journal, February 2017
- Ono, Atsushi; Hashimoto, Hiroshi; Ishihara, Sumio
- Physical Review B, Vol. 95, Issue 8
Excitonic Insulator
journal, June 1967
- Jérome, D.; Rice, T. M.; Kohn, W.
- Physical Review, Vol. 158, Issue 2
Generalized Kadanoff-Baym ansatz for deriving quantum transport equations
journal, November 1986
- Lipavský, P.; Špička, V.; Velický, B.
- Physical Review B, Vol. 34, Issue 10
Cavity Control of Excitons in Two-Dimensional Materials
journal, May 2019
- Latini, Simone; Ronca, Enrico; De Giovannini, Umberto
- Nano Letters, Vol. 19, Issue 6
Semiconductor excitons in new light
journal, July 2006
- Koch, S. W.; Kira, M.; Khitrova, G.
- Nature Materials, Vol. 5, Issue 7
Charge Separation in Donor–C 60 Complexes with Real-Time Green Functions: The Importance of Nonlocal Correlations
journal, January 2018
- Boström, Emil Viñas; Mikkelsen, Anders; Verdozzi, Claudio
- Nano Letters, Vol. 18, Issue 2
Tightly Bound Excitons in Monolayer
journal, July 2014
- He, Keliang; Kumar, Nardeep; Zhao, Liang
- Physical Review Letters, Vol. 113, Issue 2
Quench dynamics and Hall response of interacting Chern insulators
journal, July 2019
- Schüler, Michael; Budich, Jan Carl; Werner, Philipp
- Physical Review B, Vol. 100, Issue 4
Strong Light-Matter Interactions in Heterostructures of Atomically Thin Films
journal, May 2013
- Britnell, L.; Ribeiro, R. M.; Eckmann, A.
- Science, Vol. 340, Issue 6138
Nonequilibrium dynamical mean-field theory and its applications
journal, June 2014
- Aoki, Hideo; Tsuji, Naoto; Eckstein, Martin
- Reviews of Modern Physics, Vol. 86, Issue 2
Collective Strong Light-Matter Coupling in Hierarchical Microcavity-Plasmon-Exciton Systems
journal, November 2018
- Bisht, Ankit; Cuadra, Jorge; Wersäll, Martin
- Nano Letters, Vol. 19, Issue 1
Evidence for an Excitonic Insulator Phase in
journal, October 2007
- Cercellier, H.; Monney, C.; Clerc, F.
- Physical Review Letters, Vol. 99, Issue 14
Two-dimensional atomic crystals
journal, July 2005
- Novoselov, K. S.; Jiang, D.; Schedin, F.
- Proceedings of the National Academy of Sciences, Vol. 102, Issue 30, p. 10451-10453
Ultrafast charge transfer in atomically thin MoS2/WS2 heterostructures
journal, August 2014
- Hong, Xiaoping; Kim, Jonghwan; Shi, Su-Fei
- Nature Nanotechnology, Vol. 9, Issue 9
Light-Driven Electron-Hole Bardeen-Cooper-Schrieffer-Like State in Bulk GaAs
journal, November 2019
- Murotani, Yuta; Kim, Changsu; Akiyama, Hidefumi
- Physical Review Letters, Vol. 123, Issue 19
Temporal decay of Néel order in the one-dimensional Fermi-Hubbard model
journal, May 2015
- Bauer, A.; Dorfner, F.; Heidrich-Meisner, F.
- Physical Review A, Vol. 91, Issue 5
Ultrafast Electronic Band Gap Control in an Excitonic Insulator
journal, August 2017
- Mor, Selene; Herzog, Marc; Golež, Denis
- Physical Review Letters, Vol. 119, Issue 8
Electron-Hole Excitations in Semiconductors and Insulators
journal, September 1998
- Rohlfing, Michael; Louie, Steven G.
- Physical Review Letters, Vol. 81, Issue 11
Quantum kinetics regime during and immediately after laser excitation of semiconductors
journal, August 1997
- Bar-Ad, S.; Chemla, D. S.
- Materials Science and Engineering: B, Vol. 48, Issue 1-2
Magnetization and phase transition induced by circularly polarized laser in quantum magnets
journal, August 2014
- Takayoshi, Shintaro; Aoki, Hideo; Oka, Takashi
- Physical Review B, Vol. 90, Issue 8
Nonequilibrium dynamics in the pump-probe spectroscopy of excitonic insulators
journal, December 2018
- Tanabe, Tetsuhiro; Sugimoto, Koudai; Ohta, Yukinori
- Physical Review B, Vol. 98, Issue 23
Single-layer MoS2 transistors
journal, January 2011
- Radisavljevic, B.; Radenovic, A.; Brivio, J.
- Nature Nanotechnology, Vol. 6, Issue 3, p. 147-150
Beyond the quasiparticle approximation: Fully self-consistent calculations
journal, October 2018
- Grumet, Manuel; Liu, Peitao; Kaltak, Merzuk
- Physical Review B, Vol. 98, Issue 15
Coherent ultrafast charge transfer in an organic photovoltaic blend
journal, May 2014
- Falke, S. M.; Rozzi, C. A.; Brida, D.
- Science, Vol. 344, Issue 6187
Time-domain classification of charge-density-wave insulators
journal, January 2012
- Hellmann, S.; Rohwer, T.; Kalläne, M.
- Nature Communications, Vol. 3, Issue 1
Photoinduced enhancement of excitonic order in the two-orbital Hubbard model
journal, March 2018
- Tanaka, Yasuhiro; Daira, Manabu; Yonemitsu, Kenji
- Physical Review B, Vol. 97, Issue 11
Exciton–LO-Phonon Quantum Kinetics: Evidence of Memory Effects in Bulk GaAs
journal, September 1995
- Bányai, L.; Thoai, D. B. Tran; Reitsamer, E.
- Physical Review Letters, Vol. 75, Issue 11
Damping of the collective amplitude mode in superconductors with strong electron-phonon coupling
journal, September 2016
- Murakami, Yuta; Werner, Philipp; Tsuji, Naoto
- Physical Review B, Vol. 94, Issue 11