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Title: 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 » which indicates excitonic condensation out of equilibrium.« less

Authors:
 [1];  [2];  [3];  [4]
  1. Tokyo Institute of Technology (Japan); Univ. of Fribourg (Switzerland)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
  3. Max Planck Inst. the Physics of Complex Systems, Dresden (Germany)
  4. Univ. of Fribourg (Switzerland)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., 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
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. https://doi.org/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 = {2020},
month = {1}
}

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