Ultrafast nonequilibrium evolution of excitonic modes in semiconductors

Murakami, Yuta; Schüler, Michael; Takayoshi, Shintaro; Werner, Philipp

doi:10.1103/physrevb.101.035203

Title: Ultrafast nonequilibrium evolution of excitonic modes in semiconductors

Journal Article · Tue Jan 28 00:00:00 EST 2020 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.101.035203· OSTI ID:1604932

Murakami, Yuta ^[1]; Schüler, Michael ^[2]; Takayoshi, Shintaro ^[3]; Werner, Philipp ^[4]

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)

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.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE; European Research Council (ERC); Swiss National Science Foundation (SNF); Alexander von Humboldt Foundation

Grant/Contract Number:: AC02-76SF00515; 724103

OSTI ID:: 1604932

Report Number(s):: arXiv:1907.06799v2; PRBMDO; TRN: US2104353

Journal Information:: Physical Review B, Vol. 101, Issue 3; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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