Electrons and lattice vibrations - a strong team in the nanocosmos

The semiconductor electronics are based on the generation, control and amplification of electrical currents in components such as the transistor. Carriers of the electric current are free-moving electrons, which travel at high speed through the crystal lattice of the semiconductor. In doing so, they lose part of their kinetic energy by causing the atoms of the crystal lattice to vibrate. In semiconductors such as gallium arsenide, the positively and negatively charged ions of the crystal lattice are deflected and oscillate with an extremely short period of 100 fs (1 fs = 10-15 s = 1 billionth of a millionth of a second). In the microcosm of electrons and ions, the vibrational motion is quantized. This means that the energy of this oscillation can only be an integer multiple of a vibrational quantum, a so-called phonon. In the interaction of an electron with the crystal lattice, the so-called electron-phonon interaction, energy packets are transmitted in the form of individual vibrational quanta.

As Berlin researchers report in the latest issue of the journal Physical Review Letters, the strength of the electron-phonon interaction is sensitive to the size of the electron, i. from the spatial extent of its charge cloud. Experiments in the time domain of the phonon oscillation period show that for a reduced extension of the electron cloud an up to 50-fold enhanced interaction occurs. As a result, the movements of the electrons and the ions can be so strongly coupled to each other that the individual movements are no longer recognizable. Electron and phonon form a new quasiparticle, a polaron.

To visualize this phenomenon, scientists used nanostructures of gallium arsenide and gallium aluminum arsenide in which the energies of the electrons and ion motion were matched. The coupling of the movements was made visible with a new optical process. The system is excited by several ultrashort pulses of light in the infrared and the light field emitted by the moving charges is measured in real time. The measurements yield so-called two-dimensional non-linear spectra (see Fig.), In which coupled optical transitions appear separated and from which the coupling strength between electrons and phonons can be derived. The evaluation of the measured data results in the extension of the electron charge cloud, which is only 3-4 nanometers (1 nanometer = 10-9 m = 1 billionth of a meter). In addition, the new method demonstrates for the first time the strong influence of the electron-phonon coupling on the optical spectra of the semiconductor. This offers interesting perspectives for the development of optoelectronic devices with tailored optical and electrical properties.

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Publications since 2025

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A1-P-2025.01
Melting, bubblelike expansion, and explosion of superheated plasmonic nanoparticles

S. Dold, T. Reichenbach, A. Colombo, J. Jordan, I. Barke, P. Behrens, N. Bernhardt, J. Correa, S. Düsterer, B. Erk, T. Fennel, L. Hecht, A. Heilrath, R. Irsig, N. Iwe, P. Kolb, B. Kruse, B. Langbehn, B. Manschwetus, P. Marienhagen, F. Martinez, K.-H. Meiwes-Broer, K. Oldenburg, C. Passow, C. Peltz, M. Sauppe, F. Seel, R. M. P. Tanyag, R. Treusch, A. Ulmer, S. Walz, M. Moseler, T. Möller, D. Rupp, B. v. Issendorff

Physical review letters 134 (2025) 136101/1-7

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A3-P-2025.01
Second-harmonic generation in OP-GaAs0.75P0.25 heteroepitaxially grown from the vapor phase

L. Wang, S. R. Vangala, S. Popien, M. Beutler, J. M. Mann, V. L. Tassev, E. Büttner, V. Petrov

CrystEngComm 27 (2025) 1373-1376

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A3-P-2025.02
Diode-pumped Kerr-lens mode-locked Yb:MgWO4 laser

H.-Y. Nie, Z.-L. Lin, P. Loiko, H.-J. Zeng, L. Zhang, Z. Lin, G. Z. Elabedine, X. Mateos, V. Petrov, G. Zhang, W. Chen

Optics Letters 50 (2025) 1049-1052

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A3-P-2025.03
Growth, anisotropy, and spectroscopy of Tm3+ and Yb3+ doped MgWO4 crystals

G. Z. Elabedine, R. M. Solé, S. Slimi, M. Aguiló, F. Díaz, W. Chen, V. Petrov, X. Mateos

CrystEngComm 27 (2025) 1619-1631

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A3-P-2025.04
Growth, structure, spectroscopic, and laser properties of Ho-doped yttrium gallium garnet crystal

S. Slimi, H. Yu, H. Zhang, C. Kränkel, P. Loiko, R. M. Solé, M. Aguiló, F. Díaz, W. Chen, U. Griebner, V. Petrov, X. Mateos

Optics Express 33 (2025) 2529-2541

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A3-P-2025.05
Growth, spectroscopy and laser operation of disordered Tm,Ho:NaGd (MoO4)2 crystal

G. Z. Elabedine, Z. Pan, P. Loiko, H. Chu, D. Li, K. Eremeev, K. Subbotin, S. Pavlov, P. Camy, A. Braud, S. Slimi, R. M. Solé, M. Aguiló, F. Díaz, W. Chen, U. Griebner, V. Petrov, X. Mateos

Journal of Alloys and Compounds 1020 (2025) 179211/1-12

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A3-P-2025.06
Kerr-lens mode-locked, diode-pumped Yb,Gd:YAP laser generating 23 fs pulses

H.-Y. Nie, P. Zhang, P. Loiko, Z.-L. Lin, H.-J. Zeng, G. Zhang, Z. Li, X. Mateos, H.-C. Liang, V. Petrov, Z. Chen, W. Chen

Optics Express 33 (2025) 11793-11799

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A3-P-2025.07
Nanoindentation and laser-induced optical damage tests of CdSe nonlinear crystals

G. Exner, A. Carpenter, K. Cissner, A. Hildenbrand-Dhollande, S. Schmitt, A. Grigorov, M. Piotrowski, S. Guha, V. Petrov

Journal of the Optical Society of America B 42 (2025) A10-A14

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A3-P-2025.08
Phase-matching properties of AgGa(Se1-xTex)2 for SHG of a CO2 laser

K. Kato, V. Petrov, K. Miyata

Proceedings of SPIE 13347 (2025) 133470S/1-4

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A3-P-2025.09
Phase-matching properties of ZnSiAs2 in the mid-IR

T. Okamoto, N. Umemura, K. Kato, V. Petrov

Proceedings of SPIE 13347 (2025) 133470C/1-5

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A3-P-2025.10
Direct generation of 3.5 optical-cycle pulses from a rare-earth laser

N. Zhang, Y. Wang, H. Ding, F. Liang, Y. Zhao, J. Xu, H. Yu, H. Zhang, V. Petrov

Optics Letters 50 (2025) 3150-3153

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A3-P-2025.11
Power scaling of a non-resonant optical parametric oscillator based on periodically poled LiNbO3 with spectral narrowing

S. Das, T. Temel, G. Spindler, A. Schirrmacher, I. B. Divliansky, R. T. Murray, M. Piotrowski, L. Wang, W. Chen, O. Mhibik, V. Petrov

Optics Express 33 (2025) 5662-5669

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A3-P-2025.12
Sub-40-fs diode-pumped ytterbium-doped mixed rare-earth calcium oxoborate laser

H.-J. Zeng, Z.-L. Lin, H. Lin, P. Loiko, L. Zhang, Z. Lin, H.-C. Liang, X. Mateos, V. Petrov, G. Zhang, W. Chen

Optics Express 33 (2025) 17965-17975

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A3-P-2025.13
Spectroscopy and SESAM mode-locking of a disordered Yb:Gd2SrAl2O7 crystal

H.-J. Zeng, Z.-L. Lin, P. Loiko, F. Yuan, G. Zhang, Z. Lin, X. Mateos, V. Petrov, W. Chen

Optics Express 33 (2025) 15057-15066

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A3-P-2025.14
Watt-level, 1.6 ps χ(2)-lens mode-locking of an in-band pumped Nd:LuVO4 laser

H. Iliev, V. Aleksandrov, V. Petrov, L. S. Petrov, H. Zhang, H. Yu, I. Buchvarov

Optics Express 33 (2025) 17773-17781

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A3-P-2025.15
Refined phase-matching predictions for AgGa1-xInxS2 mixed chalcopyrite crystals

K. Kato, K. Miyata, V. Petrov

Journal of the Optical Society of America B 42 (2025) A6-A9

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A3-P-2025.16
35-fs diode-pumped mode-locked ytterbium-doped multi-component alkaline-earth fluoride laser

Z. Zhang, Z.-Q. Li, P. Loiko, H.-J. Zeng, G. Zhang, Z.-L. Lin, S. Normani, A. Braud, F. Ma, X. Mateos, H.-C. Liang, V. Petrov, D. Jiang, L. Su, W. Chen

Optics Letters 50 (2025) 1835-1838

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A3-P-2025.17
Diode-pumped few-optical-cycle laser based on an ytterbium-doped disordered strontium yttrium borate crystal

H. Zeng, Z. Lin, S. Sun, P. Loiko, H. Lin, G. Zhang, Z. Lin, C. Mou, X. Mateos, V. Petrov, W. Chen

Optics Letters 50 (2025) 2203-2206

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A3-P-2025.18
Refined Sellmeier and thermo-optic dispersion formulas for CdGeAs2

K. Kato, K. Miyata, V. Petrov

Journal of the Optical Society of America B 42 (2025) A24-A28

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A3-P-2025.19
Diode-pumped mode-locked Yb:Ca3La2(BO3)4 laser generating 35 fs pulses

H.-J. Zeng, Z.-L. Lin, G. Zhang, Z. Pan, P. Loiko, X. Mateos, V. Petrov, H. Lin, W. Chen

Optics Express 33 (2025) 22988-22996

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