AC/DC for terahertz waves - rectification in picosecond cycle

Researchers at the Max Born Institute in Berlin are discovering an ultrafast rectifier for terahertz radiation. In the unit cells of a lithium niobate crystal, ac currents are converted to direct current at a frequency 1000 times that of modern computer systems, and at the same time a series of terahertz harmonic waves is generated

When guitarist Angus Young of the Australian band AC / DC plucks the strings of his electric guitar, a very distorted rocking sound is created in the loudspeaker. The cause of the electronically generated harmonics is the rectifier effect in the electron tubes of the guitar amplifier. In the simplest case, an alternating current [(A) alternating (C )urrent] produces a direct current [(D) irect (C )urrent], an effect which finds technical application in telecommunications at much higher radio or mobile phone frequencies. Physically very interesting is the question up to which cut-off frequencies one can generate directed direct currents in solid materials and which mechanisms are behind them.

Fig. 1 Experiment: The high electric field of a terahertz pulse accelerates the electrons in a lithium niobate (LiNbO3) crystal. The hexagonal unit cell contains lithium atoms (green spheres), niobium atoms (blue spheres), and oxygen atoms (red spheres) located around the corners of an octahedron around the niobium atoms. The crystal has no inversion symmetry and therefore a ferroelectric polarization along the c-axis.

For the generation of DC from alternating currents, the material used must have a preferred direction. This condition is met by ferroelectric crystals in which the spatial separation of positive and negative ions is associated with electrical polarization. Most ferroelectrics are electrical insulators, i. with small externally applied electric fields almost no electric current flows through them. This behavior changes drastically when you apply a very strong electric field in the range of several 100,000 volts per centimeter for a short time. At such field strengths, bound electrons, so-called valence electrons, can be made freely movable for a short time by means of a quantum-mechanical tunneling process and therefore lead to a current through the crystal.

Fig. 2 When transporting electrons along the c-axis, they have to overcome alternating distances between lithium and niobium atoms. The niobium atoms in turn are not in the center of the oxygen octahedron. Both lead to asymmetric barriers (see Movie), which can only overcome the electrons by means of the quantum mechanical tunneling process. Very high alternating electric fields (AC) drive the electrons through the tunnel barriers. The asymmetry of the barriers along with decoherence lead to a spatially asymmetric transport, i. on a sub-nanometer length scale, the terahertz field causes a direct current (DC) in the LiNbO3 crystal.

The properties of such a current were first investigated by researchers at the Max Born Institute in Berlin, about which they report in the current issue of the journal Physical Review Letters 112.146602. In the form of ultrashort intense terahertz pulses (1 terahertz = 1012 Hz, duration of field vibration 1 picosecond = 10-12 seconds), an AC field was applied to a thin crystal of lithium niobate (LiNbO3), which generates an electrical current in the material , The properties of this current were determined by measuring and analyzing the field it radiated. In addition to an oscillating current that had the frequency of the applied terahertz field (2 THz) and many of them, the researchers also saw the signature of a rectified (DC) current along the ferroelectric preferred direction of the LiNbO3 crystal.

Asymmetric tunneling probability due to an asymmetric barrier in the presence of decoherence processes: The tunnel barrier (black curves) passes more electrons from right to left than in the opposite direction. A wave packet (red curves) is largely reflected at the barrier. Only a small part (marked by red diamonds) can tunnel through the barrier quantum mechanically. Its size depends on the traversal direction in the case of decoherence. For comparison, the dashed blue curves show the motion of wave packets in the absence of the tunnel barriers.

The rectified current along the ferroelectric axis has its origin in the interaction of quantum mechanical tunneling between the valence and various conduction bands of the LiNbO3 crystal and the deceleration of the electrons by friction processes. The tunneling process generates freely moving electrons that would oscillate spatially and temporally without friction in time with the applied terahertz field. Friction destroys this vibratory motion, a process called decoherence. Since the tunnel barrier of LiNbO3 is asymmetric along the ferroelectric axis, decoherence results in spatially asymmetric transport, i. The tunnel barrier allows more electrons from right to left than in the opposite direction. This mechanism is within a unit cell of the crystal, i. on a sub-nanometer length scale and causes the rectification of the terahertz field. The effect can be exploited even at even higher frequencies resulting in interesting applications in the highest frequency electronics.

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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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