Even-order high-harmonic generation from solids in velocity gauge

Jiayuan Cao; Na Li; Ya Bai; Peng Liu; Ruxin Li

doi:doi:10.3788/COL202119.043201

Chinese Optics Letters, 2021, 19 (4): 043201, Published Online: Feb. 4, 2021

Even-order high-harmonic generation from solids in velocity gauge Download： 875次

Jiayuan Cao ^1,2Na Li ¹Ya Bai ^1,*Peng Liu ^1,2,**Ruxin Li ¹

Author Affiliations

¹ State Key Laboratory of High Field Laser Physics and CAS Center for Excellence in Ultra-Intense Laser Science, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

² Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

Figures & Tables

Fig. 1. (a) Periodic potential used for the calculation. Each crystal lattice includes three different atomic centers, namely, A, B, and C. (b) The corresponding band structure (first five bands). Band indices are shown on the right. The gray dashed line indicates the Fermi level.

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Fig. 2. (a) Calculated high-harmonic spectrum. (b) The JDoS of the system.

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Fig. 3. Comparison between the harmonic spectra obtained by allowing (blue line) and forbidding (red line) multiple-band transitions. Initial electron state and laser parameters are the same as in Fig. 2(a).

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Fig. 4. Comparison of high-harmonic spectra calculated with (blue line) and without (pink line) transitions involving band 1.

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Fig. 5. Laser field dependence of the high harmonics. (a) Calculated high-harmonic spectra between the 5th and 18th harmonic order. (b) The even/odd ratio of the 6th–14th harmonics. Red solid line shows the averaged ratio.

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Fig. 6. Schematic diagram of the (a) direct transition and (b) sequential transition processes. Number and letters on the right of (a) are band indices.

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Fig. 7. Comparison between the hole population in band 1 and the averaged ratio between even- and odd-order harmonics as functions of laser field strength.

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Jiayuan Cao, Na Li, Ya Bai, Peng Liu, Ruxin Li. Even-order high-harmonic generation from solids in velocity gauge[J]. Chinese Optics Letters, 2021, 19(4): 043201.

Even-order high-harmonic generation from solids in velocity gauge Download： 875次

Fig. 1. (a) Periodic potential used for the calculation. Each crystal lattice includes three different atomic centers, namely, A, B, and C. (b) The corresponding band structure (first five bands). Band indices are shown on the right. The gray dashed line indicates the Fermi level.

Fig. 2. (a) Calculated high-harmonic spectrum. (b) The JDoS of the system.

Fig. 3. Comparison between the harmonic spectra obtained by allowing (blue line) and forbidding (red line) multiple-band transitions. Initial electron state and laser parameters are the same as in Fig. 2(a).

Fig. 4. Comparison of high-harmonic spectra calculated with (blue line) and without (pink line) transitions involving band 1.

Fig. 5. Laser field dependence of the high harmonics. (a) Calculated high-harmonic spectra between the 5th and 18th harmonic order. (b) The even/odd ratio of the 6th–14th harmonics. Red solid line shows the averaged ratio.

Fig. 6. Schematic diagram of the (a) direct transition and (b) sequential transition processes. Number and letters on the right of (a) are band indices.

Fig. 7. Comparison between the hole population in band 1 and the averaged ratio between even- and odd-order harmonics as functions of laser field strength.

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Even-order high-harmonic generation from solids in velocity gauge Download： 875次

Fig. 1. (a) Periodic potential used for the calculation. Each crystal lattice includes three different atomic centers, namely, A, B, and C. (b) The corresponding band structure (first five bands). Band indices are shown on the right. The gray dashed line indicates the Fermi level.

Fig. 2. (a) Calculated high-harmonic spectrum. (b) The JDoS of the system.

Fig. 3. Comparison between the harmonic spectra obtained by allowing (blue line) and forbidding (red line) multiple-band transitions. Initial electron state and laser parameters are the same as in Fig. 2(a).

Fig. 4. Comparison of high-harmonic spectra calculated with (blue line) and without (pink line) transitions involving band 1.

Fig. 5. Laser field dependence of the high harmonics. (a) Calculated high-harmonic spectra between the 5th and 18th harmonic order. (b) The even/odd ratio of the 6th–14th harmonics. Red solid line shows the averaged ratio.

Fig. 6. Schematic diagram of the (a) direct transition and (b) sequential transition processes. Number and letters on the right of (a) are band indices.

Fig. 7. Comparison between the hole population in band 1 and the averaged ratio between even- and odd-order harmonics as functions of laser field strength.

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