Role of the Transition Dipole Amplitude and Phase on the Generation of Odd and Even High-Order Harmonics in Crystals

Jiang, Shicheng; Chen, Jigen; Wei, Hui; Yu, Chao; Lu, Ruifeng; Lin, C.  D.

doi:10.1103/physrevlett.120.253201

Title: Role of the Transition Dipole Amplitude and Phase on the Generation of Odd and Even High-Order Harmonics in Crystals

Journal Article · Mon Jun 18 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.120.253201· OSTI ID:1541327

Jiang, Shicheng ^[1]; Chen, Jigen ^[2]; Wei, Hui ^[3]; Yu, Chao ^[4]; Lu, Ruifeng ^[5]; Lin, C. D. ^[3]

Nanjing Univ. of Science and Technology (China). Dept. of Applied Physics; Kansas State Univ., Manhattan, KS (United States). J. R. Macdonald Lab. Dept. of Physics
Kansas State Univ., Manhattan, KS (United States). J. R. Macdonald Lab. Dept. of Physics; Taizhou Univ. (China). Dept. of Physics
Kansas State Univ., Manhattan, KS (United States). J. R. Macdonald Lab. Dept. of Physics
Nanjing Univ. of Science and Technology (China). Dept. of Applied Physics
Nanjing Univ. of Science and Technology (China). Dept. of Applied Physics; Chinese Academy of Sciences (CAS), Dalian (China). State Key Lab. of Molecular Reaction Dynamics. Dalian Inst. of Chemical Physics

Since the first observation of odd and even high-order harmonics generated from ZnO crystals in 2011, the dependence of the harmonic yields on the orientation of the laser polarization with respect to the crystal axis has never been properly interpreted. This failure has been traced to the lack of a correct account of the phase of the transition dipole moment between the valence band and the conduction band. Using a simple one-dimensional two-band model, here we demonstrate that the observed odd harmonics is directly related to the orientation dependence of the magnitude of the transition dipole, while even harmonics is directly related to the phase of the transition dipole. Our result points out the essential role of the complex transition dipole moment in understanding harmonic generation from solids that has long been overlooked so far.

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Research Organization:: Kansas State Univ., Manhattan, KS (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-86ER13491

OSTI ID:: 1541327

Alternate ID(s):: OSTI ID: 1454645

Journal Information:: Physical Review Letters, Vol. 120, Issue 25; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 140 works

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References (38)

Strong optical field ionisation of solids McDonald, C. R.; Taher, A. Ben; Brabec, T. Journal of Optics, Vol. 19, Issue 11 https://doi.org/10.1088/2040-8986/aa8e5b	journal	October 2017
Ab initio multiscale simulation of high-order harmonic generation in solids Floss, Isabella; Lemell, Christoph; Wachter, Georg Physical Review A, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevA.97.011401	journal	January 2018
Linking high harmonics from gases and solids Vampa, G.; Hammond, T. J.; Thiré, N. Nature, Vol. 522, Issue 7557 https://doi.org/10.1038/nature14517	journal	June 2015
Observation of high-order harmonic generation in a bulk crystal Ghimire, Shambhu; DiChiara, Anthony D.; Sistrunk, Emily Nature Physics, Vol. 7, Issue 2 https://doi.org/10.1038/nphys1847	journal	December 2010
Extreme ultraviolet high-harmonic spectroscopy of solids Luu, T. T.; Garg, M.; Kruchinin, S. Yu. Nature, Vol. 521, Issue 7553 https://doi.org/10.1038/nature14456	journal	May 2015
Real-time observation of interfering crystal electrons in high-harmonic generation Hohenleutner, M.; Langer, F.; Schubert, O. Nature, Vol. 523, Issue 7562 https://doi.org/10.1038/nature14652	journal	July 2015
Anisotropic high-harmonic generation in bulk crystals You, Yong Sing; Reis, David A.; Ghimire, Shambhu Nature Physics, Vol. 13, Issue 4 https://doi.org/10.1038/nphys3955	journal	November 2016
High-harmonic generation in graphene enhanced by elliptically polarized light excitation Yoshikawa, Naotaka; Tamaya, Tomohiro; Tanaka, Koichiro Science, Vol. 356, Issue 6339 https://doi.org/10.1126/science.aam8861	journal	May 2017
Effect of transition dipole phase on high-order-harmonic generation in solid materials Jiang, Shicheng; Wei, Hui; Chen, Jigen Physical Review A, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevA.96.053850	journal	November 2017
Strong-field and attosecond physics in solids Ghimire, Shambhu; Ndabashimiye, Georges; DiChiara, Anthony D. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 47, Issue 20 https://doi.org/10.1088/0953-4075/47/20/204030	journal	October 2014
High harmonic generation in ZnO with a high-power mid-IR OPA Gholam-Mirzaei, Shima; Beetar, John; Chini, Michael Applied Physics Letters, Vol. 110, Issue 6 https://doi.org/10.1063/1.4975362	journal	February 2017
Semiempirical tight-binding band structures of wurtzite semiconductors: AlN, CdS, CdSe, ZnS, and ZnO Kobayashi, Akiko; Sankey, Otto F.; Volz, Stephen M. Physical Review B, Vol. 28, Issue 2 https://doi.org/10.1103/PhysRevB.28.935	journal	July 1983
Nonperturbative harmonic generation in graphene from intense midinfrared pulsed light Taucer, M.; Hammond, T. J.; Corkum, P. B. Physical Review B, Vol. 96, Issue 19 https://doi.org/10.1103/PhysRevB.96.195420	journal	November 2017
Symmetry-controlled temporal structure of high-harmonic carrier fields from a bulk crystal Langer, F.; Hohenleutner, M.; Huttner, U. Nature Photonics, Vol. 11, Issue 4 https://doi.org/10.1038/nphoton.2017.29	journal	March 2017
Solid-state harmonics beyond the atomic limit Ndabashimiye, Georges; Ghimire, Shambhu; Wu, Mengxi Nature, Vol. 534, Issue 7608 https://doi.org/10.1038/nature17660	journal	June 2016
The roles of photo-carrier doping and driving wavelength in high harmonic generation from a semiconductor Wang, Zhou; Park, Hyunwook; Lai, Yu Hang Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01899-1	journal	November 2017
Mapping the electron band structure by intraband high-harmonic generation in solids Lanin, A. A.; Stepanov, E. A.; Fedotov, A. B. Optica, Vol. 4, Issue 5 https://doi.org/10.1364/OPTICA.4.000516	journal	January 2017
Multi-petahertz electronic metrology Garg, M.; Zhan, M.; Luu, T. T. Nature, Vol. 538, Issue 7625 https://doi.org/10.1038/nature19821	journal	October 2016
High-harmonic generation in amorphous solids You, Yong Sing; Yin, Yanchun; Wu, Yi Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00989-4	journal	September 2017
All-Optical Reconstruction of Crystal Band Structure Vampa, G.; Hammond, T. J.; Thiré, N. Physical Review Letters, Vol. 115, Issue 19 https://doi.org/10.1103/PhysRevLett.115.193603	journal	November 2015
Wannier-Bloch Approach to Localization in High-Harmonics Generation in Solids Osika, Edyta N.; Chacón, Alexis; Ortmann, Lisa Physical Review X, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevX.7.021017	journal	May 2017
High-harmonic generation from an atomically thin semiconductor Liu, Hanzhe; Li, Yilei; You, Yong Sing Nature Physics, Vol. 13, Issue 3 https://doi.org/10.1038/nphys3946	journal	November 2016
Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations Schubert, O.; Hohenleutner, M.; Langer, F. Nature Photonics, Vol. 8, Issue 2 https://doi.org/10.1038/nphoton.2013.349	journal	January 2014
Lightwave-driven quasiparticle collisions on a subcycle timescale Langer, F.; Hohenleutner, M.; Schmid, C. P. Nature, Vol. 533, Issue 7602 https://doi.org/10.1038/nature17958	journal	May 2016
Laser waveform control of extreme ultraviolet high harmonics from solids You, Yong Sing; Wu, Mengxi; Yin, Yanchun Optics Letters, Vol. 42, Issue 9 https://doi.org/10.1364/OL.42.001816	journal	January 2017
High-order harmonic generation in solids: A unifying approach Luu, Tran Trung; Wörner, Hans Jakob Physical Review B, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevB.94.115164	journal	September 2016
Effect of elliptical polarization of driving field on high-order-harmonic generation in semiconductor ZnO Liu, Candong; Zheng, Yinghui; Zeng, Zhinan Physical Review A, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevA.93.043806	journal	April 2016
Quantitative rescattering theory for high-order harmonic generation from molecules Le, Anh-Thu; Lucchese, R. R.; Tonzani, S. Physical Review A, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevA.80.013401	journal	July 2009
Accurate Retrieval of Structural Information from Laser-Induced Photoelectron and High-Order Harmonic Spectra by Few-Cycle Laser Pulses Morishita, Toru; Le, Anh-Thu; Chen, Zhangjin Physical Review Letters, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevLett.100.013903	journal	January 2008
Symmetry-controlled temporal structure of high-harmonic carrier fields from a bulk crystal Langer, Fabian; Hohenleutner, Matthias; Huttner, U. Universität Regensburg https://doi.org/10.5283/epub.36820	text	January 2017
Real-time Observation of interfering Crystal electroncs in high-harmonic Generation Hohenleutner, Matthias; Langer, Fabian; Schubert, Olaf Universität Regensburg https://doi.org/10.5283/epub.32411	text	January 2015
Lightwave-driven quasiparticle collisions on a subcycle timescale Langer, Fabian; Hohenleutner, Matthias; Schmid, Christoph P. Universität Regensburg https://doi.org/10.5283/epub.33784	text	January 2016
Symmetry-controlled temporal structure of high-harmonic carrier fields from a bulk crystal Langer, Fabian; Hohenleutner, Matthias; Huttner, U. Universität Regensburg https://doi.org/10.5283/epub.35389	text	January 2017
High-order harmonic generation in solids: A unifying approach Luu, Tran Trung; Wörner, Hans Jakob ETH Zurich https://doi.org/10.3929/ethz-a-010890604	text	January 2016
Accurate retrieval of structural information from laser-induced photoelectron and high-harmonic spectra by few-cycle laser pulses Morishita, Toru; Le, Anh-Thu; Chen, Zhangjin arXiv https://doi.org/10.48550/arxiv.0707.3157	text	January 2007
Quantitative Rescattering Theory for high-order harmonic generation from molecules Le, Anh-Thu; Lucchese, R. R.; Tonzani, S. arXiv https://doi.org/10.48550/arxiv.0903.5354	text	January 2009
Wannier-Bloch approach to localization in high harmonics generation in solids Osika, Edyta N.; Chacón, Alexis; Ortmann, Lisa arXiv https://doi.org/10.48550/arxiv.1607.07622	text	January 2016
Ab-initio multi-scale simulation of high-harmonic generation in solids Floss, Isabella; Lemell, Christoph; Wachter, Georg arXiv https://doi.org/10.48550/arxiv.1705.10707	text	January 2017

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Reciprocal-space-trajectory perspective on high harmonic generation in solids Li, Liang; Lan, Pengfei; Zhu, Xiaosong arXiv https://doi.org/10.48550/arxiv.1809.08109	text	January 2018
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