Influence of vacancy defects in solid high-order harmonic generation

The present work discusses the impact of vacancy defects in solid high-order harmonic generation. The total energy cutoff of the high-order harmonic spectrum increases as a function of concentration of vacancy defects, and the total spectrum gradually turns into a single slanted spectrum without having an abrupt transition between primary and secondary plateaus. The spectral intensity of the below-band-gap harmonics in a solid with vacancy defects is enhanced significantly in comparison to the harmonics in a pristine solid. The changes in the harmonic spectra are understood in terms of their effective band structures. The presence of vacancy defects breaks the translational symmetry of the unit cell locally. As a consequence of this, new defect states appear, which open additional paths for the electron dynamics. The ill-resolved electron trajectories in the Gabor profile confirm the interference of additional paths. Moreover, the single slanted high-order harmonic spectrum carries a unique signature of vacancy defects in comparison to the high-order harmonic spectrum corresponding to solids with defects such as underdoping or overdoping.

[1]  K. Ishikawa,et al.  Trajectory analysis of high-order-harmonic generation from periodic crystals , 2016, 1611.08033.

[2]  Kenneth J. Schafer,et al.  High-harmonic generation from Bloch electrons in solids , 2015, 1502.07183.

[3]  Kenneth J. Schafer,et al.  Solid-state harmonics beyond the atomic limit , 2016, Nature.

[4]  L. Madsen,et al.  Enhanced high-order harmonic generation in donor-doped band-gap materials , 2018, Physical Review A.

[5]  Peixiang Lu,et al.  High-order-harmonic generation of a doped semiconductor , 2017 .

[6]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[7]  L. A. Lompré,et al.  Multiple-harmonic conversion of 1064 nm radiation in rare gases , 1988 .

[8]  R. Huber,et al.  Real-time observation of interfering crystal electrons in high-harmonic generation , 2015, Nature.

[9]  P. Agostini,et al.  Strong-field and attosecond physics in solids , 2014 .

[10]  P. Lu,et al.  Wavelength scaling of the cutoff energy in the solid high harmonic generation , 2017 .

[11]  A. Zunger,et al.  Extracting E versus k ⃗ effective band structure from supercell calculations on alloys and impurities , 2012 .

[12]  Oriol Vendrell,et al.  Imaging electronic quantum motion with light , 2012, Proceedings of the National Academy of Sciences.

[13]  P. Corkum,et al.  Plasma perspective on strong field multiphoton ionization. , 1993, Physical review letters.

[14]  J. Fabian,et al.  Lightwave valleytronics in a monolayer of tungsten diselenide , 2018, Nature.

[15]  Pierre Agostini,et al.  Redshift in the optical absorption of ZnO single crystals in the presence of an intense midinfrared laser field. , 2011, Physical review letters.

[16]  P. Corkum,et al.  All-Optical Reconstruction of Crystal Band Structure. , 2015, Physical review letters.

[17]  D. Villeneuve,et al.  Attosecond science , 2018 .

[18]  Claus Ropers,et al.  Tailored semiconductors for high-harmonic optoelectronics , 2017, Science.

[19]  L. Poletto,et al.  Isolated Single-Cycle Attosecond Pulses , 2006, Science.

[20]  S. Chu,et al.  High-order harmonic generation in disordered semiconductors , 2018 .

[21]  T. Du,et al.  Quasi-classical analysis of the dynamics of the high-order harmonic generation from solids. , 2016, Optics express.

[22]  A. A. Lanin,et al.  Nonlinear spectroscopy with few-cycle pulses in mid-infrared: Mapping the electron band structure by intraband high-harmonic generation in solids , 2017, 2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC).

[23]  Marc J. J. Vrakking,et al.  Attosecond molecular dynamics: fact or fiction? , 2014, Nature Photonics.

[24]  Randall D. Kamien,et al.  Reviews of Modern Physics at 90 , 2019, Physics Today.

[25]  R. Huber,et al.  Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations , 2014 .

[26]  T. Brabec,et al.  Merge of high harmonic generation from gases and solids and its implications for attosecond science , 2017 .

[27]  Randy A. Bartels,et al.  Generation of Spatially Coherent Light at Extreme Ultraviolet Wavelengths , 2002, Science.

[28]  P. Bucksbaum,et al.  The Future of Attosecond Spectroscopy , 2007, Science.

[29]  L. Madsen,et al.  High-order harmonic generation in imperfect crystals , 2019, Physical Review A.

[30]  V. Yakovlev,et al.  Quantum beats in the polarization response of a dielectric to intense few-cycle laser pulses , 2012, 1210.2238.

[31]  Peter Hommelhoff,et al.  Strong-field perspective on high-harmonic radiation from bulk solids. , 2014, Physical review letters.

[32]  E. Goulielmakis,et al.  Extreme ultraviolet high-harmonic spectroscopy of solids , 2015, Nature.

[33]  P. Corkum,et al.  High harmonic generation tomography of impurities in solids: Conceptual analysis , 2018, Physical Review B.

[34]  M. Ivanov,et al.  Direct numerical observation of real-space recollision in high-order harmonic generation from solids , 2019, Physical Review A.

[35]  F. Légaré,et al.  Linking high harmonics from gases and solids , 2015, Nature.

[36]  Qingbin Zhang,et al.  Time-dependent population imaging for high-order-harmonic generation in solids , 2017, 1705.02784.

[37]  Nirit Dudovich,et al.  High harmonic interferometry of multi-electron dynamics in molecules , 2009, Nature.

[38]  Gopal Dixit,et al.  X-ray imaging of chemically active valence electrons during a pericyclic reaction , 2014, Nature Communications.

[39]  Chi-Cheng Lee,et al.  Unfolding first-principles band structures. , 2010, Physical review letters.

[40]  Musheng Wu,et al.  First-principle calculations of effective mass of silicon crystal with vacancy defects , 2016 .

[41]  Zhong Guan,et al.  High-order-harmonic generation from periodic potentials driven by few-cycle laser pulses , 2015, 1511.08398.

[42]  B. Zaks,et al.  Experimental observation of electron–hole recollisions , 2012, Nature.

[43]  A. Chew,et al.  High-harmonic generation in amorphous solids , 2017, Nature Communications.

[44]  Pierre Agostini,et al.  Observation of high-order harmonic generation in a bulk crystal , 2011 .

[45]  P. Balcou,et al.  Observation of a Train of Attosecond Pulses from High Harmonic Generation , 2001, Science.

[46]  F. Krausz,et al.  Colloquium: Strong-field phenomena in periodic systems , 2017, 1712.05685.