Strong-Field Resonant Dynamics in Semiconductors

Wismer, Michael S.; Kruchinin, Stanislav Yu.; Ciappina, M. F.; Stockman, Mark I.; Yakovlev, Vladislav S.

doi:10.1103/physrevlett.116.197401

Cited by 67 publications

(61 citation statements)

References 46 publications

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“…Since the electron and hole are delocalized, it is unnecessary for them to return to their original positions to emit HHG. The interband nonresonant and resonant Zener tunneling had been studied previously [21,[24][25][26]. The electronhole recollisions have also been observed in experiments [15,27].…”

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confidence: 81%

Quasi-classical analysis of the dynamics of the high-order harmonic generation from solids

Du¹,

Bian²

2017

Opt. Express

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We study numerically the Bloch electron wave-packet dynamics in periodic potentials to simulate laser-solid interactions. We introduce a quasi-classical model in the k space combined with the energy band structure to understand the high-order harmonic generation (HHG) process occurring in a subcycle timescale. This model interprets the multiple plateau structure in HHG spectra well and the linear dependence of cutoff energies on the amplitude of vector potential of the laser fields. It also predicts the emission time of HHG, which agrees well with the results by solving the timedependent Schrödinger equation (TDSE). It provides a scheme to reconstruct the energy dispersion relations in Brillouin zone and to control the trajectories of HHG by varying the shape of laser pulses. This model is instructive for experimental measurements.PACS numbers: 42.65. Ky, 42.65.Re, 72.20.Ht High-order harmonic generation (HHG) in atomic and molecular systems in the gas phase has been well studied theoretically and experimentally [1,2]. It can be understood by a semi-classical three-step model [3]. The bound electron may be ionized by tunneling, then driven by the external laser field. When it recombines with the parent ion, harmonics are emitted. The cutoff energy is around I p +3.17U p (U p is the ponderomotive energy, which is proportional to A 2 0 , where A 0 is the amplitude of the vector potential of the laser fields). The HHG has resulted in the birth of attosecond (1 as = 10 −18 s) pulses [4,5] and new imaging tools, such as molecular tomography [6] and spectroscopy [7]. Recent experiments have demonstrated that light-solid interactions offer a wide range of other phenomena and applications to be explored [8][9][10], including HHG from solid-state materials [11][12][13][14][15].Experimental results present a recollision feature in two-color laser fields [16], which is similar to HHG from the gas phase. However, it is also found that the cutoff of HHG from the solid phase depends on the strength E 0 of the laser fields linearly [11], rather than quadratically in the gas phase. Theoretical studies [17,18] show that the cutoff energy of HHG from the solid phase also depends on the laser wavelength λ linearly, rather than λ 2 in the gas phase. Multi-plateau structure in solid HHG has also been found theoretically [17,18] This work introduces a quasi-classical model to investigate the electron dynamic processes under the laser fields in the wave vector k space, which is similar to the three-step model for HHG generated from the atomic and molecular systems in the coordinate space [3].It is also described into three steps: Zener tunneling, electron wave packet oscillation in conduction bands, and an instantaneous electron-hole pair recombination. Since the electron and hole are delocalized, it is unnecessary for them to return to their original positions to emit HHG. The interband nonresonant and resonant Zener tunneling had been studied previously [21,[24][25][26]. The electronhole recollisions have also been observed in e...

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confidence: 81%

Quasi-classical analysis of the dynamics of the high-order harmonic generation from solids

Du¹,

Bian²

2017

Opt. Express

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“…As a whole, the current versus field strength exhibits a non-monotonic increase pattern. Such a non-monotonic increase pattern in graphene is quite different from those under weak-field excitation [6], where a monotonic increase pattern is induced due to the one-photon and two-photon absorption interference, indicated by | | j x µE 0 3 in figure 2(b). In addition, one can see that when the field strength exceeds 1.8 V nm −1 , the variance of residual current with field strength is more sensitive to chirp rate.…”

Section: Non-monotonic Increase Of Residual Currentmentioning

confidence: 84%

“…D depends on their relative phase θ. The transition phase Δj T is π, determined by the sign of electric field, which presents the avoided crossings [6], does not have difference with or without chirp rate. Therefore, we only focus on the propagation phase.…”

Section: Chirp Dependent Landau-zener-stückelberg Interferencementioning

confidence: 99%

“…Quite recently with the occurrence of atomically-thin materials, the interaction of a strong electric field with transparent materials early introduced by Zener [1] and later developed by Keldysh [2] and others, has drawn a renewed attention [3], especially in the light-field-driven regime [4][5][6][7], where electron interband transitions are fundamentally influenced by electron intraband dynamics, and the instantaneous light field (waveform), instead of the cycle-averaged light intensity, dominates the electron dynamics [8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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Waveform control of currents in graphene by chirped few-cycle lasers

Zhang

Wang

et al. 2020

New J. Phys.

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The residual current density in monolayer graphene driven by an intense few-cycle chirped laser pulse is investigated via numerical solution of the time-dependent Schrödinger equation in the light-fielddriven regime. Strikingly, it is found that a purely chirped laser pulse breaks the inversion symmetry in graphene, generating a residual directional current, which is absent for a Fourier-transform limited pulse (2017 Nature 550 224) and is attributed to the chirp-dependent Landau-Zener-Stückelberg interference among different quantum pathways in the reciprocal space. Moreover, the directionality of such a current changes with laser chirp rate following a sine-functional way, which possibly provides a novel application in ultrafast photo-electronics based on two-dimensional materials.

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“…Since the discovery of high harmonic generation (HHG) in solids [1], several works demonstrate the potential of analyzing the light emitted by bulk electrons in solids when exposed to intense laser fields. Recent results include the observation of dynamical Bloch oscillations [2,3], band structure tomography [4,5], resolving electron-hole dynamics [6,7], including dynamics in strongly correlated systems and phase transitions in the Mott insulator [8], the Peierls phase transition [6], or the imprint of the Berry phase on high harmonic spectrum [9,10].…”

Section: Introductionmentioning

confidence: 99%

High harmonic generation in crystals using maximally localized Wannier functions

2019

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In this work, the nonlinear optical response, and in particular, the high harmonic generation of semiconductors is addressed by using the Wannier gauge. One of the main problems in the time evolution of the Semiconductor Bloch equations resides in the fact that the dipole couplings between different bands can diverge and have a random phase along the reciprocal space and this leads to numerical instability. To address this problem, we propose the use of the Maximally Localized Wannier functions that provide a framework to map ab-initio calculations to an effective tight-binding Hamiltonian with great accuracy. We show that working in the Wannier gauge, the basis set in which the Bloch functions are constructed directly from the Wannier functions, the dipole couplings become smooth along the reciprocal space thus avoiding the problem of random phases. High harmonic generation spectrum is computed for a 2D monolayer of hBN as a numerical demonstration.

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Strong-Field Resonant Dynamics in Semiconductors

Cited by 67 publications

References 46 publications

Quasi-classical analysis of the dynamics of the high-order harmonic generation from solids

Quasi-classical analysis of the dynamics of the high-order harmonic generation from solids

Waveform control of currents in graphene by chirped few-cycle lasers

High harmonic generation in crystals using maximally localized Wannier functions

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