Direct Measurement of the Spatial Displacement of Bloch-Oscillating Electrons in Semiconductor Superlattices

Lyssenko, V. G.; Sūdžius, M.; Valušis, Gintaras; Löser, F.; Hasche, T.; Leo, Karl; Dignam, Marc M.; Köhler, K.

doi:10.1002/1521-3951(199711)204:1<61::aid-pssb61>3.0.co;2-r

Cited by 5 publications

(5 citation statements)

References 9 publications

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“…In order to explain the strongly anisotropic ellipticity dependence of HHG in MgO, You et al proposed a model based on classical real-space trajectories in a two-dimensional one-band model including scattering from neighboring atomic sites. However, their simple picture of pure intraband dynamics is physically incompatible with real-space classical trajectories: In fact, the adiabatic evolution within one band in momentum space (Bloch oscillations) corresponds to a Wannier–Stark localization in real space 37 , for which electrons localize at different atomic sites of the crystal 38 , as experimentally observed in semiconductor superlattices 39 . The possibility of maximal harmonic yield at finite ellipticity was proposed for solids, in the regime of semi-metallization of the crystal 40 .…”

Section: Introductionmentioning

confidence: 99%

Ellipticity dependence of high-harmonic generation in solids originating from coupled intraband and interband dynamics

et al. 2017

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The strong ellipticity dependence of high-harmonic generation (HHG) in gases enables numerous experimental techniques that are nowadays routinely used, for instance, to create isolated attosecond pulses. Extending such techniques to solids requires a fundamental understanding of the microscopic mechanism of HHG. Here we use first-principles simulations within a time-dependent density-functional framework and show how intraband and interband mechanisms are strongly and differently affected by the ellipticity of the driving laser field. The complex interplay between intraband and interband effects can be used to tune and improve harmonic emission in solids. In particular, we show that the high-harmonic plateau can be extended by as much as 30% using a finite ellipticity of the driving field. We furthermore demonstrate the possibility to generate, from single circularly polarized drivers, circularly polarized harmonics. Our work shows that ellipticity provides an additional knob to experimentally optimize HHG in solids.

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Section: Introductionmentioning

confidence: 99%

Ellipticity dependence of high-harmonic generation in solids originating from coupled intraband and interband dynamics

et al. 2017

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“…In [82] this behavior has been nicely demonstrated by an explicit solution of the Schrödinger equation. The spatial amplitude of this oscillation has been resolved recently [30].…”

Section: The Standard Approaches For Superlattice Transportmentioning

confidence: 96%

“…Therefore, decaying signals have been observed in these experiments after a short pulse excitation, which synchronizes the dynamics in the very beginning. More recently, the spatial extension of the Bloch-oscillation was resolved by measuring its dipole field [30].…”

Section: Experimental Summarymentioning

confidence: 99%

Semiconductor superlattices: a model system for nonlinear transport

2002

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Electric transport in semiconductor superlattices is dominated by pronounced negative differential conductivity. In this report the standard transport theories for superlattices, i.e. miniband conduction, Wannier-Stark-hopping, and sequential tunneling, are reviewed in detail. Their relation to each other is clarified by a comparison with a quantum transport model based on nonequilibrium Green functions. It is demonstrated how the occurrence of negative differential conductivity causes inhomogeneous electric field distributions, yielding either a characteristic sawtooth shape of the current-voltage characteristic or self-sustained current oscillations. An additional ac-voltage in the THz range is included in the theory as well. The results display absolute negative conductance, photon-assisted tunneling, the possibility of gain, and a negative tunneling capacitance. 2 Notation and list of symbolsThroughout this work we consider a superlattice, which is grown in the z direction. Vectors within the (x, y) plane parallel to the interfaces are denoted by bold face letters k, r, while vectors in 3 dimensional space are r, k, . . . . All sums and integrals extend from −∞ to ∞ if not stated otherwise.The following relations are frequently used in this work and are given here for easy reference:

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“…In the following years, many facets of the topics have been investigated. Different methods for the observation of Bloch oscillation have been applied [88][89][90][91], and nowadays it is possible to detect Bloch oscillations at room temperature [92], to directly measure [93] or even control [94] their amplitude. Wannier-Stark ladders have been found in a variety of superlattice structures [95][96][97][98][99], with different methods [100,101].…”

Section: Experimental Realizationsmentioning

confidence: 99%

Wannier–Stark resonances in optical and semiconductor superlattices

2002

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In this work, we discuss the resonance states of a quantum particle in a periodic potential plus a static force. Originally this problem was formulated for a crystal electron subject to a static electric field and it is nowadays known as the Wannier-Stark problem. We describe a novel approach to the Wannier-Stark problem developed in recent years. This approach allows to compute the complex energy spectrum of a Wannier-Stark system as the poles of a rigorously constructed scattering matrix and solves the Wannier-Stark problem without any approximation. The suggested method is very efficient from the numerical point of view and has proven to be a powerful analytic tool for Wannier-Stark resonances appearing in different physical systems such as optical lattices or semiconductor superlattices.

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Direct Measurement of the Spatial Displacement of Bloch-Oscillating Electrons in Semiconductor Superlattices

Cited by 5 publications

References 9 publications

Ellipticity dependence of high-harmonic generation in solids originating from coupled intraband and interband dynamics

Ellipticity dependence of high-harmonic generation in solids originating from coupled intraband and interband dynamics

Semiconductor superlattices: a model system for nonlinear transport

Wannier–Stark resonances in optical and semiconductor superlattices

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