Superradiant emission from Bloch oscillations in semiconductor superlattices

Martini, Rainer; Klose, G.; Roskos, Hartmut G.; Kurz, H.; Grahn, H. T.; Hey, R.

doi:10.1103/physrevb.54.r14325

Cited by 68 publications

(41 citation statements)

References 13 publications

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“…Refs. [30,31,32]). However, the Bloch oscillations are basically a one-band phenomenon, they have been realized in superlattices (although this is in principle not the condition sine qua non) and, most importantly, they require an external electric field driving electrons all the way to the Brillouin zone boundary.…”

Section: Discussionmentioning

confidence: 99%

Transient Zitterbewegung of charge carriers in mono- and bilayer graphene, and carbon nanotubes

Rusin¹,

2007

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Observable effects due to trembling motion (Zitterbewegung, ZB) of charge carriers in bilayer graphene, monolayer graphene and carbon nanotubes are calculated. It is shown that, when the charge carriers are prepared in the form of gaussian wave packets, the ZB has a transient character with the decay time of femtoseconds in graphene and picoseconds in nanotubes. Analytical results for bilayer graphene allow us to investigate phenomena which accompany the trembling motion. In particular, it is shown that the transient character of ZB in graphene is due to the fact that wave subpackets related to positive and negative electron energies move in opposite directions, so their overlap diminishes with time. This behavior is analogous to that of the wave packets representing relativistic electrons in a vacuum.

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Section: Discussionmentioning

confidence: 99%

Transient Zitterbewegung of charge carriers in mono- and bilayer graphene, and carbon nanotubes

Rusin¹,

2007

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“…It performs a periodic motion, known as Bloch oscillations, 39,40 which is characterized by an angular frequency B = eFd / ប and a spatial extension L B = W / ͑eF͒, where −e is the electron charge, F is the applied electric field strength, d denotes the spatial period of the potential, and W stands for the band width. The Bloch oscillations were observed as oscillations of electronic wave-packets in semiconductor superlattices [41][42][43][44][45][46] ͑see for an overview Ref. 47͒, and later on as a periodic motion of ensembles of ultracold atoms 48,49 and Bose-Einstein condensates 50 in tilted optical lattices.…”

Section: Introductionmentioning

confidence: 99%

Wannier-Stark ladder in the linear absorption of a random system with scale-free disorder

et al. 2006

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We study numerically the linear optical response of a quasiparticle moving on a one-dimensional disordered lattice in the presence of a linear bias. The random site potential is assumed to be long-range correlated with a power-law spectral density S͑k͒ϳ1/k ␣ , ␣ Ͼ 0. This type of correlation results in a phase of extended states at the band center, provided ␣ is larger than a critical value ␣ c ͓F. A. B. F. de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 ͑1998͔͒. The width of the delocalized phase can be tested by applying an external electric field: Bloch-like oscillations of a quasiparticle wave packet are governed by the two mobility edges, playing now the role of band edges ͓F. Domínguez-Adame et al., Phys. Rev. Lett. 91, 197402 ͑2003͔͒. We demonstrate that the frequency-domain counterpart of these oscillations, the so-called Wannier-Stark ladder, also arises in this system. When the phase of extended states emerges in the system, this ladder turns out to be a comb of doublets, for some range of disorder strength and bias. Linear optical absorption provides a tool to detect this level structure.

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“…The WSL leads to resonances of the density of electronic states which were observed for the first time in optical spectra in SSLs [5]. BOs were first observed in time-resolved optical experiments in biased SSLs as oscillations of electron wave packets [6][7][8][9][10], and later as a periodic motion of ensembles of ultracold atoms [11,12] and Bose-Einstein condensates [13,14] in optical lattices. The related high-field phenomenon, Landau-Zener tunneling (LZT) between neighboring bands across the band gap [15,16], was also observed in SSLs for electrons [17,18] In this Letter, we demonstrate that fundamental effects of quantum-wave transport in a perturbed periodic potential such as BOs, WSL, and LZT can be studied with surface acoustic waves (SAWs) in a solid.…”

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Surface Acoustic Bloch Oscillations, the Wannier-Stark Ladder, and Landau-Zener Tunneling in a Solid

et al. 2010

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We present the experimental observation of Bloch oscillations, the Wannier-Stark ladder, and LandauZener tunneling of surface acoustic waves in perturbed grating structures on a solid substrate. A model providing a quantitative description of our experimental observations, including multiple Landau-Zener transitions of the anticrossed surface acoustic Wannier-Stark states, is developed. The use of a planar geometry for the realization of the Bloch oscillations and Landau-Zener tunneling allows a direct access to the elastic field distribution. The vertical surface displacement has been measured by interferometry. DOI: 10.1103/PhysRevLett.104.165502 PACS numbers: 63.20.Àe, 43.35.+d, 63.22.Àm, 68.35.Àp Bloch oscillations (BOs) of an electron in a periodic potential under a constant electric field is a paradigm quantum effect [1,2]. BOs of the wave-packet group velocity are the result of the interplay between the particlelike acceleration by a constant driving force and wave Bragg reflection in the periodic potential. The frequencydomain counterpart of BOs is the equidistant WannierStark ladder (WSL) of localized states in a perturbed periodic system [3]. Electron BOs and WSL have been demonstrated in a number of experiments after the advent of semiconductor superlattices (SSLs) [4]. The WSL leads to resonances of the density of electronic states which were observed for the first time in optical spectra in SSLs [5]. BOs were first observed in time-resolved optical experiments in biased SSLs as oscillations of electron wave packets [6][7][8][9][10], and later as a periodic motion of ensembles of ultracold atoms [11,12] and Bose-Einstein condensates [13,14] in optical lattices. The related high-field phenomenon, Landau-Zener tunneling (LZT) between neighboring bands across the band gap [15,16], was also observed in SSLs for electrons [17,18] In this Letter, we demonstrate that fundamental effects of quantum-wave transport in a perturbed periodic potential such as BOs, WSL, and LZT can be studied with surface acoustic waves (SAWs) in a solid. Our experimental results, including multiple LZ-like transitions between the anticrossed surface acoustic WS states, are described by a theoretical model developed by us. The used planar geometry allows the direct access to the elastic field distribution of the corresponding WS and LZ eigenstates.In our approach, we employ SAW cavities separated by acoustic Bragg reflectors (BRs). These structures are defined by locally changing the SAW propagation properties via the deposition of thin gold stripes in-between a LiNbO 3 SAW delay line (see Fig. 1). The BRs are efficient barriers, presenting high reflectivity for an incoming wave packet. This arises from the destructive interference of the properly arranged set of reflectors that creates a stop-band in the transmission spectrum for the incoming wave. Further-

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Superradiant emission from Bloch oscillations in semiconductor superlattices

Cited by 68 publications

References 13 publications

Transient Zitterbewegung of charge carriers in mono- and bilayer graphene, and carbon nanotubes

Transient Zitterbewegung of charge carriers in mono- and bilayer graphene, and carbon nanotubes

Wannier-Stark ladder in the linear absorption of a random system with scale-free disorder

Surface Acoustic Bloch Oscillations, the Wannier-Stark Ladder, and Landau-Zener Tunneling in a Solid

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