Controllable Goos-Hänchen shifts and spin beam splitter for ballistic electrons in a parabolic quantum well under a uniform magnetic field

Chen, Xi; Lu, Xiao-Jing; Wang, Yan; Li, Chunfang

doi:10.1103/physrevb.83.195409

Cited by 30 publications

(13 citation statements)

References 34 publications

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“…This phenomenon is referred to as the Goos-Hänchen (GH) effect which was demonstrated by Goos and Hänchen [1] and was theoretically explained by Artmann [2]. So far, this phenomenon, occurring in both reflection and transmission of a light beam on various configurations, has been widely analyzed both theoretically [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and experimentally [18][19][20]. Meanwhile, the time delay associated with the GH shift (named as the GH time) has also been investigated according to the stationary phase theory which gives the phase time [21][22][23] and the new energy-flux method [24,25].…”

Section: Introductionmentioning

confidence: 94%

The time-dependent energy-flux pattern in total reflection of a pulsed light beam

Liu

Yang

Zhu

et al. 2012

J. Opt.

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For total reflection of a pulsed light beam at the interface between vacuum and a negative permittivity medium, the electromagnetic fields and the associated energy-flux patterns in the two media are investigated analytically and numerically. For a TE (transverse electric) polarized pulsed beam with positive Goos–Hänchen shift, energy reflection occurs not only in the second medium but also in the first medium because of interference between the incident and reflected fields. However, for TM (transverse magnetic) polarization where the Goos–Hänchen shift is negative, reflection of energy flux occurs in the first medium (or in front of the interface). At the same time, the energy flux around the interface forms time-dependent loops which absorb energy from the incoming flux in the front edge of the pulse but release energy into the outgoing flux in the later edge of the pulse to ensure energy conservation. Therefore, the so-called causality paradox in TM polarization is caused by the fact that interference between incident and reflected fields in the first medium and energy-flux loops around the interface offer a shorter path for reflection of energy flux (or photons).

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Section: Introductionmentioning

confidence: 94%

The time-dependent energy-flux pattern in total reflection of a pulsed light beam

Liu

Yang

Zhu

et al. 2012

J. Opt.

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“…To name a few, in a semi-infinite medium, near the Brewster angle in a low absorbing material, the GHS of the reflection light is examined [15,16], and in many designs of defected or normal photonic crystals (PC), the lateral shift is obtained [17,18]. Further, the GHS is investigated and reported in artificial manufacture materials such as metamaterials [19] and is found using ejected electrons in a semiconductor quantum slab or well [20,21].…”

Section: Introductionmentioning

confidence: 99%

The general treatment of giant Goos-Hänchen shift in a slab cavity

Othman

2020

Journal of Taibah University for Science

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In this study, the general treatment to obtain negative/positive giant Goos-Hänchen shifts for a slab cavity is provided. We find that there are two main types of giant shifts: The first type (type I) is associated with near-zero reflection coefficient, and the second type (type II) is associated with extra-large reflection and transmission coefficients. An infinite number of modes for each type are found. The general equations for both types with the model's parameters are presented to exactly locate the modes. Type I appears with near-zero absorption/gaining, while Type II appears with a finite gaining with values depend on the modes. The real values of the modes' susceptibility are found to be almost the same. Both types can generate negative or positive lateral shifts when the susceptibility is slightly modified. We finally present a discussion about their physical explanation and potential applications.

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“…In fact, proposals of the longitudinal (Goos-Hänchen like) shift for electrons appeared quite early, at least since the 1970s [14][15][16]. Since the early 2000s, the longitudinal shift was actively explored in the two-dimensional (2D) electron gas with spin-orbit coupling (SOC) due to the surge of research interest in spintronics [17][18][19], and then in graphene and 2D material heterostructures [20][21][22][23][24][25]. The research is strongly motivated by the rapid progress of the experimental techniques in fabricating high-quality junctions and in manipulating electrons in these microstructures [26].…”

Section: Introductionmentioning

confidence: 99%

Anomalous spatial shifts in interface electronic scattering

Liu

Yang

2019

Front. Phys.

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The anomalous spatial shifts at interface scattering, first studied in geometric optics, recently found their counterparts in the electronic context. It was shown that both longitudinal and transverse shifts, analogous to the Goos-Hänchen and Imbert-Fedorov effects in optics, can exist when electrons are scattered at a junction interface. More interestingly, the shifts are also discovered in the process of Andreev reflection at a normal/superconductor interface. Particularly, for the case with unconventional superconductors, it was discovered that the transverse shift can arise solely from the superconducting pair potential and exhibit characteristic features depending on the pairing. Here, we briefly review the recent works in this field, with an emphasis on the physical picture and theoretical understanding. arXiv:1901.00294v1 [cond-mat.mes-hall]

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Controllable Goos-Hänchen shifts and spin beam splitter for ballistic electrons in a parabolic quantum well under a uniform magnetic field

Cited by 30 publications

References 34 publications

The time-dependent energy-flux pattern in total reflection of a pulsed light beam

The time-dependent energy-flux pattern in total reflection of a pulsed light beam

The general treatment of giant Goos-Hänchen shift in a slab cavity

Anomalous spatial shifts in interface electronic scattering

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