A beam splitter for Dirac–Weyl fermions through the Goos–Hänchen-like shift

Zheng, Renfei; Zhou, Lu; Zhang, Weiping

doi:10.1016/j.physleta.2017.10.011

Cited by 4 publications

(4 citation statements)

References 37 publications

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“…Although the magnitude of GH shift in total reflection from a single-interface (step potential) is about Fermi wavelength of electron which impedes its direct measurement, it can be enlarged by considering a system acting as a waveguide which causes accumulation of shifts in multiple reflection of electron beam from the waveguide boundaries [29,36,38,65]. Also, in the process of transmitting electrons through potential barrier/well, transmission resonances can occur which enhance the GH shift value considerably [33,34,37,38,43,66]. Note that similar and other mechanisms for amplifying optical GH shifts are considered in literatures (see Ref.…”

Section: A Proposal For Gh Shift Measurementmentioning

confidence: 99%

“…When an electron beam is incident on a boundary separating two regions of different densities, the reflected/transmitted beam undergoes a GH shift similar to a light beam crossing a boundary between materials * asaffarz@sfu.ca with different optical indices. Accordingly, the GH shift of electrons in condensed matter systems [24][25][26][27][28] especially in Dirac materials [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] has been extensively studied.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, it was shown that the electronic IF shift can be utilized to characterize the Weyl semimetals [42]. On the other hand, the results of electronic beam shifts (EBS) suggest a new generation of nanoelectronic devices based on transition metal dichalcogenides [36][37][38] and Weyl semimetals [42,43]. Therefore, the study of EBS on topological insulators along with the ability of measuring EBS can potentially provide applications in characterizing the parameters of TIs as well as the fabrication of new TI-based nanodevices.…”

Section: Introductionmentioning

confidence: 99%

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Electron beam splitting at topological insulator surface states and a proposal for electronic Goos-Hanchen shift measurement

Ghadiri,

Saffarzadeh

2022

Preprint

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The hexagonal warping effect on transport properties and Goos-Hänchen (GH) lateral shift of electrons on the surface of a topological insulator with a potential barrier is investigated theoretically. Due to the warped Fermi surface for incident electron beams, we can expect two propagating transmitted beams corresponding to the occurrence of double refraction. The transmitted beams have spin orientations locked to their momenta so that one of the spin directions rotates compared to the incident spin direction. Based on a low-energy Hamiltonian near the Dirac point and considering Gaussian beams, we derive expressions for calculating lateral shifts in the presence of warping effect. We study the dependence of transmission probabilities and GH shifts of transmitted beams on system parameters in detail by giving an explanation for the appearance of large peaks in the lateral shifts corresponding to their transmission peaks. It is shown that the separation between two transmitted beams through their different GH shifts can be as large as a few micrometers which is large enough to be observed experimentally. Finally, we propose a method to measure the GH shift of electron beams based on the transverse magnetic focusing technique in which by tuning an applied magnetic field a detectable resonant path for electrons can be induced.

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Section: A Proposal For Gh Shift Measurementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electron beam splitting at topological insulator surface states and a proposal for electronic Goos-Hanchen shift measurement

Ghadiri,

Saffarzadeh

2022

Preprint

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“…Thanks to the linear dispersion, Weyl electrons share certain features with light. For example, it is predicted that the Goos-Hänchen and Imbert-Fedorov shifts at the reflection interface in optics have their counterparts in Weyl semimetals [39][40][41] . The making of a Veselago lens and the effects of tilted Weyl electrons with unidirectional barriers are also discussed [42][43][44] .…”

Section: B Electronic Caustics and Focusing Effectmentioning

confidence: 99%

Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals

Lu¹,

Zhang²

2018

J. Phys.: Condens. Matter

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We solve the Weyl electron scattered by a spherical step potential barrier. Tuning the incident energy and the potential radius, one can enter both quasiclassical and quantum regimes. Transport features related to far-field currents and integrated cross sections are studied to reveal the preferred forward scattering. In the quasiclassical regime, a strong focusing effect along the incident spherical axis is found in addition to optical caustic patterns. In the quantum regime, at energies of successive angular momentum resonances, a polar aggregation of electron density is found inside the potential. The findings will be useful in transport studies and electronic lens applications in Weyl systems.

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