Goos-Hänchen and Imbert-Fedorov effects in Weyl semimetals

Ye, Guangzhou; Zhang, Wenshuai; Wu, Weijie; Chen, Shizhen; Shu, Weixing; Luo, Hailu; Wen, Shuangchun

doi:10.1103/physreva.99.023807

Cited by 45 publications

(30 citation statements)

References 50 publications

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“…The GH shift and transverse displacement, called Imbert-Fedorov (IF) shift, of a light beam on the surface of some Dirac materials, such as graphene and Weyl semimetals, have also been investigated [47,48]. The results showed that the optical beam shifts provide a possible scheme for direct measurement of the parameters in these materials [47,48]. Moreover, it was shown that the electronic IF shift can be utilized to characterize the Weyl semimetals [42].…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

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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“…23 Meanwhile, because of the equivalent magnetic field, the dielectric constant tensor has nonzero off-diagonal components, thus resulting in cross-polarized transmission and reflection coefficients. 24 Recently, a wide range of optical phenomena in WSM-based systems, such as adjustable Goos-Hänchen shift, 25 large Kerr and Faraday effects, 24,26 and anomalous Hall effects, [17][18][19][20] has been discussed. Nevertheless, to our knowledge, there exist few reports on the group delays of the transmitted light in WSM-based systems and the feasible enhancement phenomena.…”

Section: Introductionmentioning

confidence: 99%

Enhanced and tunable transmitted group delays based on epsilon-near-zero response of Weyl semimetal

Zeng

2022

Opt. Eng.

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.We theoretically discuss the group delays induced by the transverse-magnetic polarized light penetrating a Weyl semimetal (WSM) film. It is shown that the transmitted group delay τps emerges because of the nonzero off-diagonal components of the dielectric constant tensor. In particular, the transmitted group delays τpp and τps are enlarged significantly at the epsilon-near-zero (ENZ) frequency, where steep phase changes occur due to the sharp changes of the transmission coefficients | tpp | and | tps | . More importantly, the tunable ENZ effect can be effectively obtained with Fermi energy, so the giant enhanced group delays at various frequencies can be readily realized. The enhanced group delays also show the adjustability of WSM thickness, incident angle, and Weyl node separation. Our findings supply easy and available methods to realize the adjustable enhanced group delays with a WSM.

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“…Chen et al found that the photonic spin Hall shifts on the surface of a WSM thin film was closely related to the distance of Weyl nodes, thus can be utilized to estimate the separation of Weyl nodes in momentum space [30]. Among the research on topological optics, optical conductivity is a key parameter to control and ameliorate the PSHE occurring at a topological interface [30][31][32][33]. However, most of the previous studies do not involve the effects of tilt of Weyl nodes and chemical potential on the complex optical conductivity matrices of WSMs for all frequency ranges [12,[33][34][35].…”

Section: Introductionmentioning

confidence: 99%

“…Among the research on topological optics, optical conductivity is a key parameter to control and ameliorate the PSHE occurring at a topological interface [30][31][32][33]. However, most of the previous studies do not involve the effects of tilt of Weyl nodes and chemical potential on the complex optical conductivity matrices of WSMs for all frequency ranges [12,[33][34][35]. Therefore, modifying and/or manipulating the PSHE via controlling the tilt and impurity in WSMs, to the best of our knowledge, have not yet been reported so far.…”

Section: Introductionmentioning

confidence: 99%

Photonic spin Hall effect on the surfaces of type-I and type-II Weyl semimetals

et al. 2020

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Topological optics is an emerging research area in which various topological and geometrical ideas are being proposed to design and manipulate the behaviors of photons. Here, the photonic spin Hall effect on the surfaces of topological Weyl semimetal (WSM) films was studied. Our results show that the spin-dependent splitting (i.e. photonic spin Hall shifts) induced by the spin-orbit interaction is little sensitive to the tilt αt of Weyl nodes and the chemical potential μ in type-I WSM film. In contrast, photonic spin Hall shifts in both the in-plane and transverse directions present versatile dependent behaviors on the αt and μ in type-II WSM film. In particular, the largest in-plane and transverse spin Hall shifts appear at the tilts between −2 and −3, which are ~40 and ~10 times of the incident wavelength, respectively. Nevertheless, the largest spin Hall shifts for type-II WSM film with positive αt are only several times of incident wavelength. Moreover, the photonic spin Hall shifts also exhibit different variation trends with decreasing the chemical potential for different signs of αt in type-II WSM films. This dependence of photonic spin Hall shifts on tilt orientation in type-II WSM films has been explained by time-reversal-symmetry-breaking Hall conductivities in WSMs.

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Goos-Hänchen and Imbert-Fedorov effects in Weyl semimetals

Cited by 45 publications

References 50 publications

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

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

Enhanced and tunable transmitted group delays based on epsilon-near-zero response of Weyl semimetal

Photonic spin Hall effect on the surfaces of type-I and type-II Weyl semimetals

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