Tunable polarization in a beam splitter based on two-dimensional topological insulators

Rothe, D. G.; Hankiewicz, Ewelina M.

doi:10.1103/physrevb.89.035418

Cited by 6 publications

(3 citation statements)

References 41 publications

(72 reference statements)

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“…In this paper, we reviewed recent findings in the field of classical-wave-based topological insulators. While we discussed a few important technology-oriented applications of topological wave insulators in the previous section, there exists a large variety of reports on other relevant applications, including switching [401][402][403][404][405][406][407], modulation [408][409][410], lensing [411], negative refraction [412], sensing [413], beam splitting [414][415][416][417][418], mode locked fiber lasers [419][420][421][422][423][424], delay lines [425][426][427], integrated photonic and phononic devices [428,429], frequency filters [430], frequency converters [431][432][433], interferometers [434], and amplifiers [435,436]. It is important to realize that the advantageous properties of topological wave systems, especially in acoustics, are often mitigated by the presence of dissipation losses, imposing certain restrictions on the available bandwidth of operation or propagation length of the topological edge modes.…”

Section: Discussionmentioning

confidence: 99%

Topological wave insulators: a review

Zangeneh-Nejad¹,

Alù²,

Fleury³

2020

Comptes Rendus. Physique

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Originally discovered in condensed matter systems, topological insulators (TIs) have been ubiquitously extended to various fields of classical wave physics including photonics, phononics, acoustics, mechanics, and microwaves. In the bulk, like any other insulator, electronic TIs exhibit an excessively high resistance to the flow of mobile charges, prohibiting metallic conduction. On their surface, however, they support one-way conductive states with inherent protection against certain types of disorder and defects, defying the common physical wisdom of electronic transport in presence of impurities. When transposed to classical waves, TIs open a wealth of exciting engineering-oriented applications, such as robust routing, lasing, signal processing, switching, etc., with unprecedented robustness against various classes of defects. In this article, we first review the basic concept of topological order applied to classical waves, starting from the simple onedimensional example of the Su-Schrieffer-Heeger (SSH) model. We then move on to two-dimensional wave TIs, discussing classical wave analogues of Chern, quantum Hall, spin-Hall, Valley-Hall, and Floquet TIs. Finally, we review the most recent developments in the field, including Weyl and nodal semimetals, higherorder topological insulators, and self-induced non-linear topological states.

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Section: Discussionmentioning

confidence: 99%

Topological wave insulators: a review

Zangeneh-Nejad¹,

Alù²,

Fleury³

2020

Comptes Rendus. Physique

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“…These terms can break the axial spin symmetry of the edge states. Then, edge states acquire an energy-dependent spin orientation, although they remain Kramers pairs [13][14][15][16]. In three-dimensional topological insulators, the splitting of surface states bands by RSOC has been observed experimentally [17] and modelled theoretically [18] for Bi 2 Se 3 on a SiC substrate.…”

Section: Introductionmentioning

confidence: 99%

Rashba coupling and spin switching through surface states of Dirac semimetals

Baba,

Domínguez-Adame,

Platero

et al. 2020

Preprint

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We study the effect of the Rashba spin-orbit coupling on the Fermi arcs of topological Dirac semimetals. The Rashba coupling is induced by breaking the inversion symmetry at the surface. Remarkably, this coupling could be enhanced by the interaction with the substrate and controlled by an external electric field. We study analytically and numerically the rotation of the spin of the surface states as a function of the electron's momentum and the coupling strength. Furthermore, a detailed analysis of the spin-dependent two-terminal conductance is presented. Depending on the magnitude of the quadratic terms in the Hamiltonian, the spinflip conductance may become dominant, thus showing the potential of the system for spintronic applications.

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“…In a particularly interesting proposal for inelastic backscattering, Schmidt et al 21 considered HESs without axial spin symmetry. The Rashba spin-orbit coupling (RSOC) [35][36][37] and bulk inversion asymmetry (BIA) 11,38,39 can break the axial spin symmetry of the HESs. In this case, a pair of HESs acquire a more generic and intriguing spin-structure than merely having opposite and constant spin-orientations independently of energy.…”

Section: Introductionmentioning

confidence: 99%

Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator

et al. 2016

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We study the helical edge states of a two-dimensional topological insulator without axial spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead to so-called generic helical edge states, which have energy-dependent spin orientation. This opens the possibility of inelastic backscattering and thereby nonquantized transport. Here we find analytically the new dispersion relations and the energy dependent spin orientation of the generic helical edge states in the presence of Rashba spin-orbit coupling within the Bernevig-Hughes-Zhang model, for both a single isolated edge and for a finite width ribbon. In the single-edge case, we analytically quantify the energy dependence of the spin orientation, which turns out to be weak for a realistic HgTe quantum well. Nevertheless, finite size effects combined with Rashba spin-orbit coupling result in two avoided crossings in the energy dispersions, where the spin orientation variation of the edge states is very significantly increased for realistic parameters. Finally, our analytical results are found to compare well to a numerical tight-binding regularization of the model.

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Tunable polarization in a beam splitter based on two-dimensional topological insulators

Cited by 6 publications

References 41 publications

Topological wave insulators: a review

Topological wave insulators: a review

Rashba coupling and spin switching through surface states of Dirac semimetals

Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator

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