On generalized <i>m</i>-<i>S</i>-permutable subgroups of a finite group

Huang, Jianhong; Hu, Bin

doi:10.1080/00927872.2018.1503285

Cited by 2 publications

(4 citation statements)

References 29 publications

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“…The surface consequences of these bulk Weyl nodes, topological surface Fermi arcs, span a distance constrained by the separation of the bulk nodes. The longest Fermi arcs thus far experimentally observed have been in TaAs [14,15], and are still significantly shorter than the zone-spanning ones we propose in RhSi. Large Fermi arcs crossing a quarter of the surface BZ have also been observed in WTe 2 ; however they have been shown to be topologically trivial [21,68], and thus highly sensitive to surface conditions.…”

Section: E3 Momentum-space Weyl Node Separation and Fermi Arc Lengthcontrasting

confidence: 53%

“…[s 2i , s 2j ] = 0 (14) and all square to +1. Under these conditions, our minimal eight-band model admits just a single mass term at R:…”

Section: Sm C2 K · P Theory Of R and γ Without And With Socmentioning

confidence: 99%

“…See Table S1). For example, the topologically nontrivial energy window in NbP is around 20meV [14,15]. The energy dispersion passing through W 2 in NbP is plotted in Fig.…”

Section: E1 Topologically Nontrivial Energy Windowmentioning

confidence: 99%

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Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi

et al. 2017

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The theoretical proposal of chiral fermions in topological semimetals has led to a significant effort towards their experimental realization. In particular, the Fermi surfaces of chiral semimetals carry quantized Chern numbers, making them an attractive platform for the observation of exotic transport and optical phenomena. While the simplest example of a chiral fermion in condensed matter is a conventional |C|=1 Weyl fermion, recent theoretical works have proposed a number of unconventional chiral fermions beyond the standard model which are protected by unique combinations of topology and crystalline symmetries. However, materials candidates for experimentally probing the transport and response signatures of these unconventional fermions have thus far remained elusive. In this Letter, we propose the RhSi family in space group No. 198 as the ideal platform for the experimental examination of unconventional chiral fermions. We find that RhSi is a filling-enforced semimetal that features near its Fermi surface a chiral double sixfold-degenerate spin-1 Weyl node at R and a previously uncharacterized fourfold-degenerate chiral fermion at Γ. Each unconventional fermion displays Chern number ±4 at the Fermi level. We also show that RhSi displays the largest possible momentum separation of compensative chiral fermions, the largest proposed topologically nontrivial energy window, and the longest possible Fermi arcs on its surface. We conclude by proposing signatures of an exotic bulk photogalvanic response in RhSi.

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Section: E3 Momentum-space Weyl Node Separation and Fermi Arc Lengthcontrasting

confidence: 53%

“…[s 2i , s 2j ] = 0 (14) and all square to +1. Under these conditions, our minimal eight-band model admits just a single mass term at R:…”

Section: Sm C2 K · P Theory Of R and γ Without And With Socmentioning

confidence: 99%

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Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi

et al. 2017

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“…The Chern number is equal to the strength of the Berry magnetic monopole enclosed by the Fermi surface, while the monopole charge (also called chirality) summed over all the Weyl points in the Brillouin zone vanishes 30,31 . In recent studies several materials have been theoretically predicted to be Weyl semimetals, with experimental confirmation in several candidate materials such as, TaAs, NbAs, TaP, NbP [13][14][15][16][32][33][34][35] .…”

Section: Introductionmentioning

confidence: 99%

Anomalous Nernst effect in type-II Weyl semimetals

Saha

Tewari

2018

Eur. Phys. J. B

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Topological Weyl semimetals (WSM), a new state of quantum matter with gapless nodal bulk spectrum and open Fermi arc surface states, have recently sparked enormous interest in condensed matter physics. Based on the symmetry and fermiology, it has been proposed that WSMs can be broadly classified into two types, type-I and type-II Weyl semimetals. While the undoped, conventional, type-I WSMs have point like Fermi surface and vanishing density of states (DOS) at the Fermi energy, the type-II Weyl semimetals break Lorentz symmetry explicitly and have tilted conical spectra with electron and hole pockets producing finite DOS at the Fermi level. The tilted conical spectrum and finite DOS at Fermi level in type-II WSMs have recently been shown to produce interesting effects such as a chiral anomaly induced longitudinal magnetoresistance that is strongly anisotropic in direction and a novel anomalous Hall effect. In this work, we consider the anomalous Nernst effect in type-II WSMs in the absence of an external magnetic field using the framework of semi-classical Boltzmann theory. Based on both a linearized model of time-reversal breaking WSM with a higher energy cut-off and a more realistic lattice model, we show that the anomalous Nernst response in these systems is strongly anisotropic in space, and can serve as a reliable signature of type-II Weyl semimetals in a host of magnetic systems with spontaneously broken time reversal symmetry. arXiv:1707.04117v2 [cond-mat.mes-hall]

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On generalized m-S-permutable subgroups of a finite group

Cited by 2 publications

References 29 publications

Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi

Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi

Anomalous Nernst effect in type-II Weyl semimetals

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