Muon catalysis of nuclear fusion reactions

Vorob'ev, A. A.

doi:10.1070/pu1986v029n04abeh003312

Cited by 6 publications

(10 citation statements)

References 4 publications

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“…IV. In contrast to older works which concentrated on the intrinsic effect at large frequency [50] we were able to discuss the phenomenon of current induced optical activity in the entire spectrum from smallest all the way to optical frequencies. We thereby identify the range of frequencies much smaller than the band splitting (typically on the THz scale) to be most interesting:…”

Section: Summary Discussion and Outlookmentioning

confidence: 87%

“…The typical origin of the polarization rotation phenomena lie in the presence of time-reversal breaking in a magnetically-ordered crystal. However, it has been noticed a while ago [17][18][19] that in noncentrosymmetric crystals passage of a transport current can induce rotation of light polarization. This possibility is dictated by symmetry considerations: viewing G as a linear response to the transport current, one immediately concludes that it is odd with respect to the operation of time reversal, and the lack of an inversion center in the crystal allows G to be a pseudovector, even though the current density is a polar one.…”

Section: Current-induced Hall Response and Optical Activity In Mementioning

confidence: 99%

“…At optical frequencies, the GHE is the same as the phenomenon of current-induced optical activity, which has been studied both theoretically [17,18], and experimentally [19][20][21]. We reserve a more general name of the GHE to emphasize that it also pertains to the limit of low frequencies, and purely transport measurements.…”

Section: Introductionmentioning

confidence: 99%

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Gyrotropic Hall effect in Berry-curved materials

et al. 2019

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We study the ac Hall response induced by passage of dc transport current in two-and threedimensional metals with gyrotropic point groups -the gyrotropic Hall effect -and consider the phenomenon of current-induced optical activity in noncentrosymmetric metals as a physical application of our theory. While the effect is expected to be present in single crystals of any noncentrosymmetric metal, we expect it to be strongest in enantiomorphic Weyl semimetals. Using the semiclassical kinetic equation approach we present several mechanisms underlying the gyrotropic Hall effect. Amongst them, the intrinsic mechanism is determined by the Berry curvature dipole, while extrinsic impurity-induced processes are related to skew scattering and side jump phenomena. In general, the intrinsic and extrinsic contributions can be of similar magnitude. We discuss the gyrotropic Hall effect for all frequencies of practical interest, from the DC transport limit, to optical frequencies. We show that for frequencies that are small compared to relevant band splittings, the trace of the gyrotropic Hall tensor in three-dimensional materials is proportional to a topological, quantized Berry charge, and therefore is robust in gyrotropic Weyl systems. This implies that polycrystals of strongly gyrotropic Weyl semimetals will demonstrate strong current-induced optical activity, whereas the response vanishes for polycrystalline ordinary metals. Therefore, the currentinduced optical activity can be considered a valuable tool in identifying the topological nature of a material.

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Section: Summary Discussion and Outlookmentioning

confidence: 87%

Section: Current-induced Hall Response and Optical Activity In Mementioning

confidence: 99%

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Gyrotropic Hall effect in Berry-curved materials

et al. 2019

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“…11, and a related phenomenon of current-induced optical activity in tellurium was observed in Ref. 12.…”

Section: Introductionmentioning

confidence: 78%

Pancharatnam-Berry phase and kinetic magnetoelectric effect in trigonal tellurium

Şahin

Rou

et al. 2018

Phys. Rev. B

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We study the kinetic magnetoelectric effect (current-induced magnetization including both the orbital and spin contributions) in three-dimensional conductors, specializing to the case of p-doped trigonal tellurium. We include both intrinsic and extrinsic contributions to the effect, which stem from the band structure of the crystal, and from disorder scattering, respectively. Specifically, we determine the dependence of the kinetic magnetoelectric response on the hole doping in tellurium, and show that the intrinsic and extrinsic effects dominate for low and high levels of doping, respectively. The results of this work imply that three-dimensional helical metals are promising for spintronics applications, in particular, they can provide robust control over current-induced magnetic torques.In this Section we summarize the current state of the KME theory in semimetals and doped semiconductors. arXiv:1712.06586v1 [cond-mat.mes-hall]

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“…We refer for this to the works by Vorob'ev [25,26], which also suggests a solution to some priority question by mentioning this notion had already be considered by Felix Klein [26].…”

Section: Introductionmentioning

confidence: 99%

Partial Lie-point symmetries of differential equations

Cicogna

Gaeta²

2001

J. Phys. A: Math. Gen.

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When we consider a differential equation ∆ = 0 whose set of solutions is S∆, a Lie-point exact symmetry of this is a Lie-point invertible transformation T such that T (S∆) = S∆, i.e. such that any solution to ∆ = 0 is tranformed into a (generally, different) solution to the same equation; here we define partial symmetries of ∆ = 0 as Lie-point invertible transformations T such that there is a nonempty subset P ⊂ S∆ such that T (P) = P, i.e. such that there is a subset of solutions to ∆ = 0 which are transformed one into the other. We discuss how to determine both partial symmetries and the invariant set P ⊂ S∆, and show that our procedure is effective by means of concrete examples. We also discuss relations with conditional symmetries, and how our discussion applies to the special case of dynamical systems. Our discussion will focus on continuous Lie-point partial symmetries, but our approach would also be suitable for more general classes of transformations; the discussion is indeed extended to partial generalized (or Lie-Bäcklund) symmetries along the same lines, and in the appendix we will discuss the case of discrete partial symmetries.

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Muon catalysis of nuclear fusion reactions

Cited by 6 publications

References 4 publications

Gyrotropic Hall effect in Berry-curved materials

Gyrotropic Hall effect in Berry-curved materials

Pancharatnam-Berry phase and kinetic magnetoelectric effect in trigonal tellurium

Partial Lie-point symmetries of differential equations

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