Chirality and magnetism II: Free electron on an infinite helix, inverse Faraday effect and inverse magnetochiral effect

Wagnière, G.; Rikken, G. L. J. A.

doi:10.1016/j.cplett.2010.12.016

Cited by 10 publications

(10 citation statements)

References 13 publications

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“…[29][30][31] For one-dimensional systems, the electronic and optical properties of a helix have been studied. [32][33][34][35][36] The torsion-induced persistent charge currents on twisted quantum wires [37][38][39][40] and knotted tori 41 have also been studied. Despite the theoretical studies of the various kinds of nontrivial geometries reviewed above, no systematic study of the curvature effects of helical geometry on the relativistic electronic properties with spin degree of freedom has been reported.…”

Section: Introductionmentioning

confidence: 99%

Electronic Properties and Persistent Spin Currents of Nanospring under Static Magnetic Field

Kosugi

2013

J. Phys. Soc. Jpn.

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Relativistic electronic properties of a nanospring under a static magnetic field are theoretically investigated in the present study. The wave equation accounting for the spin-orbit interaction is derived for the nanospring as a special case of the Pauli equation for a spin-1/2 particle confined to a curved surface under an electromagnetic field. We define the helical momentum operator and show that it commutes with the Hamiltonian owing to the helical geometry of the nanospring. The energy eigenstates are hence also the eigenstates of the helical momentum. We solve the equation numerically to obtain the surface wave functions and the energy spectra. The electronic properties are systematically examined by varying the parameters that characterize the system. It is demonstrated that either the nonzero spin-orbit interaction or the nonzero external magnetic field suffices for the occurrence of the persistent spin current on the nanospring. Two different mechanisms are shown to generate the persistent spin current. One employs the spin-orbit interaction coming from the local inversion asymmetry on the surface, while the other employs the curvature coupling with the external magnetic field.

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Section: Introductionmentioning

confidence: 99%

Electronic Properties and Persistent Spin Currents of Nanospring under Static Magnetic Field

Kosugi

2013

J. Phys. Soc. Jpn.

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“…In order to understand how our double-gated nanohelix system interacts with electromagnetic radiation, we study the inter-subband momentum operator matrix element , which is proportional to the corresponding transition dipole moment, and dictates the transition rate between subbands ψ f and ψ g . Here, is the projection of the radiation polarization vector onto the coordinate axes ( j = x,y , z ) and the respective self-adjoint momentum operators are [44, 45, 82–84] …”

Section: Resultsmentioning

confidence: 99%

Double-Gated Nanohelix as a Novel Tunable Binary Superlattice

Collier

Portnoi

2019

Nanoscale Res Lett

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We theoretically investigate the problem of an electron confined to a nanohelix between two parallel gates modelled as charged wires. The double-gated nanohelix system is a binary superlattice with properties highly sensitive to the gate voltages. In particular, the band structure exhibits energy band crossings for certain combinations of gate voltages, which could lead to quasi-relativistic Dirac-like phenomena. Our analysis for optical transitions induced by linearly and circularly polarized light suggests that a double-gated nanohelix can be used for versatile optoelectronic applications.

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“…2). Type (iv) signals are more exotic but apparently they can also occur in the context of magnetic effects beyond the electric-dipole approximation, 35,36 where to the best of our knowledge they remain to be confirmed by experiment. As we will show next, photoionization may prove to be a better candidate for experimentally measuring type (iv) signals.…”

Section: ω–2ω Cross Polarized Fieldmentioning

confidence: 87%