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Absence of effects of an in-plane magnetic field in a quasi-two-dimensional electron system

F. T. Brandt

Instituto de Física, Universidade de São Paulo, São Paulo, SP 05508-090, Brazil

E-mail Address: fbrandt@usp.br

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and

J. A. Sánchez-Monroy

Instituto de Física, Universidade de São Paulo, São Paulo, SP 05508-090, Brazil

E-mail Address: antosan@usp.br

Corresponding author.

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https://doi.org/10.1142/S0217979218500832Cited by:3 (Source: Crossref)

Abstract

The dynamics of a quasi-two-dimensional electron system (q2DES) in the presence of a tilted magnetic field is reconsidered employing the thin-layer method. We derive the effective equations for relativistic and nonrelativistic q2DESs. Through a perturbative expansion, we show that while the magnetic length is much greater than the confinement width, the in-plane magnetic field only affects the particle dynamics through the spin. Therefore, effects due to an in-plane magnetic vector potential reported previously in the literature for 2D quantum rings, 2D quantum dots and graphene are fictitious. In particular, the so-called pseudo chiral magnetic effect recently proposed in graphene is not realistic.

Keywords:

PACS: 72.80.Vp, 73.20.-r, 75.70.-i

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