Effect of symmetry on the electronic properties of arbitrarily shaped quantum rings in a magnetic field

Dahan, P.; Malits, P.

doi:10.1016/j.physe.2013.08.031

Cited by 4 publications

(2 citation statements)

References 25 publications

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“…As shown in Figure 7, point 1 in the figure corresponds to graph (a) of the partial charge density map, and point 2 corresponds to graph (b), and so on. It can be seen from the overall charge density map that the charge densities of (a), (f), (g), and Further, it is assumed that if nodal rings do exist, it should be possible to observe more intersections throughout the BZ in terms of symmetry effects [27]. Scilicet, a complete elliptic Dirac nodal line (DNL) [28] should exist near point Γ in the Brillouin belt.…”

Section: Electronic Propertiesmentioning

confidence: 99%

Strain-Tuned Nodal Ring in Two-Dimensional Zn₃C₆S₆ Monolayers

Zong

Zhang

et al. 2020

Journal of Nanomaterials

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The nodal ring material has recently attracted wide attention due to its singular properties and potential applications in spintronics. Here, two-dimensional Zn3C6S6 is calculated and discussed by using first-principle calculations. We found that two-dimensional Zn3C6S6 can generate a nodal ring at 10% compressive strain, and the existence of the ring is proved by a partial charge density map. And as the compressive strain increases, the nodal ring does not disappear. At the same time, the stability of the electron-orbit coupling to the nodal ring is applied. Our findings indicate that the two-dimensional Zn3C6S6 is promising in new electronic and spintronic applications.

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Section: Electronic Propertiesmentioning

confidence: 99%

Strain-Tuned Nodal Ring in Two-Dimensional Zn₃C₆S₆ Monolayers

Zong

Zhang

et al. 2020

Journal of Nanomaterials

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“…. (2.33) 6 We must take care that g 1/2 and ∂ ϕ do not commute to avoid erroneous conclusions [100][101][102]. In an arbitrary C n RQR there are n petal-shaped curves.…”

Section: Symmetric Deformationsmentioning

confidence: 99%

Teoria quântica em uma subvariedade: Efeitos clássicos, quânticos e térmicos

Monroy¹

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The problem of how to describe the effective dynamics of particles or fields confined to a lower dimensional curved space-time is of interest in many areas of physics. In the literature, several methods have been proposed to attack this problem. Recently it has been reported some experimental evidences that are consistent with the so-called confining potential approach. In light of these results, the purpose of this thesis is to construct a quantum theory for particles confined in a submanifold of a flat space-time employing the theoretical framework of the confining potential approach. The thesis is divided into two parts. The first one is dedicated exclusively to the study of quantum mechanics on a submanifold. For this purpose, we derive the effective Schrödinger, Dirac and Klein-Gordon equations on a curved submanifold, in the presence of an external electromagnetic field. We examine the singular features of these equations and present some applications to condensed matter. In the second part of this thesis, we start from the quantum mechanics on the submanifold and then we formulate the quantum field theory (QFT) on the submanifold. We will show that the "free" QFT on a submanifold can be schematically represented as a quantum theory of free fields on a curved background plus a scalar potential and an external SO(n − m) Yang-Mills field. For this theory, we compute the one-loop effective action for scalars and fermions at finite temperature and chemical potential to all orders using the Seely-DeWitt expansion. For interacting theories, we will prove that the theory known as reduced quantum electrodynamics (RQED dγ ,de) can be recovered from the confining potential approach. For a two-dimensional theory, we propose a large class of extensions of the Schwinger model, in which the interaction between fermions goes beyond the linear potential. We demonstrate that, remarkably, these extensions are exactly solvable for massless fermions and that there is no dynamical mass generation for the fermions. Furthermore, we construct a new family of exactly bosonized theories. We also show that RQED 4,2 has the necessary features to be identified as an effective field theory for graphene wires. Finally, we study the effect of an interplay of real and pseudomagnetic fields in graphene. We compute the fermion condensate, the induced vacuum charge density, the one-loop effective action and the magnetization, for this system. We will show that the presence of a non-zero pseudomagnetic field makes it possible, experimentally, to observe an induced vacuum charge density. Moreover, we will show that it is possible to have control over the magnetization as well as the dynamical mass for each valley in graphene, by straining or varying the applied magnetic field.

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