Dispersionless wave packets in Dirac materials

Jakubský, Vít; Tušek, Matěj

doi:10.1016/j.aop.2017.01.016

Cited by 12 publications

(17 citation statements)

References 40 publications

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“…As a conse-quence, plenty of new sets of coherent states can be generated; some of them could be more useful than others for describing interesting physical phenomena in graphene and other carbon allotropes (see e.g. [37,38,39]). …”

Section: Discussionmentioning

confidence: 99%

Graphene coherent states

Díaz-Bautista

2017

Eur. Phys. J. Plus

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In this paper we will construct the coherent states for a Dirac electron in graphene placed in a constant homogeneous magnetic field which is orthogonal to the graphene surface. First of all, we will identify the appropriate annihilation and creation operators. Then, we will derive the coherent states as eigenstates of the annihilation operator, with complex eigenvalues. Several physical quantities, as the Heisenberg uncertainty product, probability density and mean energy value, will be as well explored.

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Section: Discussionmentioning

confidence: 99%

Graphene coherent states

Díaz-Bautista

2017

Eur. Phys. J. Plus

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“…It is worth noticing that the construction of the partially dispersionless wave packets is not limited to our model but can be applied to broad class of systems with translational symmetry, see [31] for more details. Examples can be found in the literature where explicit models were solved numerically.…”

Section: Waveguides By Inhomogeneous Unidirectional Strainsmentioning

confidence: 99%

On the propagation of Dirac fermions in graphene with strain-induced inhomogeneous Fermi velocity

Contreras-Astorga

Jakubský

Raya

2020

J. Phys.: Condens. Matter

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We consider systems described by the two-dimensional Dirac equation where the Fermi velocity is inhomogeneous as a consequence of mechanical deformations. We show that the mechanical deformations can lead to deflection and focusing of the wave packets. The analogy with known reflectionless quantum systems is pointed out. Furthermore, with the use of the qualitative spectral analysis, we discuss how inhomogeneous strains can be used to create waveguides for valley polarized transport of partially dispersionless wave packets.arXiv:1912.00675v1 [cond-mat.mes-hall]

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“…Before moving to our analysis, let us recall here a very well known story, as this will help us in the following. Notice that, although we have primarily graphene in mind, many of the following considerations apply also to other two-dimensional crystals, with hexagonal symmetry, including, e.g., silicene, germanene, dichalcogenides and the artificial graphene, among others (see [6,7]).…”

Section: Introductionmentioning

confidence: 99%

(Anti-)de Sitter, Poincaré, Super symmetries, and the two Dirac points of graphene

Iorio

Pais

2018

Annals of Physics

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We propose two different high-energy-theory correspondences with graphene (and related materials) scenarios, associated to grain boundaries, that are topological defects for which both Dirac points are necessary. The first correspondence points to a (3 + 1)-dimensional theory, with nonzero torsion, with spatiotemporal gauge group SO(3, 1), locally isomorphic to the Lorentz group in (3 + 1) dimensions, or to the de Sitter group in (2 + 1) dimensions. The other correspondence treats the two Dirac fields as an internal symmetry doublet, and it is linked here with unconventional supersymmetry with SU (2) internal symmetry. Our results are suggestive, rather than conclusive, and pave the way to the inclusion of grain boundaries in the emergent field theory picture associated with these materials, whereas disclinations and dislocations have been already well explored.

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Dispersionless wave packets in Dirac materials

Cited by 12 publications

References 40 publications

Graphene coherent states

Graphene coherent states

On the propagation of Dirac fermions in graphene with strain-induced inhomogeneous Fermi velocity

(Anti-)de Sitter, Poincaré, Super symmetries, and the two Dirac points of graphene

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