Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures

Oliva-Leyva, M.; Vargas, José Eduardo Barrios; Cruz, G. González de la

doi:10.1103/physrevb.102.035447

Cited by 20 publications

(13 citation statements)

References 77 publications

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“…( 2) is obtained by an expansion around the points of the Brillouin zone, K + or K − , respectively (see fig. It is worth noting that in addition to the uniform pseudomagnetic field, the hopping variation (1) also induces a position-dependent Fermi velocity whose anisotropic character can be captured by the tensor [45] ↔…”

Section: The Modelmentioning

confidence: 99%

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Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices

Díaz-Bautista,

Oliva-Leyva

2021

Preprint

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Dirac fermions in graphene may experiment dispersive pseudo-Landau levels due to a homogeneous pseudomagnetic field and a position-dependent Fermi velocity induced by strain. In this paper, we study the (semi-classical) dynamics of these particles under such a physical context from an approach of coherent states. For this purpose we use a Landau-like gauge to built Perelomov coherent states by the action of a non-unitary displacement operator D(α) on the fundamental state of the system. We analyze the time evolution of the probability density and the generalized uncertainty principle as well as the Wigner function for the coherent states. Our results show how x-momentum dependency affects the motion periodicity and the Wigner function shape in phase space.

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Section: The Modelmentioning

confidence: 99%

“…dependent on the wave vector. Such dispersive behavior of the pseudo-Landau-levels in strained graphene has been explained in terms of a position-dependent Fermi velocity [44,45], which is also another known effect induced by nonuniform strains [46,47].…”

Section: Introductionmentioning

confidence: 99%

Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices

Díaz-Bautista,

Oliva-Leyva

2021

Preprint

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“…The idea of spatially varying Fermi velocity has also attracted attentions after a gap formation was noticed in graphene physics [22]. In a recent study, it was shown that, for definite spatial dependencies of Fermi velocity, Dirac particles experience an effective magnetic field in a nonuniform honeycomb lattice [23,24]. It bears mention that the implementation of spatially varying Fermi velocity in the Dirac equation was initially suggested by Downing and Portnoi in [25] to enquire how coordinate fluctuations of the Fermi velocity can lead to localization effects in graphene.…”

Section: Introductionmentioning

confidence: 99%

Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity

Ghosh¹

2022

Preprint

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We present a new approach to study a class of non-Hermitian (1+1)dimensional Dirac Hamiltonian in the presence of local Fermi velocity. We apply the well known Nikiforov-Uvarov method to solve such a system. We discuss applications and explore the solvability of both PT -symmetric and non-PT symmetric classes of potentials. In the former case we obtain the solution of a harmonic oscillator in the presence of a linear vector potential while in the latter case we solve the shifted harmonic oscillator problem.

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“…The non-uniform strain which induced spatially dependent Fermi velocity can help us localize the Dirac electron by forming bound states [40,46,47]. Similar to the pseudomagnetic field, the position-dependent Fermi velocity also manipulates transport property of Dirac electron in magnetic field [48] or magnetic superlattice [49].…”

Section: Introductionmentioning

confidence: 99%

Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems

Phan,

2021

Preprint

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In recent years, graphene and other two-dimensional Dirac materials like silicene, germanene, etc. have been studied from different points of view: from mathematical physics, condensed matter physics to high energy physics. In this study, we utilize both supersymmetric quantum mechanics (SUSY-QM) and transfer matrix method (TTM) to examine electronic transport in two-dimensional Dirac materials under the influences of multi-step deformation as well as multistep Fermi velocity barrier. The effects of multi-step effective mass and multi-step applied fields are also taken into account in our investigation. Results show the possibility of modulating the Klein tunneling of Dirac electron by using strain or electric field.

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Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures

Cited by 20 publications

References 77 publications

Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices

Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices

Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity

Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems

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