Landauer-Büttiker conductivity for spatially-dependent uniaxial strained armchair-terminated graphene nanoribbons

Espinosa-Champo, Abdiel; Roman‐Taboada, Pedro; Naumis, Gerardo G.

doi:10.1016/j.physe.2018.05.001

Cited by 9 publications

(5 citation statements)

References 32 publications

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“…Those folds feature bands originating from a mass term in the Dirac equation [91]. Calculations using the Dirac equation in a continuum and including strain were consistent with measured bound state energies, and predicted valleypolarised currents [84], opening an avenue for graphene folds as straintronic quantum wires [92,93].…”

Section: Cut and Folded Graphene: Sublattice And Valley Polarisationsupporting

confidence: 56%

Mechanical, electronic, optical, piezoelectric and ferroic properties of strained graphene and other strained monolayers and multilayers: an update

Naumis,

Herrera,

Poudel

et al. 2023

Rep. Prog. Phys.

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This is an update of a previous review on the subject \cite{Naumis_2017}. Experimental and theoretical advances for straining graphene and other metallic, insulating, ferroelectric, ferroelastic, ferromagnetic and multiferroic 2D materials have been considered. Specific topics of discussion include: (i) methods to induce valley and sublattice polarisation ($\mathbf{P}$) in graphene, (ii) time-dependent strain and its impact on graphene's electronic properties, (iii) the role of local and global strain on superconductivity and other highly correlated and/or topological phases of graphene, inducing polarisation $\mathbf{P}$ on hexagonal boron nitride monolayers {\it via} strain, (iv) measuring strain, and modifying through strain the optoelectronic properties of transition metal dichalcogenides, (v) ferroic 2D materials with intrinsic elastic ($\sigma$), electric ($\mathbf{P}$) and magnetic ($\mathbf{M}$) polarisation under strain, as well as incipient 2D multiferroics and (vi) moir'e bilayers exhibiting flat electronic bands and exotic quantum phase diagrams, and other bilayer or few-layer systems exhibiting ferroic orders tunable by rotations and shear strain. The review features the extremely recent experimental realizations of a tunable two-dimensional Quantum Spin Hall effect in germanene, of monoelemental 2D ferroelectric bismuth, and 2D multiferroic NiI$_2$. The document was structured for a discussion of effects taking place in monolayers first, followed by discussions concerning bilayers and few-layers, and it represents a fresh and up-to-date overview of exciting and newest developments on the fast-paced field of 2D materials.

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Section: Cut and Folded Graphene: Sublattice And Valley Polarisationsupporting

confidence: 56%

Mechanical, electronic, optical, piezoelectric and ferroic properties of strained graphene and other strained monolayers and multilayers: an update

Naumis,

Herrera,

Poudel

et al. 2023

Rep. Prog. Phys.

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Section: Introductionmentioning

confidence: 84%

“…A tight binding-model of 8 − P mmn borophene has been recently developed [12,13] and an effective low-energy Hamiltonian in the vicinity of Dirac points was proposed on symmetry consideration. Pseudomagnetic fields were also predicted similar to those in strained graphene [4,[14][15][16][17] and its relationship with electronic [18,19] and optical conductivity [20,21]. plasmon dispersion and screening properties by calculating the density-density response function [22], the optical conductivity [23], Weiss oscillations [24] and oblique Klein tunneling [25].…”

Section: Introductionmentioning

confidence: 99%

Metal-insulator transition in 8−Pmmn borophene under normal incidence of electromagnetic radiation

Espinosa-Champo

Naumis

2019

Phys. Rev. B

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The energy spectrum for the problem of 8−P mmn borophene's electronic carriers under perpendicular incidence of electromagnetic waves is studied without the use of any perturbative technique.This allows to study the effects of very strong fields. To obtain the spectrum and wavefunctions, the time-dependent Dirac equation is solved by using a frame moving with the space-time cone of the wave, i.e., by transforming the equation into an ordinary differential equation in terms of the wave-phase, leading to an electron-wave quasiparticle. The limiting case of strong fields is thus analyzed.The resulting eigenfunctions obey a generalized Mathieu equation,i.e., of a classical parametric pendulum. The energy spectrum presents bands, and a gap at the Fermi energy. The gaps are due to the space-time diffraction of electrons in phase with the electromagnetic field, i.e., electrons in borophene acquire an effective mass under strong electromagnetic radiation

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“…The solution to the problem of finding a model with parameters that reproduce a given electronic structure (eigenvalues) is not unique, adding an important challenge to the task. In addition, tight-binding models are of great importance for the computation of demanding tasks, such as quantum or mesoscopic transport, − Raman spectroscopy, and time-resolved photoexcitation processes …”

Section: Introductionmentioning

confidence: 99%

Toward an Accurate Tight-Binding Model of Graphene’s Electronic Properties under Strain

2018

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In this work, the effect of strain on the electronic structure of graphene modeled by several singleorbital third-nearest-neighbors tight-binding models is examined. The Hasegawa et al. conditions for gap opening in graphene under uniform tensile strain are revised to include up to third-nearest-neighbor interactions using parameters available in the literature. A comparison with ab initio density functional theory (DFT) calculations shows discrepancies. Based on the DFT calculations and through the projection of the Kohn−Sham wavefunctions into localized orbitals, the disagreement is explained by an angular dependence of the second-and third-nearest-neighbors tight-binding parameters.

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Landauer-Büttiker conductivity for spatially-dependent uniaxial strained armchair-terminated graphene nanoribbons

Cited by 9 publications

References 32 publications

Mechanical, electronic, optical, piezoelectric and ferroic properties of strained graphene and other strained monolayers and multilayers: an update

Mechanical, electronic, optical, piezoelectric and ferroic properties of strained graphene and other strained monolayers and multilayers: an update

Metal-insulator transition in 8−Pmmn borophene under normal incidence of electromagnetic radiation

Toward an Accurate Tight-Binding Model of Graphene’s Electronic Properties under Strain

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