Fibonacci quasiregular graphene-based superlattices: Quasiperiodicity and its effects on the transmission, transport and electronic structure properties

García-Cervantes, Heraclio; Madrigal-Melchor, J.; Martı́nez-Orozco, J.C.; Rodrı́guez-Vargas, I.

doi:10.1016/j.physb.2015.09.009

Cited by 14 publications

(4 citation statements)

References 67 publications

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“…By imposing continuity of the wave function and conservation of the transverse momentum

q_{y} = k_{y}

at the boundaries, we can obtain the transfer matrix M of the structure [ 26,27 ]

M = {boldM}_{I_{L}} {boldM}_{B_{1}} {boldM}_{normalW} {boldM}_{B_{2}} {boldM}_{I_{R}}

with

{boldM}_{I_{L}}

and

{boldM}_{I_{R}}

the transfer matrices associated with the left and right semi‐infinite regions,

{boldM}_{normalW}

with the well and

{boldM}_{B_{1}}

and

{boldM}_{B_{2}}

with the thin and wide barrier, respectively. These matrices depend on the so‐called dynamic and propagation matrices

{boldD}_{j}

and

{boldP}_{j}

[ 28,29 ]

\begin{matrix} left \\ {boldM}_{I_{L}} = ({boldD}_{I_{L}})^{- 1} \\ {boldM}_{B_{1}} = ({boldD}_{B_{1}})^{- 1} {boldP}_{B_{1}} {boldD}_{B_{1}} \\ {boldM}_{normalW} = ({boldD}_{normalW})^{- 1} {boldP}_{normalW} {boldD}_{normalW} \\ {boldM}_{} \end{matrix}

…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Doorway States in a Graphene Structure

Carrillo

Monsiváis

Flores

2021

Physica Status Solidi (b)

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“…By imposing continuity of the wave function and conservation of the transverse momentum

q_{y} = k_{y}

at the boundaries, we can obtain the transfer matrix M of the structure [ 26,27 ]

M = {boldM}_{I_{L}} {boldM}_{B_{1}} {boldM}_{normalW} {boldM}_{B_{2}} {boldM}_{I_{R}}

with

{boldM}_{I_{L}}

and

{boldM}_{I_{R}}

the transfer matrices associated with the left and right semi‐infinite regions,

{boldM}_{normalW}

with the well and

{boldM}_{B_{1}}

and

{boldM}_{B_{2}}

with the thin and wide barrier, respectively. These matrices depend on the so‐called dynamic and propagation matrices

{boldD}_{j}

and

{boldP}_{j}

[ 28,29 ]

\begin{matrix} left \\ {boldM}_{I_{L}} = ({boldD}_{I_{L}})^{- 1} \\ {boldM}_{B_{1}} = ({boldD}_{B_{1}})^{- 1} {boldP}_{B_{1}} {boldD}_{B_{1}} \\ {boldM}_{normalW} = ({boldD}_{normalW})^{- 1} {boldP}_{normalW} {boldD}_{normalW} \\ {boldM}_{} \end{matrix}

…”

Section: Methodsmentioning

confidence: 99%

“…with M I L and M I R the transfer matrices associated with the left and right semi-infinite regions, M W with the well and M B 1 and M B 2 with the thin and wide barrier, respectively. These matrices depend on the so-called dynamic and propagation matrices D j and P j [28,29] M…”

Section: Deceased On 19 November 2020mentioning

confidence: 99%

Analysis of Doorway States in a Graphene Structure

Carrillo

Monsiváis

Flores

2021

Physica Status Solidi (b)

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show abstract

Section: Model and Methodsmentioning

confidence: 99%

Analysis of doorway states in a graphene structure

Carrillo,

Flores,

Monsivais

2020

Preprint

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Doorway states, which are related to the strength function phenomenon and giant resonances, arise when two systems interact, one with a high density eigenvalue spectrum and the other with a comparatively low density. These concepts, first studied in nuclear physics in the 40's, are here analyzed from a theoretical point of view in special and simple graphene structures, obtained after applying appropriate voltages to a graphene sheet. The influence of the doorway states on the electronic transport in these systems is also studied.To analyze these effects we consider a two-dimensional model of two potential barriers of equal height but very different widths separated by a well.

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“…[5][6][7][8][9][10][11] So far a variety of such potential sequences, e.g. Fibonacci, 12,13) Thur-Morse, 14) Kronig-Penney, 8,9) and muffin-tin like 8) have been designed and transport properties are studied with theoretical as well as experimental methods. Klein tunneling has been observed in a one-dimensional rectangular shaped potential barrier.…”

mentioning

confidence: 99%

Asymmetric tunneling properties in a 2D anisotropic massless linear energy system

Yang

Wieser

et al. 2019

Appl. Phys. Express

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With the aid of the transfer matrix method, the carrier tunneling properties in a two-dimensional (2D) structure with an anisotropic linear energy dispersion are investigated. Several factors, the barrier structure, the incident energy, and the incident angle can be applied to modify the transmission characteristics. An impressive fact is that the anisotropic parameter and different potential directions can be used to tune the Klein tunneling. Therefore, the features of the normal incident transmission and the controllable side resonance transmission peaks can enrich the transport properties in a 2D system and are useful for the designing and utilization of electronic devices.

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Fibonacci quasiregular graphene-based superlattices: Quasiperiodicity and its effects on the transmission, transport and electronic structure properties

Cited by 14 publications

References 67 publications

Analysis of Doorway States in a Graphene Structure

Analysis of Doorway States in a Graphene Structure

Analysis of doorway states in a graphene structure

Asymmetric tunneling properties in a 2D anisotropic massless linear energy system

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