Resonant tunnelling in a Fibonacci bilayer graphene superlattice

Mukhopadhyay, S.; Biswas, Rudro R.; Sinha, Chittaranjan

doi:10.1002/pssb.200945489

Cited by 35 publications

(24 citation statements)

References 28 publications

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“…Motivated by the experimental realization of graphene superlattice (GSL) [10][11][12], electronic bandgap structures and transport properties in GSLs with electrostatic potential and magnetic barrier have been extensively investigated [13][14][15][16][17][18][19][20][21][22], since the conventional semiconductor superlattices are successful in controlling the electronic structures and the extension to graphene may give rise to different features and applications. For instance, DP appears in the GSL [14,15], and it is exactly located at the energy with the zero-k gap [17].…”

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Electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice

Zhao

Chen

2011

Applied Physics Letters

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We investigate electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice. It is found that such structure can possess a zero-k gap which exists in all Fibonacci sequences. Different from Bragg gap, zero-k gap associated with Dirac point is less sensitive to the incidence angle and lattice constants. The defect mode appeared inside the zero-k gap has a great effect on transmission, conductance and shot noise, which can be applicable to control the electron transport.Graphene, a monolayer of carbon atoms tightly packed into a honeycomb lattice, has attracted great interest in graphene-based nanoelectronic and optoelectronic devices [1], since it was fabricated by Novoselov and Geim et al. in 2004 [2]. In graphene, the unique band structure with the valance and conduction bands touching at Dirac point (DP) leads to the fact that electrons around the Fermi level can be described as the massless relativistic Dirac electrons, resulting in the linear energy dispersion relation. As a consequence, there are a great number of electronic properties, such as the half-integer quantum Hall effect [3][4][5], the minimum conductivity [3], and Klein tunneling [6]. In particular, Klein tunneling and perfect transmission are crucial for electron transport in various graphene heterostructures [7], i.e. single barrier [8] and n-p-n junctions [9].Motivated by the experimental realization of graphene superlattice (GSL) [10][11][12], electronic bandgap structures and transport properties in GSLs with electrostatic potential and magnetic barrier have been extensively investigated [13][14][15][16][17][18][19][20][21][22], since the conventional semiconductor superlattices are successful in controlling the electronic structures and the extension to graphene may give rise to different features and applications. For instance, DP appears in the GSL [14,15], and it is exactly located at the energy with the zero-k gap [17]. Interestingly, the zero-k gap associated with DP is insensitive to the lattice parameter changes in contrast with the behavior exhibited by Bragg gaps [17]. This gap is analogous to photonic zero-n gap in the photonic crystals containing negativeindex and positive-index materials [20], and originates from a zero total phase [23]. Accordingly, the zero-k gap is robust against the lattice constants, structural disorder [17], and external magnetic field [18], and thus is better to control the electron transport in GSL.In this Letter, we will investigate electronic band gap and transport in Fibonacci quasi-periodic GSLs in the fashion analogous to photonic crystal with metamaterials [23][24][25]. As we know, the quasi-periodic GSL is classified as intermediate between ordered and disordered systems [19,20], which has significant and common features like fractal spectrum and self-similar behavior [21,22]. How- * Corresponding author. Email: xchen@shu.edu.cn ever, what we concentrate on here is the electronic band gap and DP in such quasi-periodic system. We find that zero-k gap happens in all Fibonacci...

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“…As we know, the quasi-periodic GSL is classified as intermediate between ordered and disordered systems [19,20], which has significant and common features like fractal spectrum and self-similar behavior [21,22]. How- * Corresponding author.…”

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Electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice

Zhao

Chen

2011

Applied Physics Letters

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“…All these studies focus primarily on monolayer graphene, and the preferred mechanism to create the quasi-periodic pattern has been the electrostatic field effect. So far, the quasi-periodic patterns studied in graphene have been Cantor [33][34][35], Fibonacci [36][37][38][39][40], Thue-Morse [41][42][43][44][45][46][47], Double-Period [48] and Gaussian [49,50]. One of the most remarkable characteristics of quasi-periodic patterns in graphene, regardless of the quasi-periodic sequence used, is a zero-gap associated to an unusual Dirac point.…”

Section: Introductionmentioning

confidence: 99%

“…So, by considering the importance of the quasi-periodic modulation, from both the fundamental and technological standpoints, it seems natural that it be an extension for any novel material. To this respect graphene is not the exception, and in the last years the interest in aperiodic or quasi-periodic modulation in graphene is rising [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. All these studies focus primarily on monolayer graphene, and the preferred mechanism to create the quasi-periodic pattern has been the electrostatic field effect.…”

Section: Introductionmentioning

confidence: 99%

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

García-Cervantes

Madrigal-Melchor

Martı́nez-Orozco

et al. 2015

Physica B: Condensed Matter

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“…Also, the transmission coefficient and the angularly averaged conductance in a Fibonacci BG superlattice have been investigated in detail. 22 It is shown that the transmission spectra are fragmented and appear in groups due to the quasi-periodicity of the system. Using the four-band Hamiltonian as well as the two-band Hamiltonian, Barbier et al 23 have studied the dispersion relation and the density of states in a BG superlattice with a periodic potential applied to the both layers and found that the dispersion relation shows a finite gap for carriers with zero momentum in the direction parallel to the barriers.…”

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Electronic transport and shot noise in a Thue–Morse bilayer graphene superlattice with interlayer potential bias

Zhang

Liu

2016

Mod. Phys. Lett. B

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In this paper, we evaluate the transport properties of a Thue-Morse AB-stacked bilayer graphene superlattice with different interlayer potential biases. Based on the transfer matrix method, the transmission coefficient, the conductance, and the Fano factor are numerically calculated and discussed. We find that the symmetry of the transmission coefficient with respect to normal incidence depends on the structural symmetry of the system and the new transmission peak appears in the energy band gap opening region. The conductance and the Fano factor can be greatly modulated not only by the Fermi energy and the interlayer potential bias but also by the generation number. Interestingly, the conductance exhibits the plateau of almost zero conductance and the Fano factor plateaus with Poisson value occur in the energy band gap opening region for large interlayer potential bias.quantum Hall effect, 6 the Klein paradox, 7 the ballistic charge transport, 8 and the special Andreev reflection. 9,10 Natural bilayer graphene (BG) can be formed by two coupled graphene monolayers in the usual AB (or Bernal) stacking. 11,12 In contrast to the charge carriers in the monolayer graphene, the low-energy excitations in the BG behave as massive chiral Fermions with a finite density of states at zero energy and possess a parabolic dispersion close to the Dirac points. This leads to some different transport properties from those in the monolayer graphene, including the new type of integer quantum Hall effect, 3 the perfect reflection instead of the perfect transmission, 4 and the different Berry phase factor of 2π instead of π. 3,13 Also, the controllable energy band gap is an intriguing feature of the BG. It has been shown that a tunable interlayer potential bias, which can be induced by applying the external electric field vertically to the graphene sheet or by attaching some materials on one of the layers, can open a sizable energy band gap with values larger than 200 meV between the valence and conduction bands and can strongly modify the energy bands of the BG. 14-19 Therefore, the electrical conduction can be fully switched off by tuning the gate voltage, which is necessary for applications in nanoelectronics.Since superlattices are very successful in controlling the electronic band structures of many conventional semiconducting materials, 20 the electronic transport in BG superlattices has attracted much attention. 21-25 Bai and Zhang 21 have studied the transport properties of charge carriers through a BG superlattice by using the transfer matrix method based on the two-band Hamiltonian and found that the transmission of the BG superlattice system exhibits similar properties to those in the semiconductor superlattice, and the angularly averaged conductance can be controlled by changing the structure parameters even if Klein tunneling exists. Also, the transmission coefficient and the angularly averaged conductance in a Fibonacci BG superlattice have been investigated in detail. 22 It is shown that the transmission spectra are frag...

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Resonant tunnelling in a Fibonacci bilayer graphene superlattice

Cited by 35 publications

References 28 publications

Electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice

Electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice

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

Electronic transport and shot noise in a Thue–Morse bilayer graphene superlattice with interlayer potential bias

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