Electronic transport and shot noise in Thue-Morse sequence graphene superlattice

Abstract

The transport properties and shot noise in Thue-Morse (TM) sequence graphene superlattice are investigated using transfer matrix methods. The results indicate perfect transport with T = 1 is always obtained at normal incidence when incident electrons tunnel through different barrier widths and heights. The zero-k¯-gap and other Bragg gap exhibit different behavior as the barrier width or incident angle increases. Furthermore, the changing of the structure parameters and generation of the TM sequence has a great effect on transmission coefficient, conductance, and Fano factor. It is shown that the Fano factor has a maximum close to 1/3 in the vicinity of Dirac point, which result in robust electronic transport properties.

Self-similar transmission properties of aperiodic Cantor potentials in gapped graphene

“…7 In this sense, since the discovery of graphene 8-10 researchers have begun to deal with aperiodic structures based on this prominent material. [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] For instance, the Fibonacci sequence is studied in monolayer 11 and bilayer 12 graphene superlattices. In particular, a striking selfsimilar behaviour is reported for different generations number of the aperiodic sequence, 11 it is also found that the transmission spectra are fragmented, and even more appear in groups and the low-energy conductance is considerably amending.…”

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

“…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.…”

“…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.…”

Wide-Angle and Ultra-Wideband Absorption in One-Dimensional Superconductor Photonic Crystals With Quasi-Periodic Sequences

“…Subsequently, the plenty of quasi-crystal sequences (QPS) begin to spring up. And the most typical models are Thue-Morse sequence [6]- [8] and CLS [9], [10] sequence. Due to their peculiar optical properties, like self-similarity [11], [12] The associate editor coordinating the review of this manuscript and approving it for publication was Sukhdev Roy.…”