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We obtain an analytical expression for the Hall conductivity in AAA-stacked trilayer graphene (TLG) within the linear response Kubo formalism. Interestingly, we find that the quantization of the Hall conductivity is severely dependent on…

Mesoscale and Nanoscale Physics · Physics 2021-04-20 Yawar Mohammadi

A systematic review is made for the AA-, AB- and ABC-stacked graphites. The generalized tight-binding model, accompanied with the effective-mass approximation and the Kubo formula, is developed to investigate electronic and optical…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Chiun-Yan Lin , Rong-Bin Chen , Yen-Hung Ho , Ming-Fa Lin

The effect due to doping by B, Si, N on the magneto-transport properties of graphene is investigated using the generalized tight-binding model in conjunction with the Kubo formula. The crucial electronic and transport properties are greatly…

Computational Physics · Physics 2019-07-23 Po-Hsin Shih , Thi-Nga Do , Godfrey Gumbs , Danhong Huang , Ming-Fa Lin

We report markedly different transport properties of ABA- and ABC-stacked trilayer graphenes. Our experiments in double-gated trilayer devices provide evidence that a perpendicular electric field opens an energy gap in the ABC trilayer,…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 S. H. Jhang , M. F. Craciun , S. Schmidmeier , S. Tokumitsu , S. Russo , M. Yamamoto , Y. Skourski , J. Wosnitza , S. Tarucha , J. Eroms , C. Strunk

The electronic properties and optical excitations are investigated in the geometry- and field-modulated bilayer graphene systems, respectively, by using the tight-binding model and Kubo formula. The stacking symmetry of bilayer graphene can…

Mesoscale and Nanoscale Physics · Physics 2019-07-23 Chiun-Yan Lin , Ming-Fa Lin

In a multi-layer electronic system, stacking order provides a rarely-explored degree of freedom for tuning its electronic properties. Here we demonstrate the dramatically different transport properties in trilayer graphene (TLG) with…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 W. Bao , L. Jing , Y. Lee , J. Velasco , P. Kratz , D. Tran , B. Standley , M. Aykol , S. B. Cronin , D. Smirnov , M. Koshino , E. McCann , M. Bockrath , C. N. Lau

We study interlayer transport of multilayer graphenes in magnetic field with various stacking structures (AB, ABC, and AA types) by calculating the Hall and longitudinal conductivities as functions of Fermi energy. Their behavior depends…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Takeo Wakutsu , Masaaki Nakamura , Balázs Dóra

Essential properties of multilayer graphenes are diversified by the number of layers and the stacking configurations. For an $N$-layer system, Landau levels are divided into $N$ groups, with each identified by a dominant sublattice…

Computational Physics · Physics 2015-06-23 Chiun-Yan Lin , Jhao-Ying Wu , Yih-Jon Ou , Yu-Huang Chiu , Ming-Fa Lin

The magneto-transport properties of phosphorene are investigated by employing the generalized tight-binding model to calculate the energy bands. For bilayer phosphorene, a composite magnetic and electric field is shown to induce a…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 Jhao-Ying Wu , Wu-Pei Su , Godfrey Gumbs

Using the well-known Kubo formula, we evaluate magnetotransport quantities like the collisional and Hall conductivities of the $\alpha$-T$_3$ model. The collisional conductivity exhibits a series of peaks at strong magnetic field. Each of…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Tutul Biswas , Tarun Kanti Ghosh

Magneto-transport experiments on ABC-stacked suspended trilayer graphene reveal a complete splitting of the twelve-fold degenerated lowest Landau level, and, in particular, the opening of an exchange-driven gap at the charge neutrality…

Mesoscale and Nanoscale Physics · Physics 2013-11-25 H. J. van Elferen , A. Veligura , N. Tombros , E. V. Kurganova , B. J. van Wees , J. C. Maan , U. Zeitler

We discuss the quantum Hall effect of bilayer graphene with finite gate voltage where the Fermi energy exceeds the interlayer hopping energy. We calculated magnetic susceptibility, diagonal and off-diagonal conductivities in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Masaaki Nakamura , Lila Hirasawa , Ken-Ichiro Imura

The electronic structure of multilayer graphenes depends strongly on the number of layers as well as the stacking order. Here we explore the electronic transport of purely ABA-stacked trilayer graphenes in a dual-gated field-effect device…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 E. A. Henriksen , D. Nandi , J. P. Eisenstein

Recent experiments indicate that AA-stacked bilayer graphenes (BLG) could exist. Since the energy bands of the AA-stacked BLG are different from both the monolayer and AB-stacked bilayer graphenes, different integer quantum Hall effect in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Ya-Fen Hsu , Guang-Yu Guo

The diverse quantization phenomena in 2D condensed-matter systems, being due to a uniform perpendicular magnetic field and the geometry-created lattice symmetries, are the focuses of this book. They cover the diversified magneto-electronic…

Computational Physics · Physics 2019-05-09 Chiun-Yan Lin , Thi-Nga Do , Jhao-Ying Wu , Po-Hsin Shih , Shih-Yang Lin , Ching-Hong Ho , Ming-Fa Lin

Graphene multilayers exhibit electronic spectra that depend sensitively on both the number of layers and their stacking order. Beyond trilayer graphene, mixed stacking sequences (alternating Bernal and rhombohedral layers) give rise to…

We investigate bilayer graphene systems with layer switching domain walls separating the two energetically equivalent Bernal stackings in the presence of an external magnetic field. To this end we calculate quantum transport and local…

Materials Science · Physics 2021-04-28 N. S. Bassler , K. P. Schmidt

The generalized tight-binding model, based on the subenvelope functions of distinct sublattices, is developed to investigate the magnetic quantization in sliding bilayer graphenes. The relative shift of two graphene layers induces a…

Materials Science · Physics 2016-11-18 Yao-Kung Huang , Szu-Chao Chen , Yen-Hung Ho , Chiun-Yan Lin , Ming-Fa Lin

We identify qualitative trends in the stacking sequence dependence of carrier-carrier interaction phenomena in multilayer graphene. Our theory is based on a new approach which explicitly exhibits the important role in interaction phenomena…

Mesoscale and Nanoscale Physics · Physics 2016-09-30 Yunsu Jang , E. H. Hwang , A. H. MacDonald , Hongki Min

The lower-symmetry trilayer AAB-stacked graphene exhibits rich electronic properties and thus diverse Coulomb excitations. Three pairs of unusual valence and conduction bands create nine available interband excitations for the undoped case,…

Materials Science · Physics 2018-12-05 Chiun-Yan Lin , Bor-Luen Huang , Godfrey Gumbs , Ming-Fa Lin
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