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The generalized tight-binding model is developed to investigate the rich and unique electronic properties of AB-bt (bottom-top) bilayer silicene under uniform perpendicular electric and magnetic fields. The first pair of conduction and…

Materials Science · Physics 2018-03-21 Thi-Nga Do , Po-Hsin Shih , Godfrey Gumbs , Danhong Huang , Chih-Wei Chiu , Ming-Fa Lin

We developed the generalized tight-binding model to study the magneto-electronic properties of AAB-stacked trilayer graphene. Three groups of Landau levels (LLs) are characterized by the dominating subenvelope function on distinct…

Materials Science · Physics 2015-04-02 Thi-Nga Do , Chiun-Yan Lin , Yi-Ping Lin , Po-Hsin Shih , Ming-Fa Lin

The generalized tight-binding model is developed to investigate the magneto-electronic properties in twisted bilayer graphene system. All the interlayer and intralayer atomic interactions are included in the Moire superlattice. The twisted…

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

We explore the rich and unique magnetic quantization of Si-doped graphene defect systems with various concentrations and configurations using the generalized tight-binding model. This model takes into account simultaneously the non-uniform…

Computational Physics · Physics 2018-09-03 P. H. Shih , T. N. Do , B. L. Huang , G. Gumbs , D. Huang , M. F. Lin

The generalized tight-binding model has been developed to thoroughly explore the essential electronic and optical properties of AB-bt bilayer silicene. They are greatly diversified by the buckled structure, stacking configuration,…

Materials Science · Physics 2018-05-03 T. N. Do , P. H. Shih , G. Gumbs , M. F. Lin

Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

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 generalized tight-binding model, being based on the spin-dependent sublattices, is developed to explore the magnetic quantization of monolayer bismuthene. The sp$^{3}$ orbital hybridizations, site energies, nearest and next-nearest…

Materials Science · Physics 2017-09-12 Szu-Chao Chen , Jhao-Ying Wu , Ming-Fa Lin

The rich magneto-electronic properties of AA-bottom-top (bt) bilayer silicene are investigated using a generalized tight-binding model. The electronic structure exhibits two pairs of oscillatory energy bands in which the lowest conduction…

Computational Physics · Physics 2019-05-13 Po-Hsin Shih , Thi-Nga Do , Godfrey Gumbs , Danhong Huang , Hai Duong Pham , Ming-Fa Lin

We observed broken-symmetry quantum Hall effects and level crossings between spin- and valley- resolved Landau levels (LLs) in Bernal stacked trilayer graphene. When the magnetic field was tilted with respect to sample normal from…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Yuta Asakawa , Satoru Masubuchi , Naoko Inoue , Sei Morikawa , Kenji Watanabe , Takashi Taniguchi , Tomoki Machida

We study the Landau quantization of the electronic spectrum for graphene bilayers that are rotationally faulted to produce periodic superlattices. Commensurate twisted bilayers exist in two families distinguished by their sublattice…

Mesoscale and Nanoscale Physics · Physics 2011-10-20 M. Kindermann , E. J. Mele

The magnetoelectronic properties of quasi-one-dimensional zigzag graphene nanoribbons are investigated by using the Peierls tight-binding model. Quasi-Landau levels (QLLs), dispersionless Landau subbands within a certain region of k-space,…

Mesoscale and Nanoscale Physics · Physics 2014-05-19 Hsien-Ching Chung , Po-Hua Yang , To-Sing Li , Ming-Fa Lin

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

We review recent work on superlattices in monolayer and bilayer graphene. We highlight the role of the quasiparticle chirality in generating new Dirac fermion modes with tunable anisotropic velocities in one dimensional (1D) superlattices…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Matthew Killi , Si Wu , Arun Paramekanti

The electronic properties of bilayer graphene strongly depend on relative orientation of the two atomic lattices. Whereas Bernal-stacked graphene is most commonly studied, a rotational mismatch between layers opens up a whole new field of…

Mesoscale and Nanoscale Physics · Physics 2014-12-15 Hennrik Schmidt , Johannes C. Rode , Dmitri Smirnov , Rolf J. Haug

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

A monolayer graphene exists in an environment where a uniform magnetic field interacts a spatially modulated magnetic field. The spatially modulated magnetic field could affect Landau levels due to a uniform magnetic field. The modulation…

Mesoscale and Nanoscale Physics · Physics 2007-08-02 J. H. Ho , Y. H. Lai , Y. H. Chiu , M. F. Lin

The electronic and optical properties of nonuniform bilayer graphene nanoribbons are worth investigating as they exhibit rich magnetic quantization. Based on our numerical results, their electronic and optical properties strongly depend on…

Computational Physics · Physics 2016-10-18 Hsien-Ching Chung , Yu-Tsung Lin , Shih-Yang Lin , Ching-Hong Ho , Cheng-Peng Chang , Ming-Fa Lin

We propose a generalized Peierls substitution method in conjunction with the tight-binding model to explore the magnetic quantization and quantum Hall effect in twisted multilayer graphene under a magnetic field. The Bloch-basis…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Thi-Nga Do , Po-Hsin Shih , Hsin Lin , Danhong Huang , Godfrey Gumbs , Tay-Rong Chang

This study delves into the magneto-electronic and magneto-optical properties of stacking-modulated bilayer graphene. By manipulating domain walls (DWs) across AB-BA domains periodically, we unveil oscillatory Landau subbands and the…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Chiun-Yan Lin , Da-We Weng , Chih-Wei Chiu , Godfrey Gumbs
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