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The Peierl's tight-binding model, with the band Hamiltonian matrix, is used to calculate the magnetoelectronic structure of a monolayergraphite. There are many flat Landau levels and some oscillatory Landau levels. The low Landau-level…

Mesoscale and Nanoscale Physics · Physics 2007-06-04 J. H. Ho , Y. H. Lai , Y. H. Chiu , M. F. Lin

Low-energy Landau levels of AB-stacked zigzag graphene ribbons in the presence of a uniform perpendicular magnetic field (\textbf{B}) are investigated by the Peierls coupling tight-binding model. State energies and associated wave functions…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Y. C. Huang , C. P. Chang , W. S. Su , M. F. Lin

Theoretical investigation of thermodynamic properties of electrically modulated monolayer graphene in the presence of a perpendicular magnetic field B is presented.This work is aimed at determining the modulation induced effects on the…

Mesoscale and Nanoscale Physics · Physics 2008-04-21 R. Nasir , M. A. Khan , M. Tahir , K. Sabeeh

The electromagnetic response of bilayer graphene in a magnetic field is studied in comparison with that of monolayer graphene. Both types of graphene turn out to be qualitatively quite similar in dielectric and screening characteristics,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Misumi , K. Shizuya

Electronic structure of graphene monolayer-bilayer junction in a magnetic field is studied within an effective-mass approximation. The energy spectrum is characterized by interface Landau levels, i.e., the locally flat bands appearing near…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Mikito Koshino , Takeshi Nakanishi , Tsuneya Ando

Magneto-electronic properties of buckled monolayer GaAs is studied by the developed generalized tight-binding model, considering the buckled structure, multi-orbital chemical bondings, spin-orbit coupling, electric field, and magnetic field…

Computational Physics · Physics 2019-02-22 Hsien-Ching Chung , Chih-Wei Chiu , Chun-Nan Chen , Ming-Fa Lin

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

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

The effect of magnetic modulation on thermodynamic properties of a graphene monolayer in presence of a constant perpendicular magnetic field is reported here. One-dimensional spatial electric or magnetic modulation lifts the degeneracy of…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 SK Firoz Islam , Naveen K. Singh , Tarun Kanti Ghosh

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

We investigate the effect of a magnetic field on the band structure of bilayer graphene with a magic twist angle of 1.08{\deg}. The coupling of a tight-binding model and the Peierls phase allows the calculation of the energy bands of…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 Gaëlle Bigeard , Alessandro Cresti

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

We study the density of states and localization properties of the lowest Landau levels of graphene at high magnetic fields. We focus on the effects caused by correlated long-range hopping disorder, which, in exfoliated graphene, is induced…

Mesoscale and Nanoscale Physics · Physics 2011-10-06 A. L. C. Pereira , C. H. Lewenkopf , E. R. Mucciolo

The electronic structure of Bernal-stacked graphite subject to tilted magnetic fields is studied theoretically. The minimal nearest-neighbor tight-binding model with the Peierls substitution is employed to describe the structure of Landau…

Mesoscale and Nanoscale Physics · Physics 2012-08-14 Nataliya A. Goncharuk , Ludvik Smrcka

We present perturbative analytical results of the Landau level quasienergy spectrum, autocorrelation function and out of plane pseudospin polarization for a single graphene sheet subject to intense circularly polarized terahertz radiation.…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Alexander Lopez , Antonio Di Teodoro , John Schliemann , Bertrand Berche , Benjamin Santos

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 with exact diagonalization method is developed to calculate the optical properties of monolayer graphene in the presence of composite magnetic fields. The ratio of the uniform magnetic field and the…

Mesoscale and Nanoscale Physics · Physics 2014-04-10 Y. C. Ou , Y. H. Chiu , P. H. Yang , M. F. Lin

A generalized tight-binding model, which is based on the subenvelope functions of the different sublattices, is developed to explore the novel magnetic quantization in monolayer gray tin. The effects due to the $sp^{3}$ bonding, the…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Szu-Chao Chen , Chung-Lin Wu , Jhao-Ying Wu , Ming-Fa Lin

The Landau level spectrum of graphene superlattices is studied using a tight-binding approach. We consider non-interacting particles moving on a hexagonal lattice with an additional one-dimensional superlattice made up of periodic square…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 G. Pal , W. Apel , L. Schweitzer

An effective Hamiltonian approach is used to study the effect of Landau-level mixing on the energy spectrum of electrons in a smooth but random magnetic field B(r) with a finite uniform component B_0. It is found that, as opposed to…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 M. C. Chang , M. F. Yang , T. M. Hong
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