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The one dimensional $S=1/2$ Heisenberg model with dimerization ($1-j$) and quadrumerization ($\delta$) in the magnetic field is studied by means of the numerical exact diagonalization of finite size systems and the conformal field theory.…

Statistical Mechanics · Physics 2009-10-31 Wei Chen , Kazuo Hida , Hiroki Nakano

We analyze the spectroscopic features of bilayer graphene determined by the formation of pairs of low-energy and split bands in this material. We show that the inter-Landau-level absorption spectrum in bilayer graphene at high magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. L. Abergel , Vladimir I. Fal'ko

According to the Onsager's semiclassical quantization rule, the Landau levels of a band are bounded by its upper and lower band edges at zero magnetic field. However, there are two notable systems where the Landau level spectra violate this…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Yoonseok Hwang , Jun-Won Rhim , Bohm-Jung Yang

We develop a theoretical framework for Landau levels in quasi-periodic twisted bilayer graphene at a $30^\circ$ twist angle, a system without translational symmetry but possessing 12-fold rotational symmetry. Using a quasi-band formalism,…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Masaru Hitomi , Takuto Kawakami , Mikito Koshino

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

Using full-potential density functional calculations we have investigated the structural and electronic properties of graphene and some of its structural analogues, viz., monolayer (ML) of SiC, GeC, BN, AlN, GaN, ZnO, ZnS and ZnSe. While…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Gautam Mukhopadhyay , Harihar Behera

We investigate the electronic eigenstates of graphene quantum dots of realistic size (i.e., up to 80 nm diameter) in the presence of a perpendicular magnetic field B. Numerical tight-binding calculations and Coulomb-blockade measurements…

Mesoscale and Nanoscale Physics · Physics 2010-06-09 F. Libisch , S. Rotter , J. Güttinger , C. Stampfer , J. Burgdörfer

Using density-functional calculations, we study the effect of sp$^3$-type defects created by different covalent functionalizations on the electronic and magnetic properties of graphene. We find that the induced magnetic properties are {\it…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Elton J. G. Santos , Andrés Ayuela , Daniel Sánchez-Portal

In this article we discuss the ground state of a parabolically confined quantum dots in the limit of very strong magnetic fields where the electron system is completely spin-polarized and all electrons are in the lowest Landau level.…

Condensed Matter · Physics 2015-06-25 A. H. MacDonald , S. -R. Eric Yang , M. D. Johnson

We investigate the fine structure in the energy spectrum of bilayer graphene in the presence of various stacking defaults, such as a translational or rotational mismatch. This fine structure consists of four Dirac points that move away from…

Mesoscale and Nanoscale Physics · Physics 2013-10-22 R. de Gail , M. O. Goerbig , G. Montambaux

We investigate magnetotransport on Bernal-stacked tetralayer graphene whose band structure consists of two massive subbands with different effective masses. Under a finite displacement field, we observe valley splitting of Landau levels…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Illias Klanurak , Kenji Watanabe , Takashi Taniguchi , Sojiphong Chatraphorn , Thiti Taychatanapat

A theoretical framework, which is under the first-principles calculations, is developed to fully explore the dramatic changes of essential properties due to the silicon-atom chemical modifications on monolayer graphenes. For the…

Materials Science · Physics 2019-10-14 Duy Khanh Nguyen , Ngoc Thanh Thuy Tran , Godfrey Gumbs , Ming-Fa Lin

Magnetism is a prototypical phenomenon of quantum collective state, and has found ubiquitous applications in semiconductor technologies such as dynamic random access memory (DRAM). In conventional materials, it typically arises from the…

Mesoscale and Nanoscale Physics · Physics 2019-11-12 Yongjin Lee , Shi Che , Jairo Velasco , David Tran , Jacopo Baima , Francesco Mauri , Matteo Calandra , Marc Bockrath , Chun Ning Lau

We study the electronic and magnetic properties of multilayer quantum dots (MQDs) of graphite in the nearest-neighbor approximation of tight-binding model. We calculate the electronic density of states and orbital susceptibility of the…

Mesoscale and Nanoscale Physics · Physics 2015-01-19 Hazem Abdelsalam , Tania Espinosa-Ortega , Igor Lukyanchuk

Electronic properties of surface areas decoupled from graphite are studied using scanning tunnelling microscopy and spectroscopy. We show that it is possible to identify decoupled graphene monolayer, Bernal bilayer, and Bernal trilayer on…

Mesoscale and Nanoscale Physics · Physics 2015-03-06 Long-Jing Yin , Si-Yu Li , Jia-Bin Qiao , Jia-Cai Nie , Lin He

We describe the gated bilayer graphene system when it is subjected to intense terahertz frequency electromagnetic radiation. We examine the electron band structure and density of states via exact diagonalization methods within Floquet…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

We study the charge transfer between a quasi-free-standing monolayer graphene, produced by hydrogen intercalation, and surface acceptor states. We consider two models of acceptor density of states to explain the high hole densities observed…

Materials Science · Physics 2011-07-26 S. Kopylov , V. I. Fal'ko , Th. Seyller

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 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

A single Landau level (LL) dressed with periodic electrostatic potentials can realize a plethora of interacting topological phases where the Hall conductivity generally does not equal to the LL filling factor. Their physics can be captured…

Strongly Correlated Electrons · Physics 2026-04-07 Bo Peng , Yuzhu Wang , Bo Yang
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