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We study the Landau levels in curved graphene sheets by measuring the discrete energy spectrum in the presence of a magnetic field. We observe that in rippled graphene sheets, the Landau energy levels satisfy the same square root dependence…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Jens-Daniel Debus , Miller Mendoza , Hans Jürgen Herrmann

The density of states and differential entropy per particle are analyzed for Dirac-like electrons in graphene subjected to a perpendicular magnetic field and an in-plane electric field. For comparison, the derived density of states is…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Andrii A. Chaika , Yelizaveta Kulynych , D. O. Oriekhov , Sergei G. Sharapov

We present measurements of the electronic compressibility, $K$, of bilayer graphene in both zero and finite magnetic fields up to 14 T, and as a function of both the carrier density and electric field perpendicular to the graphene sheet.…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 E. A. Henriksen , J. P. Eisenstein

Though graphene has been intensively studied by Raman spectroscopy, in this letter, we report a study of second-order overtone and combinational Raman modes in an unexplored range of 1690-2150 cm-1 in nonsuspended commensurate (AB-stacked),…

Materials Science · Physics 2010-10-19 Chunxiao Cong , Ting Yu , Riichiro Saito

As a canonical response to the applied magnetic field, the electronic states of a metal are fundamentally reorganized into Landau levels. In Dirac metals, Landau levels can be expected without magnetic fields, provided that an inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2021-08-13 Zheng Shi , Hai-Zhou Lu , Tianyu Liu

In this Letter, we study topological flat bands with distinct features that deviate from conventional Landau level behavior. We show that even in the ideal quantum geometry limit, moire flat band systems can exhibit physical phenomena…

Strongly Correlated Electrons · Physics 2025-11-27 Siddhartha Sarkar , Xiaohan Wan , Ang-Kun Wu , Shi-Zeng Lin , Kai Sun

We study the discrete energy spectrum of curved graphene sheets in the presence of a magnetic field. The shifting of the Landau levels is determined for complex and realistic geometries of curved graphene sheets. The energy levels follow a…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Kyriakos Flouris , Miller Mendoza , Hans J. Herrmann

When charge transport occurs under conditions like topological protection or ballistic motion, the conductance of low-dimensional systems often exhibits quantized values in units of $e^{2}/h$, where $e$ and $h$ are the elementary charge and…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Baojuan Dong , Kai Zhao , Kenji Watanabe , Takashi Taniguchi , Jianming Lu , Jianting Zhao , Fengcheng Wu , Jing Zhang , Zheng Han

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

Since the discovery of graphene, layered materials have attracted extensive interests owing to their unique electronic and optical characteristics. Among them, Dirac semimetal, one of the most appealing categories, has been a long-sought…

We study the energy spectrum and electronic properties of graphene in a periodic magnetic field of zero average with a symmetry of triangular lattice. The periodic field leads to formation of a set of minibands separated by gaps, which can…

Materials Science · Physics 2015-05-30 M. Taillefumier , V. K. Dugaev , B. Canals , C. Lacroix , P. Bruno

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

Under high perpendicular magnetic field and at low temperatures, graphene develops an insulating state at the charge neutrality point. This state, dubbed $\nu=0$, is due to the interplay between electronic interactions and the four-fold…

Current experiments on different samples of twisted bilayer graphene (TBG) have found different sets of insulating phases. Despite this diversity, many features of these insulating phases appear to be universal. They include the dispersion…

Strongly Correlated Electrons · Physics 2019-04-24 Tin-Lun Ho , Cheng Li

One-atom thick crystalline layers and their vertical heterostructures carry the promise of designer electronic materials that are unattainable by standard growth techniques. In order to realize their potential it is necessary to isolate…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Chih-Pin Lu , Martin Rodriguez-Vega , Guohong Li , Adina Luican-Mayer , K. Watanabe , T. Taniguchi , Enrico Rossi , Eva Y. Andrei

We study the collective modes of the quantum Hall states in undoped bilayer graphene in a strong perpendicular magnetic and electric field. Both for the well-known ferromagnetic state that is relevant for small electric field $E_\perp$ and…

Strongly Correlated Electrons · Physics 2011-05-04 Csaba Toke , Vladimir I. Fal'ko

Non-diagonal (bond) disorder in graphene broadens Landau levels (LLs) in the same way as random potential. The exception is the zeroth LL, $n=0$, which is robust to the bond disorder, since it does not mix different $n=0$ states within a…

Disordered Systems and Neural Networks · Physics 2019-02-20 Rajesh K. Malla , M. E. Raikh

Massless Dirac electrons in graphene fill Landau levels with energies scaled as square roots of their numbers. Coulomb interaction between electrons leads to mixing of different Landau levels. The relative strength of this interaction…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Yu. E. Lozovik , A. A. Sokolik

Graphite is a model system for the study of three-dimensional electrons and holes in the magnetic quantum limit, in which the charges are confined to the lowest Landau levels. We report magneto-transport measurements in pulsed magnetic…

Strongly Correlated Electrons · Physics 2017-09-28 F. Arnold , A. Isidori , E. Kampert , B. Yager , M. Eschrig , J. Saunders

The electronic structure of bilayer graphene under pressure develops very interesting features with an enhancement of the trigonal warping and a splitting of the parabolic touching bands at the K point of the reciprocal space into four…

Materials Science · Physics 2016-07-06 F Munoz , H. P. Ojeda Collado , Gonzalo Usaj , Jorge O. Sofo , C. A. Balseiro