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We fabricated and measured antidot lattices in single layer graphene with lattice periods down to 90 nm. In large-period lattices, a well-defined quantum Hall effect is observed. Going to smaller antidot spacings the quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2009-10-01 J. Eroms , D. Weiss

It is known that the Shubnikov--de Haas oscillations can be observed in the Hall resistivity, although their amplitude is much weaker than the amplitude of the diagonal resistivity oscillations. Employing a model of two-dimensional massive…

Strongly Correlated Electrons · Physics 2016-02-23 V. Yu. Tsaran , S. G. Sharapov

In addition to the well known chiral anomaly, Dirac semimetals have been argued to exhibit mirror anomaly, close analogue to the parity anomaly of ($2+1$)-dimensional massive Dirac fermions. The observable response of such anomaly is…

Mesoscale and Nanoscale Physics · Physics 2019-02-08 S. Nandy , Kush Saha , A. Taraphder , Sumanta Tewari

We investigate theoretically the spin-independent tunneling magnetoresistance effect in a graphene monolayer modulated by two parallel ferromagnets deposited on a dielectric layer. For the parallel magnetization configuration, Klein…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Zhai , K. Chang

The Hall and magnetoresistance of a two dimensional electron gas subjected to a magnetic field barrier parallel to the current direction is studied as function of the applied perpendicular magnetic field. The recent experimental results of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Reijniers , F. M. Peeters

We have measured magnetoresistance of suspended graphene in the Corbino geometry at magnetic fields up to $B=0.15\,$T, i.e., in a regime uninfluenced by Shubnikov-de Haas oscillations. The low-temperature relative magnetotoresistance…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Masahiro Kamada , Vanessa Gall , Jayanta Sarkar , Manohar Kumar , Antti Laitinen , Igor Gornyi , Pertti Hakonen

We study the band structure of graphene's Dirac-Weyl quasi-particles in a one-dimensional magnetic superlattice formed by a periodic sequence of alternating magnetic barriers. The spectrum and the nature of the states strongly depend on the…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Luca Dell'Anna , Alessandro De Martino

The recent Quantum Hall experiments in graphene have confirmed the theoretically well-understood picture of the quantum Hall (QH) conductance in fermion systems with continuum Dirac spectrum. In this paper we take into account the lattice,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Andrei Bernevig , Taylor L. Hughes , Han-Dong Chen , Congjun Wu , Shou-Cheng Zhang

Measurements of the basal-plane resistivity rho_a(T,H) performed on highly oriented pyrolitic graphite, with magnetic field H parallel to the c-axis in the temperature interval 2 - 300 K and fields up to 8 T, provide evidence for the…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Kopelevich , V. V. Lemanov , S. Moehlecke , J. H. S. Torres

Quantum anomalous Hall state is expected to emerge in Dirac electron systems such as graphene under both sufficiently strong exchange and spin-orbit interactions. In pristine graphene, neither interaction exists; however, both interactions…

Mesoscale and Nanoscale Physics · Physics 2017-10-12 Chi Tang , Bin Cheng , Mohammed Aldosary , Zhiyong Wang , Zilong Jiang , K. Watanabe , T. Taniguchi , Marc Bockrath , Jing Shi

We consider the Hall conductivity of two-dimensional non-interacting Bloch electrons when the magnetic flux per unit cell is a rational number $p/q$ where $p$ and $q$ are mutually coprime. We present a counter-example for the naive…

Condensed Matter · Physics 2009-10-22 Masaki Oshikawa

Recently a large negative longitudinal (parallel to the magnetic field) magnetoresistance was observed in Weyl and Dirac semimetals. It is believed to be related to the chiral anomaly associated with topological electron band structure of…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 A. V. Andreev , B. Z. Spivak

Linear magnetoresistance occurs in semiconductors as a consequence of strong electrical disorder and is characterized by nonsaturating magnetoresistance that is proportional to the applied magnetic field. By investigating a disordered…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. G. Johnson , S. P. Bennett , R. Barua , L. H Lewis , D. Heiman

We show that the resistivity perpendicular $\rho_c$ and parallel $\rho_a$ to the basal planes of different graphite samples show similar magnetic-field-driven metal-insulator-transitions at a field $B_c \sim 0.1 T$ applied parallel to the…

Strongly Correlated Electrons · Physics 2016-08-31 H. Kempa , P. Esquinazi , Y. Kopelevich

The nonmagnetic compounds showing extremely large magnetoresistance are attracting a great deal of research interests due to their potential applications in the field of spintronics. PtBi$_2$ is one of such interesting compounds showing…

We have investigated the absorption spectrum of multilayer graphene in high magnetic fields. The low energy part of the spectrum of electrons in graphene is well described by the relativistic Dirac equation with a linear dispersion…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Plochocka , C. Faugeras , M. Orlita , M. L. Sadowski , G. Martinez , M. Potemski , M. O. Goerbig , J. -N. Fuchs , C. Berger , W. A. de Heer

We report two dimensional Dirac fermions and quantum magnetoresistance in single crystals of CaMnBi$_2$. The non-zero Berry's phase, small cyclotron resonant mass and first-principle band structure suggest the existence of the Dirac…

Strongly Correlated Electrons · Physics 2015-06-04 Kefeng Wang D. Graf , Limin Wang , Hechang Lei , S. W. Tozer , C. Petrovic

Application of an in-plane magnetic field to rippled graphene will make the system be a plane with randomly distributed vector potentials. Massless Dirac fermions carrying charges on graphene are scattered by the vector potentials and…

Mesoscale and Nanoscale Physics · Physics 2014-03-27 Kazuyuki Genma , Makoto Katori

The current flow along the boundary of graphene stripes in a perpendicular magnetic field is studied theoretically by the nonequilibrium Green's function method. In the case of specular reflections at the boundary, the Hall resistance shows…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 Thomas Stegmann , Axel Lorke

The linear conductance spectrum of a metallic graphene junction formed by interconnecting two gapless graphene nanoribbons is calculated. A strong conductance suppression appears in the vicinity of the Dirac point. We found that such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Haidong Li , Lin Wang , Yisong Zheng