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We study the problem of Dirac fermion confinement in graphene in the presence of a perpendicular magnetic field B. We show, analytically and numerically, that confinement leads to anomalies in the electronic spectrum and to a magnetic field…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-type low-energy spectrum. In a strong magnetic field, where Coulomb interactions dominate against disorder broadening, quantum Hall ferromagnetic states…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Naokazu Shibata , Kentaro Nomura

The realization of graphene has provided a bench-top laboratory for quantum electrodynamics. The low-energy excitations of graphene are two-dimensional massless Dirac fermions with opposite chiralities at the $\pm$K valleys of the graphene…

Mesoscale and Nanoscale Physics · Physics 2024-12-11 Liguo Ma , Raghav Chaturvedi , Phuong X. Nguyen , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

We compare the conductance of an undoped graphene sheet with a small region subject to an electrostatic gate potential for the cases that the dynamics in the gated region is regular (disc-shaped region) and classically chaotic (stadium).…

Mesoscale and Nanoscale Physics · Physics 2009-06-10 J. H. Bardarson , M. Titov , P. W. Brouwer

The quantum Hall effect in curved space has been the subject of many theoretical investigations in the past, but devising a physical system to observe this effect is hard. Many works have indicated that electronic excitations in strained…

Strongly Correlated Electrons · Physics 2026-03-20 Glenn Wagner , Fernando de Juan , Dung X. Nguyen

Probing and controlling the valley degree of freedom in graphene systems by transport measurements has been a major challenge to fully exploit the unique properties of this two-dimensional material. In this theoretical work, we show that…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Feng-Wu Chen , Nin-Yuan Lue , Mei-Yin Chou , Yu-Shu G. Wu

It is a fundamental paradigm that the physical effects induced by electric fields are qualitatively different from those induced by magnetic fields. Here we show that electrons at a Dirac point in bilayer graphene experience an unusual type…

Mesoscale and Nanoscale Physics · Physics 2012-06-22 R. Winkler , U. Zuelicke

Valley-polarized currents can be generated by local straining of multi-terminal graphene devices. The pseudo-magnetic field created by the deformation allows electrons from only one valley to transmit and a current of electrons from a…

Mesoscale and Nanoscale Physics · Physics 2016-11-18 S. P. Milovanovic , F. M. Peeters

Modifying the hexagonal lattices of graphene enables the repositioning and merging of the Dirac cones which proves to be a key element in the use of these materials for alternative electronic applications such as valleytronics. Here we…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Saber Rostamzadeh , Mustafa Sarisaman

In the presence of axial magnetic fields that can be realized in deliberately buckled monolayer graphene, quasi-relativistic Dirac fermions may find themselves in a variety of broken symmetry phases even for weak interactions. Through a…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Bitan Roy , Jay D. Sau

Artificial magnetic fields are revolutionizing our ability to manipulate neutral particles, by enabling the emulation of exotic phenomena once thought to be exclusive to charged particles. In particular, pseudo-magnetic fields generated by…

Optics · Physics 2020-09-23 Charlie-Ray Mann , Simon A. R. Horsley , Eros Mariani

Recent successes in manufacturing of atomically thin graphite samples (graphene) have stimulated intense experimental and theoretical activity. The key feature of graphene is the massless Dirac type of low-energy electron excitations. This…

Mesoscale and Nanoscale Physics · Physics 2008-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

The electron transport of different conical valleys is investigated in graphene with extended line-defects. Intriguingly, the electron with a definite incident angle can be completely modulated into one conical valley by a resonator which…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Yang Liu , Juntao Song , Yuxian Li , Ying Liu , Qing-feng Sun

When graphene is deformed in a dynamical manner, a time-dependent potential is induced for the electrons. The potential is antisymmetric with respect to valleys, and some straightforward applications are found for Raman spectroscopy. We…

Mesoscale and Nanoscale Physics · Physics 2014-11-17 Ken-ichi Sasaki , Yasuhiro Tokura , Hideki Gotoh

We theoretically demonstrate that an external magnetic field can be used to control quantum reflection of matter waves in graphene due to its extraordinary magneto-optical properties. We calculate the quantum reflection probabilities in…

Quantum Physics · Physics 2019-09-06 Marcius Silvestre , Tarik P. Cysne , Daniela Szilard , Felipe A. Pinheiro , Carlos Farina

Two-dimensional semimetals with tilted Dirac cones in the electronic band structure are shown to exhibit spatial separation of carriers belonging to different valleys under illumination. In stark contrast to gapped Dirac materials this…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 A. Wild , E. Mariani , M. E. Portnoi

Recent experiments reveal that a scanning tunneling microscopy (STM) probe tip can generate a highly localized strain field in a graphene drumhead, which in turn leads to pseudomagnetic fields in the graphene that can spatially confine…

Topological antiferromagnetic (AFM) spintronics is an emerging field of research, which involves the topological electronic states coupled to the AFM order parameter known as the N$\acute{\rm e}$el vector. The control of these states is…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Hiroyuki Takenaka , Shane Sandhoefner , Alexey A. Kovalev , Evgeny Y. Tsymbal

Valley pseudospin, the quantum degree of freedom characterizing the degenerate valleys in energy bands, is a distinct feature of two-dimensional Dirac materials. Similar to spin, the valley pseudospin is spanned by a time reversal pair of…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Mengqiao Sui , Guorui Chen , Liguo Ma , Wenyu Shan , Dai Tian , Kenji Watanabe , Takashi Taniguchi , Xiaofeng Jin , Wang Yao , Di Xiao , Yuanbo Zhang

We investigate the quantum Hall effect in graphene. We argue that in graphene in presence of an external magnetic field there is dynamical generation of mass by a rearrangement of the Dirac sea. We show that the mechanism breaks the lattice…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Paolo Cea
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