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We report on the fractional quantum Hall states of germanene and silicene where one expects a strong spin-orbit interaction. This interaction causes an enhancement of the electron-electron interaction strength in one of the Landau levels…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Vadym M. Apalkov , Tapash Chakraborty

The valley degeneracy of electron states in graphene stimulates intensive research of valley-related optical and transport phenomena. While many proposals on how to manipulate valley states have been put forward, experimental access to the…

Mesoscale and Nanoscale Physics · Physics 2014-11-17 L. E. Golub , S. A. Tarasenko

We report on first-principles calculations of spin-dependent properties in graphene induced by its interaction with a nearby magnetic insulator (Europium oxide, EuO). The magnetic proximity effect results in spin polarization of graphene…

Materials Science · Physics 2013-01-30 H. -X. Yang , A. Hallal , D. Terrade , X. Waintal , S. Roche , M. Chshiev

We report experimental observation of the reentrant integer quantum Hall effect in graphene, appearing in the N$=$2 Landau level. Similar to high-mobility GaAs/AlGaAs heterostructures, the effect is due to a competition between…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Shaowen Chen , Rebeca Ribeiro-Palau , Kang Yang , Kenji Watanabe , Takashi Taniguchi , James Hone , Mark O. Goerbig , Cory R. Dean

We studied the edge states and transverse electron focusing in the presence of spin-orbit interaction in a two dimensional electron gas. Assuming strong spin-orbit coupling we derived semiclassical quantization conditions to describe the…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Andor Kormanyos

The possibility for carbon materials such as activated carbon fibers or graphite ribbons, to support edge-states could change drastically their magnetic properties. The purpose of this work is to propose a novel way to identify the…

Condensed Matter · Physics 2007-05-23 S. Pleutin , A. A. Ovchinnikov

We model the quantum Hall effect in heterostructures made of two gapped graphene stripes with different gaps, $\Delta_1$ and $\Delta_2$. We consider two main situations, $\Delta_1=0,\Delta_2\neq0$ and $\Delta_1=-\Delta_2$. They are…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 J. L. Lado , J. W. González , J. Fernández-Rossier

We examine the bound-state and free-state contributions to the density of states in a three-dimensional electron gas with a two-dimensional interface with Rashba spin-orbit coupling. Confinement of electrons to the interface is achieved…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 A. C. Zulkoskey , R. Dick , K. Tanaka

Graphene subject to a strong, tilted magnetic field exhibits an insulator-metal transition tunable by tilt-angle, attributed to the transition from a canted antiferromagnetic (CAF) to a ferromagnetic (FM) bulk state at filling factor zero.…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 Ganpathy Murthy , Efrat Shimshoni , H. A. Fertig

Spin, anomalous, and valley Hall effects in graphene-based hybrid structures are studied theoretically within the Green function formalism and linear response theory. Two different types of hybrid systems are considered in detail: (i)…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 A. Dyrdał , J. Barnaś

We study quantum dots defined by external potentials within finite flakes of bilayer graphene using the tight-binding approach. We find that in the limit of large flakes containing zigzag edges the dot-localized energy levels appear within…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 D. P. Żebrowski , E. Wach , B. Szafran

We develop an analytical theory for edge states in monolayers of transition metal dichalcogenides based on a general boundary condition for a two-band ${\bf kp}$-Hamiltonian in case of uncoupled valleys. Taking into account {\it edge}…

Mesoscale and Nanoscale Physics · Physics 2017-12-22 V. V. Enaldiev

We show that opacity of a clean multilayer graphene flake depends on the helicity of the circular polarized electromagnetic radiation. The effect can be understood in terms of the pseudospin selection rules for the interband optical…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Maxim Trushin , John Schliemann

Topological protection in photonics offers new prospects for guiding and manipulating classical and quantum information. The mechanism of spin-orbit coupling promises the emergence of edge states that are helical; exhibiting unidirectional…

Optics · Physics 2018-11-28 Nikhil Parappurath , Filippo Alpeggiani , L. Kuipers , Ewold Verhagen

Many topological phases host gapless boundary modes that can be dramatically modified by electronic interactions. Even for the long-studied edge modes of quantum Hall phases, forming at the boundaries of two-dimensional (2D) electron…

Proximity effects resulting from depositing a graphene layer on a TMD substrate layer change the dynamics of the electronic states in graphene, inducing spin orbit coupling (SOC) and staggered potential effects. An effective Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Abdulrhman M. Alsharari , Mahmoud M. Asmar , Sergio E. Ulloa

In the quantum Hall regime of graphene, antiferromagnetic and spin-polarized ferromagnetic states at the zeroth Landau level compete, leading to a canted antiferromagnetic state depending on the direction and magnitude of an applied…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Y. Li , M. Amado , T. Hyart , G. P. Mazur , V. Risinggård , T. Wagner , L. McKenzie Sell , G. Kimbell , J. Wunderlich , J. Linder , J. W. A. Robinson

Graphene nano-flakes (GNFs) are predicted to host spin-polarized metallic edge states, which are envisioned for exploration of spintronics at the nanometer scale. To date, experimental realization of GNFs is only in its infancy because of…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Qiushi Zhang , Tszchun Wu , Guowen Kuang , Ayu Xie , Nian Lin

We analyze the single particle states at the edges of disordered graphene quantum dots. We show that generic graphene quantum dots support a number of edge states proportional to circumference of the dot over the lattice constant. Our…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 M. Wimmer , A. R. Akhmerov , F. Guinea

On the basis of tight-binding lattice model, the edge states of monolayer and bilayer graphene nanoribbons (GNRs) with different edge terminations are studied. The effects of edge-hopping modulation, spin-orbital coupling (SOC), and bias…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Wei Li , Ruibao Tao