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The magneto-transport properties of phosphorene are investigated by employing the generalized tight-binding model to calculate the energy bands. For bilayer phosphorene, a composite magnetic and electric field is shown to induce a…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 Jhao-Ying Wu , Wu-Pei Su , Godfrey Gumbs

The quantum anomalous Hall (QAH) effect - a macroscopic manifestation of chiral band topology at zero magnetic field - has only been experimentally realized by magnetic doping of topological insulators (1 - 3) and delicate design of Moire…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Fabian R. Geisenhof , Felix Winterer , Anna M. Seiler , Jakob Lenz , Tianyi Xu , Fan Zhang , R. Thomas Weitz

We consider intrinsic contributions to the spin Hall and spin Nernst effects in a bilayer graphene. The relevant electronic spectrum is obtained from the tight binding Hamiltonian, which also includes the intrinsic spin-orbit interaction.…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 A. Dyrdal , J. Barnas

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

Monolayer staggered materials of the graphene family present intrinsic spin-orbit coupling and can be driven through several topological phase transitions using external circularly polarized lasers, and static electric or magnetic fields.…

Materials Science · Physics 2018-04-25 P. Ledwith , W. J. M. Kort-Kamp , D. A. R. Dalvit

The quantum Hall effect, with a Berry's phase of $\pi$ is demonstrated here on a single graphene layer grown on the C-face of 4H silicon carbide. The mobility is $\sim$ 20,000 cm$^2$/V$\cdot$s at 4 K and ~15,000 cm$^2$/V$\cdot$s at 300 K…

Mesoscale and Nanoscale Physics · Physics 2009-12-08 Xiaosong Wu , Yike Hu , Ming Ruan , Nerasoa K Madiomanana , John Hankinson , Mike Sprinkle , Claire Berger , Walt A. de Heer

Electronic properties of bilayer graphene are distinct from both the conventional two dimensional electron gas and monolayer graphene due to its particular chiral properties and excitation charge carrier dispersions. We study the effect of…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Habib Rostami , Reza Asgari

The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Thierry Jolicoeur

Metrological investigations of the quantum Hall effect (QHE) completed by transport measurements at low magnetic field are carried out in a-few-$\mu\mathrm{m}$-wide Hall bars made of monolayer (ML) or bilayer (BL) exfoliated graphene…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 J. Guignard , D. Leprat , D. C. Glattli , F. Schopfer , W. Poirier

In this report we experimentally probe the non-equilibrium breakdown of the quantum Hall state in monolayer graphene by injecting a high current density ($\sim$1A/m). The measured critical currents for dissipationless transport in the…

Mesoscale and Nanoscale Physics · Physics 2010-04-13 Vibhor Singh , Mandar M. Deshmukh

The Hall resistance of a homogeneous electron system is well known to be anti-symmetric with respect to the magnetic field and the sign of charge carriers. We have observed that such symmetries no longer hold in planar hybrid structures…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Jifa Tian , Yongjin Jiang , Isaac Childres , Helin Cao , Jiangping Hu , Yong P. Chen

We critically analyze the recently reported observation of integer (IQAHE) and fractional (FQAHE) quantum anomalous Hall effects at zero applied magnetic field in pentalayer graphene. Our quantitative activation and variable range hopping…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 Ming Xie , Sankar Das Sarma

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

Fully taking into account of the honeycomb lattice structure, fractional quantum Hall states of graphene are considered by a pseudopotential projected into the n = 0 Landau band. By using a chirality as an internal degree of freedom, the…

Strongly Correlated Electrons · Physics 2018-05-16 Koji Kudo , Yasuhiro Hatsugai

We make a number of precise experimental predictions for observing the various magnetic phases and the quantum phase transitions between them in the $\nu$=2 bilayer quantum Ha ll system. In particular, we analyze the effect of an external…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. Brey , E. Demler , S. Das Sarma

We report on the fabrication and transport studies of a single-layer graphene p-n junction. Carrier type and density in two adjacent regions are individually controlled by electrostatic gating using a local top gate and a global back gate.…

Mesoscale and Nanoscale Physics · Physics 2007-08-28 J. R. Williams , L. DiCarlo , C. M. Marcus

We perform transport measurements in high quality bilayer graphene pnp junctions with suspended top gates. At a magnetic field B=0, we demonstrate band gap opening by an applied perpendicular electric field, with an On/Off ratio up to…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Lei Jing , Jairo Velasco , Philip Kratz , Gang Liu , Wenzhong Bao , Marc Bockrath , Chun Ning Lau

We derive an effective two-dimensional Hamiltonian to describe the low energy electronic excitations of a graphite bilayer, which correspond to chiral quasiparticles with a parabolic dispersion exhibiting Berry phase $2\pi$. Its…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Edward McCann , Vladimir I. Fal'ko

The current proposals for producing non-Abelian anyons and Majorana particles, which are neither fermions nor bosons, are primarily based on the realization of topological superconductivity in two dimensions. We show theoretically that the…

Strongly Correlated Electrons · Physics 2017-08-11 Ying-Hai Wu , Tao Shi , Jainendra K. Jain