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A key feature of the topological surface state under a magnetic field is the presence of the zeroth Landau level at the zero energy. Nonetheless, it has been challenging to probe the zeroth Landau level due to large electron-hole puddles…

Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

We derive an effective field-theoretical model for the one-dimensional collective mode associated with a domain wall in a quantum Hall ferromagnetic state, as realized in confined graphene systems at zero filling. To this end, we consider…

Strongly Correlated Electrons · Physics 2015-06-05 Victoria Mazo , H. A. Fertig , Efrat Shimshoni

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 presence of strong disorder in graphene nanoribbons yields low-mobility diffusive transport at high charge densities, whereas a transport gap occurs at low densities. Here, we investigate the longitudinal and transverse…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Fabian Duerr , Jeroen B. Oostinga , Charles Gould , Laurens W. Molenkamp

For more than a decade it was widely accepted that two-dimensional electrons are insulating at zero temperature and at zero magnetic-field. Experimentally it was demonstrated that, when placed in a strong perpendicular magnetic field, the…

Condensed Matter · Physics 2007-05-23 Y. Hanein , D. Shahar , Hadas Shtrikman , J. Yoon , C. C. Li , D. C. Tsui

Bilayer graphene, in the presence of a one-sided spin-orbit interaction (SOI) induced by a suitably chosen substrate, is predicted to exhibit unconventional Quantum Hall states. The new states arise due to strong SOI-induced splittings of…

Mesoscale and Nanoscale Physics · Physics 2018-12-07 Jun Yong Khoo , Leonid Levitov

Strong magnetic field induces at least two phase transitions in graphite beyond the quantum limit where many-body effects are expected. We report on a study using a state-of-the-art non-destructive magnet allowing to attain 90.5 T at 1.4 K,…

Strongly Correlated Electrons · Physics 2019-04-03 Zengwei Zhu , Pan Nie , Benoît Fauqué , Ross D. McDonald , Neil Harrison , Kamran Behnia

In QED of two space dimensions, a quantum Hall effect occurs in the absence of any magnetic field. We give a simple and transparent explanation. In solid state physics, the Hall conductivity for non-degenerate ground state is expected to be…

Mesoscale and Nanoscale Physics · Physics 2008-04-25 Marianne Leitner

Graphene properties can be manipulated by a periodic potential. Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. New chiral…

Strongly Correlated Electrons · Physics 2011-01-18 Lei Xu , Jin An , Chang-De Gong

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

The in-plane resistivity, Hall resistivity and magnetization of graphite were investigated in pulsed magnetic fields applied along the \textit{c}-axis. The Hall resistivity approaches zero at around 53 T where the in-plane and out-of-plane…

Strongly Correlated Electrons · Physics 2015-05-07 Kazuto Akiba , Atsushi Miyake , Hiroshi Yaguchi , Akira Matsuo , Koichi Kindo , Masashi Tokunaga

When a three-dimensional (3D) ferromagnetic topological insulator thin film is magnetized out-of-plane, conduction ideally occurs through dissipationless, one-dimensional (1D) chiral states that are characterized by a quantized, zero-field…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 A. Kandala , A. Richardella , S. Kempinger , C-X. Liu , N. Samarth

We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. This framework is known to experimentally exhibit conductance plateaus whose origin is still not fully understood.…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Pierre Carmier , Caio Lewenkopf , Denis Ullmo

We study charge and spin transport along grain boundaries in single layer graphene in the presence of a quantizing magnetic field. Transport states in a grain boundary are produced by hybridization of Landau zero modes with interfacial…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Madeleine Phillips , E. J. Mele

We show that a finite Hall effect in zero applied magnetic field occurs for partially filled bands in certain time-reversal violating states with zero net flux per unit-cell. These states are the Magneto-chiral states with parameters in the…

Strongly Correlated Electrons · Physics 2015-06-16 Yan He , P. A. Lee , C. M. Varma

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

When smooth, zero-on-average, periodic magnetic and electric fields are applied to a carbon mono-layer (graphene), a gap between the valence and conduction band is introduced. Here this gapped state is studied analytically. It is found that…

Mesoscale and Nanoscale Physics · Physics 2013-02-25 I. Snyman

At the charge neutral point, graphene exhibits a very unusual high resistance metallic state and a transition to a complete insulating phase in a strong magnetic field. We propose that the current carriers in this state are the charged…

Mesoscale and Nanoscale Physics · Physics 2009-11-21 Kentaro Nomura , Shinsei Ryu , Dung-Hai Lee

Low-energy transport measurements in Quantum Hall systems have been argued to be governed by emergent modular symmetries whose predictions are robust against many of the detailed microscopic dynamics. We propose the recently-observed…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 C. P. Burgess , B. P. Dolan