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The realization of p-n junctions in graphene, combined with the gapless and chiral nature of its massless Dirac fermions has led to the observation of many intriguing phenomena such as quantum Hall effect in bipolar regime, Klein tunneling,…

Mesoscale and Nanoscale Physics · Physics 2016-08-07 Thiti Taychatanapat , Jun You Tan , Yuting Yeo , Kenji Watanabe , Takashi Taniguchi , Barbaros Özyilmaz

We consider conductance mapping of the snake-orbits confined along the n-p junction defined in graphene by the electrostatic doping in the quantum Hall regime. We explain the periodicity of conductance oscillations at the magnetic field and…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

We report on the evolution of the coherent electronic transport through a gate-defined constriction in a high-mobility graphene device from ballistic transport to quantum Hall regime upon increasing the magnetic field. At low field, the…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Louis Veyrat , Anna Jordan , Katrin Zimmermann , Frederic Gay , Kenji Watanabe , Takeshi Taniguchi , Hermann Sellier , Benjamin Sacépé

Ballistic transport in graphene p-n junctions in the presence of magnetic field exhibits two distinct regimes: At low fields, transport is partially suppressed by the field. When the field exceeds a certain critical value, the junction is…

Mesoscale and Nanoscale Physics · Physics 2007-08-23 A. V. Shytov , Nan Gu , L. S. Levitov

In a graphene {\em pn} junction at high magnetic field, unidirectional "snake states" are formed at the {\em pn} interface. In a clean {\em pn} junction, each snake state exists in one of the valleys of the graphene band structure, and the…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Christian Fraessdorf , Luka Trifunovic , Nils Bogdanoff , Piet W. Brouwer

Snake states are trajectories of charge carriers curving back and forth along an interface. There are two types of snake states, formed by either inverting the magnetic field direction or the charge carrier type at an interface. Whereas the…

Mesoscale and Nanoscale Physics · Physics 2015-03-04 Peter Rickhaus , Péter Makk , Ming-Hao Liu , Endre Tóvári , Markus Weiss , Romain Maurand , Klaus Richter , Christian Schönenberger

At high magnetic fields the conductance of graphene is governed by the half-integer quantum Hall effect. By local electrostatic gating a \textit{p-n} junction perpendicular to the graphene edges can be formed, along which quantum Hall…

We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. A semiclassical approximation for the conductance is derived in terms of the various snake-like trajectories at…

Mesoscale and Nanoscale Physics · Physics 2010-06-21 Pierre Carmier , Caio Lewenkopf , Denis Ullmo

An approach to observe snake states in a graphene Hall bar containing a pn-junction is proposed. The magnetic field dependence of the bend resistance in a ballistic graphene Hall bar structure containing a tilted pn-junction oscillates as a…

Mesoscale and Nanoscale Physics · Physics 2013-12-05 S. P. Milovanovic , M. Ramezani Masir , F. M. Peeters

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

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 explore the non-equilibrium transport regime in graphene using a large dc current in combination with a perpendicular magnetic field. The strong in-plane Hall field that is generated in the bulk of the graphene channel results in Landau…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 Mrityunjay Pandey , Kenji Watanabe , Takashi Taniguchi , Srinivasan Raghavan , U. Chandni

We investigate the electron transport through a graphene p-n junction under a perpendicular magnetic field. By using Landauar-Buttiker formalism combining with the non-equilibrium Green function method, the conductance is studied for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Wen Long , Qing-feng Sun , Jian Wang

We have performed a detailed investigation of the electrical properties of a graphene monolayer which is modulated by a weak one dimensional periodic potential in the presence of a perpendicular magnetic field. The periodic modulation…

Mesoscale and Nanoscale Physics · Physics 2009-08-18 R. Nasir , K. Sabeeh , M. Tahir

We analyze theoretically electronic transport through a core-shell nanowire in the presence of a transversal magnetic field. We calculate the conductance for a variable coupling between the nanowire and the attached leads and show how the…

We report on the observation of magnetoresistance oscillations in graphene p-n junctions. The oscillations have been observed for six samples, consisting of single-layer and bilayer graphene, and persist up to temperatures of 30 K, where…

Nonuniform strain in graphene acts as a valley-dependent gauge field, generating pseudomagnetic fields (PMFs) that mimic real magnetic fields but preserve global time-reversal symmetry. While local probes have visualized such fields, their…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 Divya Sahani , Sunit Das , Kenji Watanabe , Takashi Taniguchi , Amit Agarwal , Aveek Bid

The proposed semiclassical theory predicts two types of oscillations in the flow of current injected from a point source near a ballistic p-n junction in graphene in a strong magnetic field. One originates from the classical effect of…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Aavishkar A. Patel , Nathan Davies , Vadim Cheianov , Vladimir I. Fal'ko

Locally-gated single-layer graphene sheets have unusual discrete energy states inside the potential barrier induced by a finite-width gate. These states are localized outside the Dirac cone of continuum states and are responsible for novel…

Mesoscale and Nanoscale Physics · Physics 2009-03-03 V. A. Yampol'skii , S. S. Apostolov , Z. A. Maizelis , Alex Levchenko , Franco Nori

Snake states and Aharonov-Bohm interferences are examples of magnetoconductance oscillations that can be observed in a graphene p-n junction. Even though they have already been reported in suspended and encapsulated devices including…

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