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Electrons in clean macroscopic samples of graphene exhibit an astonishing variety of quantum phases when strong perpendicular magnetic field is applied. These include integer and fractional quantum Hall states as well as symmetry broken…

Strongly Correlated Electrons · Physics 2018-07-25 Anffany Chen , R. Ilan , F. de Juan , D. I. Pikulin , M. Franz

Realizing graphene's promise as an atomically thin and tunable platform for fundamental studies and future applications in quantum transport requires the ability to electrostatically define the geometry of the structure and control the…

Mesoscale and Nanoscale Physics · Physics 2019-03-20 Rebeca Ribeiro-Palau , Shaowen Chen , Yihang Zeng , Kenji Watanabe , Takashi Taniguchi , James Hone , Cory R. Dean

Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective on the relation between condensed matter and high-energy physics. We discuss atomic collapse, a novel state of superheavy atoms stripped of…

Mesoscale and Nanoscale Physics · Physics 2009-05-30 Andrei Shytov , Mark Rudner , Nan Gu , Mikhail Katsnelson , Leonid Levitov

Graphene is the two-dimensional (2d) building block for carbon allotropes of every other dimensionality. It can be stacked into 3d graphite, rolled into 1d nanotubes, or wrapped into 0d fullerenes. Its recent discovery in free state has…

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev

One of the most important developments in condensed matter physics in recent years has been the discovery and characterization of graphene. A two-dimensional layer of Carbon arranged in a hexagonal lattice, graphene exhibits many…

High Energy Physics - Lattice · Physics 2015-09-23 Christopher Winterowd , Carleton DeTar , Savvas Zafeiropoulos

Graphene is a unique two-dimensional material with rich new physics and great promise for applications in electronic devices. Physical phenomena such as the half-integer quantum Hall effect and high carrier mobility are critically dependent…

It is demonstrated that both transmission and reflection coefficients associated to the Klein paradox at a step barrier are positive and less than unity, so that the particle-antiparticle pair creation mechanism commonly linked to this…

Quantum Physics · Physics 2008-02-23 Daniela Dragoman

We study clean, edge-contacted graphene/superconductor interfaces in both the quantum Hall (QH) and zero field regimes. We find that Andreev reflection is substantially stronger than at an interface with a semiconductor two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-06-30 Alexey Bondarev , Gu Zhang , Harold U. Baranger

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

Carbon nanotubes are a feverishly-studied topic in the scientific community as of late. Mathematically, they can be modeled with a quantum graph. Here we consider a structure somewhat similar to carbon nanotubes, another quantum graph that…

Mathematical Physics · Physics 2016-01-26 Jeremy Tillay

Adopting a purely two dimensional relativistic equation for graphene's carriers contradicts the Heisenberg uncertainty principle since it requires setting off-the-surface coordinate of a three-dimensional wavefunction to zero. Here we…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Victor Atanasov , Avadh Saxena

Charge-neutral graphene in the quantum Hall regime is an example of a quantum Hall ferromagnet in a complex spin-valley space. This system exhibits a plethora of phases, with the particular spin-valley order parameters chosen by the system…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Jincheng An , Ganpathy Murthy

Graphene is characterized by chiral electronic excitations. As such it provides a perfect testing ground for the production of Klein pairs (electron/holes). If confirmed, the standard results for barrier phenomena must be reconsidered with,…

Quantum Physics · Physics 2015-06-04 Stefano De Leo , Pietro Rotelli

Graphene is a 2D material with appealing electronic and optoelectronic properties. It is a zero-bandgap material with valence and conduction bands meeting in a single point (Dirac point) in the momentum space. Its conductivity can be…

Applied Physics · Physics 2020-03-10 V. Sorianello , G. Contestabile , M. Romagnoli

While crystalline two-dimensional materials have become an experimental reality during the past few years, an amorphous 2-D material has not been reported before. Here, using electron irradiation we create an sp2-hybridized one-atom-thick…

Materials Science · Physics 2011-03-22 J. Kotakoski , A. V. Krasheninnikov , U. Kaiser , J. C. Meyer

Scientists are always yearning for new and exciting ways to unlock graphene's true potential. However, recent reports suggest this two-dimensional material may harbor some unique properties, making it a viable candidate for use in…

Materials Science · Physics 2014-06-04 F. V. Kusmartsev , W. M. Wu , M. P. Pierpoint , K. C. Yung

A yet unexplored area in graphene electronics is the field of quantum ballistic transport through graphene nanostructures. Recent developments in the preparation of high mobility graphene are expected to lead to the experimental…

Graphene, a one-atom thick zero gap semiconductor [1, 2], has been attracting an increasing interest due to its remarkable physical properties ranging from an electron spectrum resembling relativistic dynamics [3-12] to ballistic transport…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 T. O. Wehling , K. S. Novoselov , S. V. Morozov , E. E. Vdovin , M. I. Katsnelson , A. K. Geim , A. I. Lichtenstein