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We show that the low-energy electronic structure of graphene under a one-dimensional inhomogeneous magnetic field can be mapped into that of graphene under an electric field or vice versa. As a direct application of this transformation, we…

Mesoscale and Nanoscale Physics · Physics 2010-05-31 Liang Zheng Tan , Cheol-Hwan Park , Steven G. Louie

We study the changes induced by the effective gauge field due to ripples on the low energy electronic structure of graphene. We show that zero energy Landau levels will form, associated to the smooth deformation of the graphene layer, when…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Guinea , M. I. Katsnelson , M. A. H. Vozmediano

We present infrared transmission spectroscopy study of the inter-Landau-level excitations in quasi-neutral epitaxial graphene nanoribbon arrays. We observed a substantial deviation in energy of the $L_{0(-1)}$$\to$$L_{1(0)}$ transition from…

Mesoscale and Nanoscale Physics · Physics 2013-07-02 J. M. Poumirol , W. Yu , X. Chen , C. Berger , W. A. de Heer , M. L. Smith , T. Ohta , W. Pan , M. O. Goerbig , D. Smirnov , Z. Jiang

We review recent work on superlattices in monolayer and bilayer graphene. We highlight the role of the quasiparticle chirality in generating new Dirac fermion modes with tunable anisotropic velocities in one dimensional (1D) superlattices…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Matthew Killi , Si Wu , Arun Paramekanti

We report low temperature high magnetic field scanning tunneling microscopy and spectroscopy of graphene flakes on graphite that exhibit the structural and electronic properties of graphene decoupled from the substrate. Pronounced peaks in…

Mesoscale and Nanoscale Physics · Physics 2009-06-11 Guohong Li , Adina Luican , Eva Y. Andrei

Suspended Bernal-stacked graphene multilayers up to an unexpectedly large thickness exhibit a broken-symmetry ground state, whose origin remains to be understood. Here we show that a finite-temperature second order phase transition occurs…

Mesoscale and Nanoscale Physics · Physics 2018-11-27 Youngwoo Nam , Dong-Keun Ki , David Soler-Delgado , Alberto F. Morpurgo

We consider graphene bilayer in a constant magnetic field of arbitrary orientation (i.e. tilted with respect to the graphene plane). In the low energy approximation to tight binding model with Peierls substitution, we find the exact…

Mesoscale and Nanoscale Physics · Physics 2010-08-04 Young-Hwan Hyun , Yoonbai Kim , Corneliu Sochichiu , Min-Young Choi

Scanning tunneling microscopy and spectroscopy in magnetic field was used to study Landau quantization in graphene and its dependence on charge carrier density. Measurements were carried out on exfoliated graphene samples deposited on a…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Adina Luican , Guohong Li , Eva Y. Andrei

We develop a theoretical framework for Landau levels in quasi-periodic twisted bilayer graphene at a $30^\circ$ twist angle, a system without translational symmetry but possessing 12-fold rotational symmetry. Using a quasi-band formalism,…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Masaru Hitomi , Takuto Kawakami , Mikito Koshino

We present a comprehensive study of the band structure of two- and three-dimensional hexagonal layered materials using Landau Level optical Hall effect spectroscopy investigations, employing graphene and graphite as model systems. We study…

Materials Science · Physics 2017-05-24 Philipp Kühne , Vanya Darakchieva , Mathias Schubert

We study the Landau quantization of the electronic spectrum for graphene bilayers that are rotationally faulted to produce periodic superlattices. Commensurate twisted bilayers exist in two families distinguished by their sublattice…

Mesoscale and Nanoscale Physics · Physics 2011-10-20 M. Kindermann , E. J. Mele

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, evolve into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 K. Shizuya

The degeneracy of Landau levels flanking charge neutrality in twisted bilayer graphene is known to change from eight-fold to four-fold when the twist angle is reduced to values near the magic angle of $\approx 1.05^\circ$. This degeneracy…

Strongly Correlated Electrons · Physics 2019-09-11 Ya-Hui Zhang , Hoi Chun Po , T. Senthil

In the presence of strong magnetic fields the electronic bandstructure of graphene drastically changes. The Dirac cone collapses into discrete non-equidistant Landau levels, which can be externally tuned by changing the magnetic field. In…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Samuel Brem , Florian Wendler , Ermin Malic

Fractional Quantum Hall effect (FQHE) is a unique many-body phenomenon, which was discovered in a two-dimensional electron system placed in a strong perpendicular magnetic field. It is entirely due to the electron-electron interactions…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Vadym Apalkov , Tapash Chakraborty

In this paper, we present a high resolution angle resolved photoemission spectroscopy (ARPES) study of the electronic properties of graphite. We found that the nature of the low energy excitations in graphite is particularly sensitive to…

Strongly Correlated Electrons · Physics 2007-05-23 S. Y. Zhou , G. -H. Gweon , A. Lanzara

The most recognizable feature of graphene's electronic spectrum is its Dirac point around which interesting phenomena tend to cluster. At low temperatures, the intrinsic behavior in this regime is often obscured by charge inhomogeneity but…

We develop a vortex metal theory for partial filled Landau Level at $\nu=\frac{1}{2n}$, whose ground state contains a composite Fermi surface(FS) formed by the vortex of electrons. In the projected Landau Level limit, the composite Fermi…

Strongly Correlated Electrons · Physics 2018-04-13 Yizhi You

The quantum Hall physics of bilayer graphene is extremely rich due to the interplay between a layer degree of freedom and delicate fractional states. Recent experiments show that when an electric field perpendicular to the bilayer causes…

Strongly Correlated Electrons · Physics 2023-06-27 Michael P. Zaletel , Scott Geraedts , Zlatko Papić , Edward H. Rezayi

Bilayer graphene has drawn significant attention due to the opening of a band gap in its low energy electronic spectrum, which offers a promising route to electronic applications. The gap can be either tunable through an external electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Gregory M. Rutter , Suyong Jung , Nikolai N. Klimov , David B. Newell , Nikolai B. Zhitenev , Joseph A. Stroscio