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When two graphene layers are rotated from AA or AB configuration by a small angle, the band structure changes dramatically. Numerical calculations have shown that, at certain discrete angles called magic angles, the low energy bands become…

Mesoscale and Nanoscale Physics · Physics 2018-05-24 Hridis K. Pal

Ideal $C=1$ Chern bands exhibit a Landau level correspondence: they factorize as a lowest Landau levels and a spinor wavefunction that spans the layer index. We demonstrate that, in single Dirac moir\'e models, the spinor develops generally…

Mesoscale and Nanoscale Physics · Physics 2024-08-26 Daniele Guerci , Jie Wang , Christophe Mora

Twisted bilayer graphene (TBG) exhibits a wide range of intriguing physical properties, such as superconductivity, ferromagnetism, and superlubricity. Depending on the twist angle, periodic moir\'e superlattices form in twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Vahid Morovati , Zhiming Xue , Kenneth M. Liechti , Rui Huang

This article reviews the basic theoretical aspects of graphene, a one atom thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

Lattice deformations couple to the low energy electronic excitations of graphene as vector fields similar to the electromagnetic potential \cite{SA02b,VKG10}. The suggestion that certain strain configurations would be able to induce pseudo…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Eduardo V. Castro , Miguel A. Cazalilla , María A. H. Vozmediano

We report an experimental study of carrier density (n), displacement field (D) and twist angle ({\theta}) dependence of temperature (T)-linear resistivity in twisted double bilayer graphene (TDBG). For a large twist angle…

In twisted bilayer graphene, long-wavelength lattice fluctuations on the scale of the moir\'e period are dominated by phason modes, i.e., acoustic branches of the incommensurate lattice resulting from coherent superpositions of optical…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Héctor Ochoa

We report on systematic study of electronic transport in low-biased, disordered graphene nanowires. We reveal the emergence of unipolar transport as the defect concentration increases beyond 0.3\% where an almost insulating behaviour is…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 Zakaria Moktadir , Shuojin Hang , Hiroshi Mizuta

We consider magnetic breakdown in twisted bilayer graphene where electrons may hop between semiclassical $k$-space trajectories in different layers. These trajectories within a doubled Brillouin zone constitute a network in which an…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Chi-Ken Lu , H. A. Fertig

The emergence of flat electronic bands and of the recently discovered strongly correlated and superconducting phases in twisted bilayer graphene crucially depends on the interlayer twist angle upon approaching the magic angle $\theta_M…

We probe electronic excitations between Landau levels in freestanding $N-$layer graphene over a broad energy range, with unprecedented spectral and spatial resolution, using micro-magneto Raman scattering spectroscopy. A characteristic…

Mesoscale and Nanoscale Physics · Physics 2014-10-03 Stéphane Berciaud , Marek Potemski , Clément Faugeras

The electronic properties of van der Waals (vdW) structures can be substantially modified by the moire superlattice potential, which strongly depends on the twist angle among the compounds. In twisted bilayer graphene (TBG), two low-energy…

Materials Science · Physics 2020-12-02 Ya-Ning Ren , Yu Zhang , Yi-Wen Liu , Lin He

Charge carriers in a graphene sheet, a single layer of graphite, exhibit much distinctive characteristics to those in other two-dimensional electronic systems because of their chiral nature. In this report, we focus on the observation of…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Dong-Keun Ki , Dongchan Jeong , Jae-Hyun Choi , Kee-Su Park , Hu-Jong Lee

The specific band structure of graphene, with its unique valley structure and Dirac neutrality point separating hole states from electron states has led to the observation of new electronic transport phenomena such as anomalously quantized…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Nikolaos Tombros , Csaba Jozsa , Mihaita Popinciuc , Harry T. Jonkman , Bart J. van Wees

We have measured a strong increase of the low-temperature resistivity $\rho_{xx}$ and a zero-value plateau in the Hall conductivity $\sigma_{xy}$ at the charge neutrality point in graphene subjected to high magnetic fields up to 30 T. We…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 A. J. M. Giesbers , L. A. Ponomarenko , K. S. Novoselov , A. K. Geim , M. I. Katsnelson , J. C. Maan , U. Zeitler

We have investigated the behavior of the resistance of graphene at the $n=0$ Landau Level in an intense magnetic field $H$. Employing a low-dissipation technique (with power $P<$3 fW), we find that, at low temperature $T$, the resistance at…

Mesoscale and Nanoscale Physics · Physics 2009-04-01 Joseph G. Checkelsky , Lu Li , N. P. Ong

The electronic band structure of twisted bilayer graphene develops van Hove singularities whose energy depends on the twist angle between the two layers. Using Raman spectroscopy, we monitor the evolution of the electronic band structure…

The relativistic-like behavior of electrons in graphene significantly influences the interaction properties of these electrons in a quantizing magnetic field, resulting in more stable fractional quantum Hall effect states as compared to…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Tapash Chakraborty , Vadim Apalkov

Van Hove singularities (VHS's) in the density of states play an outstanding and diverse role for the electronic and thermodynamic properties of crystalline solids. At the critical point the Fermi surface connectivity changes and topological…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 Youngwook Kim , Patrick Herlinger , Pilkyung Moon , Mikito Koshino , Takashi Taniguchi , Kenji Watanabe , Jurgen. H Smet

Graphene has emerged as a paradigmatic material in condensed matter physics due to its exceptional electronic, mechanical, and thermal properties. A deep understanding of its thermoelectric transport behavior is crucial for the development…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Juan A. Cañas , Daniel A. Bonilla , A. Martín-Ruiz