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The multi-component nature of bilayer graphene (BLG), together with the ability to controllably tune between the various ground state orders, makes it a rich system in which to explore interaction driven phenomena. In the fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 J. I. A. Li , C. Tan , S. Chen , Y. Zeng , T. Taniguchi , K. Watanabe , J. Hone , C. R. Dean

The occurrence of Landau levels in quantum mechanics when a charged particle is subjected to a uniform magnetic field is well known. Considering the recent interest in the electronic properties of graphene, which admits a dispersion…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Aritra Ghosh

The integer quantum Hall state occurs when the Landau levels are fully occupied by the fermions, while the fractional quantum Hall state usually emerges when the Landau level is partially filled by the strongly correlated fermions or…

Strongly Correlated Electrons · Physics 2021-09-22 Wei-Wei Luo , Ai-Lei He , Yi-Fei Wang , Yuan Zhou , Chang-De Gong

We present magneto-Raman spectroscopy measurements on suspended graphene to investigate the charge carrier density-dependent electron-electron interaction in the presence of Landau levels. Utilizing gate-tunable magneto-phonon resonances,…

Mesoscale and Nanoscale Physics · Physics 2021-03-25 J. Sonntag , S. Reichardt , L. Wirtz , B. Beschoten , M. I. Katsnelson , F. Libisch , C. Stampfer

We study the competition between the long-range Coulomb interaction, disorder scattering, and lattice effects in the integer quantum Hall effect (IQHE) in graphene. By direct transport calculations, both $\nu=1$ and $\nu=3$ IQHE states are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. Sheng , D. N. Sheng , F. D. M. Haldane , Leon Balents

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 evaluate the transport gaps in the most prominent fractional quantum Hall states in the $\mathbf{n}{=}0$ and $\mathbf{n}{=}1$ Landau Levels of graphene, accounting for the Coulomb interaction, lattice-scale anisotropies, and one-body…

Mesoscale and Nanoscale Physics · Physics 2025-09-25 Jincheng An , Ajit C. Balram , Udit Khanna , Ganpathy Murthy

Motivated by the quantum hall effect, we study N two dimensional interacting fermions in a large magnetic field limit. We work in a bounded domain, ensuring finite degeneracy of the Landau levels. In our regime, several levels are fully…

Mathematical Physics · Physics 2024-11-22 Denis Périce

Since the emergence of graphene, we have seen several proposals for the realization of Landau lasers tunable over the terahertz frequency range. The hope was that the non-equidistance of the Landau levels from Dirac fermions would suppress…

We investigate low-temperature magneto-transport in recently developed, high-quality multi-terminal suspended bilayer graphene devices, enabling the independent measurement of the longitudinal and transverse resistance. We observe clear…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Dong-Keun Ki , Vladimir I. Fal'ko , Dmitry A. Abanin , Alberto F. Morpurgo

For bilayer graphene in a magnetic field at the neutral point, we derive and solve a full set of gap equations including all Landau levels and taking into account the dynamically screened Coulomb interaction. There are two types of the…

Mesoscale and Nanoscale Physics · Physics 2012-07-02 E. V. Gorbar , V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

Double-layer electron systems in the quantum Hall regime have excitonic condensate ground states when the layers are close together and the total Landau level filling factor is close to an odd integer. In this paper we discuss the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Allan H. MacDonald , Anton A. Burkov , Yogesh N. Joglekar , Enrico Rossi

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 report pronounced magnetoconductance oscillations observed on suspended bilayer and trilayer graphene devices with mobilities up to 270,000 cm2/Vs. For bilayer devices, we observe conductance minima at all integer filling factors nu…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Wenzhong Bao , Zeng Zhao , Hang Zhang , Gang Liu , Philip Kratz , Lei Jing , Jairo Velasco , Dmitry Smirnov , Chun Ning Lau

Bilayer graphene is susceptible to a family of unusual broken symmetry states with spin and valley dependent layer polarization. We report on a microscopic study of the domain walls in these systems, demonstrating that they have interesting…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 Xiao Li , Fan Zhang , Qian Niu , A. H. MacDonald

Landau level gaps are important parameters for understanding electronic interactions and symmetry-broken processes in bilayer graphene (BLG). Here we present transport spectroscopy measurements of LL gaps in double-gated suspended BLG with…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 J. Velasco , Y. Lee , Z. Zhao , Lei Jing , P. Kratz , Marc Bockrath , C. N. Lau

We consider graphene in the presence of external magnetic field and elastic deformations that cause emergent magnetic field. The total magnetic field results in the appearance of Landau levels in the spectrum of quasiparticles. In addition,…

Mesoscale and Nanoscale Physics · Physics 2016-10-04 Z. V. Khaidukov , M. A. Zubkov

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

We describe the effects of vacancies on the electronic properties of a graphene sheet in the presence of a perpendicular magnetic field: from a single defect to an organized vacancy lattice. An isolated vacancy is the minimal possible inner…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 A. L. C. Pereira , P. A. Schulz

Recent studies show that the electronic structures of graphene can be modified by strain and it was predicted that strain in graphene can induce peaks in the local density of states (LDOS) mimicking Landau levels (LLs) generated in the…

Strongly Correlated Electrons · Physics 2015-05-30 Lin He , Hui Yan , Yi Sun , Jia-Cai Nie , Moses H. W. Chan
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