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The nature of fractional quantum Hall (FQH) states is determined by the interplay between the Coulomb interaction and the symmetries of the system. The unique combination of spin, valley, and orbital degeneracies in bilayer graphene is…

Mesoscale and Nanoscale Physics · Physics 2014-07-22 Angela Kou , Benjamin E. Feldman , Andrei J. Levin , Bertrand I. Halperin , Kenji Watanabe , Takashi Taniguchi , Amir Yacoby

We report on transport measurements of dual-gated, single-layer graphene devices in the quantum Hall regime, allowing for independent control of the filling factors in adjoining regions. Progress in device quality allows us to study…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 F. Amet , J. R. Wiliams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

We report on magnetotransport measurements of multi-terminal suspended graphene devices. Fully developed integer quantum Hall states appear in magnetic fields as low as 2 T. At higher fields the formation of longitudinal resistance minima…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Fereshte Ghahari , Yue Zhao , Paul Cadden-Zimansky , Kirill Bolotin , Philip Kim

We have measured the quantum-Hall activation gaps in graphene at filling factors $\nu=2$ and $\nu=6$ for magnetic fields up to 32 T and temperatures from 4 K to 300 K. The $\nu =6$ gap can be described by thermal excitation to broadened…

Mesoscale and Nanoscale Physics · Physics 2007-11-19 A. J. M. Giesbers , U. Zeitler , M. I. Katsnelson , L. A. Ponomarenko , T. M. G. Mohiuddin , J. C. Maan

We investigate transport in a gate-defined graphene quantum point contact in the quantum Hall regime. Edge states confined to the interface of p and n regions in the graphene sheet are controllably brought together from opposite sides of…

Mesoscale and Nanoscale Physics · Physics 2011-07-15 S. Nakaharai , J. R. Williams , C. M. Marcus

We analyze the electronic properties of a simple stacking defect in Bernal graphite. We show that a bound state forms, which disperses as $|\bfk-\bfK|^3$ in the vicinity of either of the two inequivalent zone corners $\bfK$. In the presence…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Daniel P. Arovas , Francisco Guinea

In a multi-layer electronic system, stacking order provides a rarely-explored degree of freedom for tuning its electronic properties. Here we demonstrate the dramatically different transport properties in trilayer graphene (TLG) with…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 W. Bao , L. Jing , Y. Lee , J. Velasco , P. Kratz , D. Tran , B. Standley , M. Aykol , S. B. Cronin , D. Smirnov , M. Koshino , E. McCann , M. Bockrath , C. N. Lau

We observed broken-symmetry quantum Hall effects and level crossings between spin- and valley- resolved Landau levels (LLs) in Bernal stacked trilayer graphene. When the magnetic field was tilted with respect to sample normal from…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Yuta Asakawa , Satoru Masubuchi , Naoko Inoue , Sei Morikawa , Kenji Watanabe , Takashi Taniguchi , Tomoki Machida

Owing to the spin, valley, and orbital symmetries, the lowest Landau level (LL) in bilayer graphene exhibits multicomponent quantum Hall ferromagnetism. Using transport spectroscopy, we investigate the energy gaps of integer and fractional…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Yanmeng Shi , Yongjin Lee , Shi Che , Ziqi Pi , Timothy Espiritu , Petr Stepanov , Dmitry Smirnov , Chun Ning Lau , Fan Zhang

By taking into account the charge and spin orderings and the exchange interactions between all the Landau levels, we investigate the integer quantum Hall effect of electrons in graphene using the mean-field theory. At the fillings $\nu =…

Strongly Correlated Electrons · Physics 2017-02-08 Xin-Zhong Yan , C. S. Ting

Double-gated graphene devices provide an important platform for understanding electrical and optical properties of graphene. Here we present transport measurements of single layer, bilayer and trilayer graphene devices with suspended top…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 J. Velasco , Y. Lee , L. Jing , G. Liu , W. Bao , C. N. Lau

The few-layer graphene quantum dot provides a promising platform for quantum computing with both spin and valley degrees of freedom. Gate-defined quantum dots in particular can avoid noise from edge disorders. In connection with the recent…

Mesoscale and Nanoscale Physics · Physics 2017-05-11 Haonan Xiong , Wentao Jiang , Yipu Song , Luming Duan

We report on quantum capacitance measurements of high quality, graphite- and hexagonal boron nitride encapsulated Bernal stacked trilayer graphene devices. At zero applied magnetic field, we observe a number of electron density- and…

We show through both theoretical arguments and numerical calculations that graphene discerns an unconventional sequence of quantized Hall conductivity, when subject to both magnetic fields (B) and strain. The latter produces time-reversal…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

Quantum Hall (QH) interferometry provides an archetypal platform for the experimental realization of braiding statistics of fractional QH states. However, the complexity of observing fractional statistics requires phase coherence over the…

We report on our accurate evaluation of spin polarizations of the ground state and particle-hole gaps for partially-filled lowest Landau level, observed in recent experiments on graphene subjected to ultra-high magnetic fields. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tapash Chakraborty , Pekka Pietilainen

The Integer Quantum Hall Effect (IQHE) is a distinctive phase of two-dimensional electronic systems subjected to a perpendicular magnetic field. Thus far, the IQHE has been observed in semiconductor heterostructures and in mono- and…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Kumar , W. Escoffier , J. M. Poumirol , C. Faugeras , D. P. Arovas , M. M. Fogler , F. Guinea , S. Roche , M. Goiran , B. Raquet

We introduce a novel two-dimensional electronic system with ultrastrong interlayer interactions, namely twisted bilayer graphene with a large twist angle, as an ideal ground for realizing interlayer-coherent excitonic condensates. In these…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Dohun Kim , Byungmin Kang , Yong-Bin Choi , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee , Gil Young Cho , Youngwook Kim

We report on a study of a bilayer two-dimensional electron gas at Landau level filling factor $\nu=2$. The system exhibits both magnetic and spontaneous interlayer phase coherence broken symmetries. We propose a 3-parameter Slater…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. MacDonald , R. Rajaraman , T. Jungwirth

Bilayer graphene provides a unique platform to explore the rich physics in quantum Hall effect. The unusual combination of spin, valley and orbital degeneracy leads to interesting symmetry broken states with electric and magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Manabendra Kuiri , Anindya Das