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The recent discovery of fractional quantum Hall states in graphene raises the question of whether the physics of graphene and its bilayer offers any advantages over GaAs-based materials in exploring strongly-correlated states of…

Mesoscale and Nanoscale Physics · Physics 2011-10-26 Z. Papic , R. Thomale , D. A. Abanin

Quantum anomalous Hall (QAH) insulators with high Chern number (C) enables multiple dissipationless edge channels for low-power-consumption electronics. We report the realization of multiple high-C QAH insulators including C=3,5,6, and 7 in…

We measured the conductance fluctuation of bi- and trilayer graphene devices prepared on mechanical exfoliated graphene by an all-dry, lithography-free process using an ultrathin quartz filament as a shadow mask. Reproducible fluctuations…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Neal E. Staley , Conor Puls , Ying Liu

We experimentally investigate the charge induction mechanism across gated, narrow, ballistic graphene devices with different degrees of edge disorder. By using magnetoconductance measurements as the probing technique, we demonstrate that…

We report several quantum interference effects in graphene grown by chemical vapor deposition. A crossover between weak localization and weak antilocalization effects is observed when varying the gate voltage and we discuss the underlying…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Nam-Hee Kim , Yun-Sok Shin , Serin Park , Hong-Seok Kim , Jun Sung Lee , Chi Won Ahn , Jeong-O Lee , Yong-Joo Doh

We report the fabrication of electrostatically defined nanostructures in encapsulated bilayer graphene, with leakage resistances below depletion gates as high as $R \sim 10~$G$\Omega$. This exceeds previously reported values of $R =~$10 -…

The excellent electronic and mechanical properties of graphene provide a perfect basis for high performance flexible electronic and sensor devices. Here, we present the fabrication and characterization of flexible graphene based Hall…

Applied Physics · Physics 2017-08-02 Zhenxing Wang , Mehrdad Shaygan , Martin Otto , Daniel Schall , Daniel Neumaier

The status of the ac quantum Hall effect is reviewed with emphasis on the theoretical development in recent years. In particular, the numerical approaches for the calculation of the frequency dependent Hall and longitudinal conductivities…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Ludwig Schweitzer

Interactions among electrons can give rise to striking collective phenomena when the kinetic energy of charge carriers is suppressed. One example is the fractional quantum Hall effect, in which correlations between electrons moving in two…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Benjamin E. Feldman , Benjamin Krauss , Jurgen H. Smet , Amir Yacoby

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…

The coherent, interlayer resistance of a misoriented, rotated interface between two stacks of AB graphite is determined for a variety of misorientation angles. The quantum-resistance of the ideal AB stack is on the order of 1 to 10 m$\Omega…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 K. M. Masum Habib , Somaia S. Sylvia , Supeng Ge , Mahesh Neupane , Roger K. Lake

To realize nanomechanical graphene-based pressure and gas sensors, it is beneficial to have a method to electrically readout the static displacement of a suspended graphene membrane. Capacitive readout, typical in micro-electro-mechanical…

The realization of fractional Chern insulators in moir\'e materials has sparked the search for further novel phases of matter in this platform. In particular, recent works have demonstrated the possibility of realizing quantum anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

Detecting conductance quantization in graphene nanostructures turned out more challenging than expected. The observation of well-defined conductance plateaus through graphene nanoconstrictions so far has only been accessible in the highest…

We present precision measurements of the fractional quantized Hall effect where the quantized resistance $R^{[1/3]}$ in the fractional quantum Hall state at filling factor 1/3 was compared with a quantized resistance $R^{[2]}$, represented…

Mesoscale and Nanoscale Physics · Physics 2017-06-30 Franz J. Ahlers , Martin Götz , Klaus Pierz

This short theoretical review deals with some essential ingredients for the understanding of the quantum Hall effect in graphene in comparison with the effect in conventional two-dimensional electron systems with a parabolic band…

Mesoscale and Nanoscale Physics · Physics 2012-02-03 M. O. Goerbig

We present low temperature transport measurements on dual-gated suspended trilayer graphene in the quantum Hall (QH) regime. We observe QH plateaus at filling factors {\nu}=-8, -2, 2, 6, and 10, in agreement with the full-parameter tight…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Yongjin Lee , Jairo Velasco , David Tran , Fan Zhang , Wenzhong Bao , Lei Jing , Kevin Myhro , Dmitry Smirnov , Chun Ning Lau

We use linear-response theory to evaluate the frequency-dependent conductivity of a system subject to a continuous quantum measurement of the current. Application of this formalism to graphene yields a consistent framework for discussing…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 J. Z. Bernad , M. Jaaskelainen , U. Zuelicke

We analyze the single particle states at the edges of disordered graphene quantum dots. We show that generic graphene quantum dots support a number of edge states proportional to circumference of the dot over the lattice constant. Our…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 M. Wimmer , A. R. Akhmerov , F. Guinea

Here we show that the Pfaffian state proposed for the $\frac52$ fractional quantum Hall states in conventional two-dimensional electron systems can be readily realized in a bilayer graphene at one of the Landau levels. The properties and…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Vadim M. Apalkov , Tapash Chakraborty
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