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We apply Laughlin's gauge argument to analyze the $\nu=0$ quantum Hall effect observed in graphene when the Fermi energy lies near the Dirac point, and conclude that this necessarily leads to divergent bulk longitudinal resistivity in the…

Mesoscale and Nanoscale Physics · Physics 2009-08-09 S. Das Sarma , Kun Yang

Mechanical deformations of graphene induce a term in the Dirac Hamiltonian which is reminiscent of an electromagnetic vector potential. Strain gradients along particular lattice directions induce local pseudomagnetic fields and substantial…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Eran Sela , Yakov Bloch , Felix von Oppen , Moshe Ben Shalom

We perform transport measurements in high quality bilayer graphene pnp junctions with suspended top gates. At a magnetic field B=0, we demonstrate band gap opening by an applied perpendicular electric field, with an On/Off ratio up to…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Lei Jing , Jairo Velasco , Philip Kratz , Gang Liu , Wenzhong Bao , Marc Bockrath , Chun Ning Lau

We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Sora Cho , Matthew P. A. Fisher

We study the influence of the quantum geometry on the magnetic responses of quadratic band crossing semimetals. More explicitly, we examine the Landau levels, quantum Hall effect, and magnetic susceptibility of a general two-band…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Chang-geun Oh , Jun-Won Rhim , Bohm-Jung Yang

Can a generic magnetic insulator exhibit a Hall current? The quantum anomalous Hall effect (QAHE) is one example of an insulating bulk carrying a quantized Hall conductivity and other insulators (with zero Chern number) present zero Hall…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Daniel Kaplan , Tobias Holder , Binghai Yan

Graphene quantum dots are promising candidates for qubits due to weak spin-orbit and hyperfine interactions. The hyperfine interaction, controllable via isotopic purification, could be the key to further improving the coherence. Here, we…

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

In-plane magnetic fields offer a relatively unexplored opportunity to alter the band structure of stacks of 2D materials so that they exhibit desired physical properties. Here we show that an in-plane magnetic field combined with a…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Amarnath Chakraborty , Aleksandr Rodin , Shaffique Adam , Giovanni Vignale

Intrinsic magnetic topological insulators offer low disorder and large magnetic bandgaps for robust magnetic topological phases operating at higher temperatures. By controlling the layer thickness, emergent phenomena such as the Quantum…

The temperature dependence of the magneto-conductivity in graphene shows that the widths of the longitudinal conductivity peaks, for the N=1 Landau level of electrons and holes, display a power-law behavior following $\Delta \nu \propto…

Mesoscale and Nanoscale Physics · Physics 2009-12-17 A. J. M. Giesbers , U. Zeitler , L. A. Ponomarenko , R. Yang , K. S. Novoselov , A. K. Geim , J. C. Maan

The plateau-to-plateau transition in quantum Hall effect under high magnetic fields is a celebrated quantum phase transition between two topological states through either sweeping the magnetic field or tuning the carrier density. The recent…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Yi-Fan Zhao , Ruoxi Zhang , Ling-Jie Zhou , Ruobing Mei , Zi-Jie Yan , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

Recent experiments in the integer quantum Hall regime seem to find direct transitions from a quantum Hall state with Hall conductance $\sigma_{xy} = n e^2/h $ with integer $n > 1$, to an insulating state in weak magnetic fields. We study…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Xin Wan , R. N. Bhatt

We study the critical properties of the non-interacting integer quantum Hall to insulator transition (IQHIT) in a "dual" composite-fermion (CF) representation. A key advantage of the CF representation over electron coordinates is that at…

Strongly Correlated Electrons · Physics 2021-02-17 Kevin S. Huang , S. Raghu , Prashant Kumar

The Hall effect, which originates from the motion of charged particles in magnetic fields, has deep consequences for the description of materials, extending far beyond condensed matter. Understanding such an effect in interacting systems…

By theoretically analyzing the recent temperature dependent transport data in pentalayer graphene [Lu et al., arXiv:2408.10203], we establish that the experimentally observed transition from low-temperature quantum anomalous Hall effect to…

Mesoscale and Nanoscale Physics · Physics 2024-11-01 Sankar Das Sarma , Ming Xie

We report transport measurements in HgTe-based quantum wells with well width of 8 nm, corresponding to quantum spin Hall state, subject to in-plane magnetic field. In the absence of the magnetic field the local and nonlocal resistances…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , O. E. Raichev , N. N. Mikhailov , S. A. Dvoretsky

Doping a topological insulator (TI) film with transition metal ions can break its time-reversal symmetry and lead to the realization of the quantum anomalous Hall (QAH) effect. Prior studies have shown that the longitudinal resistance of…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Shu-Wei Wang , Di Xiao , Ziwei Dou , Moda Cao , Yi-Fan Zhao , Nitin Samarth , Cui-Zu Chang , Malcolm R. Connolly , Charles G. Smith

A quantum anomalous Hall (QAH) insulator is characterized by quantized Hall and vanishing longitudinal resistances at zero magnetic field that are protected against local perturbations and independent of sample details. This insensitivity…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 G. M. Ferguson , Run Xiao , Anthony R. Richardella , David Low , Nitin Samarth , Katja C. Nowack

We investigate the quantum anomalous Hall Effect (QAHE) and related chiral transport in the millimeter-size (Cr0.12Bi0.26Sb0.62)2Te3 films. With high sample quality and robust magnetism at low temperatures, the quantized Hall conductance of…

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