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The fractional quantum Hall effect (FQHE) occurs at certain magnetic field strengths B*(n) in a two-dimensional electron gas of density n at strong magnetic fields perpendicular to the plane of the electron gas. At these magnetic fields…

Condensed Matter · Physics 2007-05-23 O. Heinonen , M. I. Lubin , M. D. Johnson

Since Edwin Halls groundbreaking discovery of the Hall effect in 1879, magnetism, spin, and quantization have been expanding the scope of Hall effects, continuously driving transformative progress in science and technology. Among them, the…

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip Kim

Full quantum-mechanical description of electrons moving in 3D structures with unidirectional periodic modulation subject to tilted magnetic fields requires an extensive numerical calculation. To understand magneto-oscillations in such…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. A. Goncharuk , L. Smrcka , J. Kucera , K. Vyborny

Using transport measurements, we investigate multicomponent quantum Hall (QH) ferromagnetism in dual-gated rhombohedral trilayer graphene (r-TLG), in which the real spin, orbital pseudospin and layer pseudospins of the lowest Landau level…

Mesoscale and Nanoscale Physics · Physics 2016-01-19 Y. Lee , D. Tran , K. Myhro , J. Velasco , N. Gillgren , J. M. Poumirol , D. Smirnov , Y. Barlas , C. N. Lau

We theoretically study the electronic band structure and the Hall effect in the negatively-curved three-dimensional (3D) graphene network in magnetic fields. We found that special energy regions appear above and below the zero-energy Landau…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Toshiki Kiryu , Mikito Koshino

In layered samples which exhibit a bulk quantum Hall effect (QHE), a two-dimensional (2d) surface ``sheath" of gapless excitations is expected. These excitations comprise a novel 2d chiral quantum liquid which should dominate the low…

Condensed Matter · Physics 2009-10-28 Leon Balents , Matthew P. A. Fisher

We investigate the possibility of a strongly correlated Fractional Quantum Hall (FQH) state in bulk three dimensional isotropic (not layered) materials. We find that a FQH state can exist at low densities only if it is accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2011-07-13 F. J. Burnell , B. Andrei Bernevig , D. P. Arovas

The present paper corresponds to the third work of the author related to the magnetotransport properties concerning on the graphene systems. In the first one the integer quantum Hall effect in the monolayer graphene, (MG), MGIQHE, was…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 M. A. Hidalgo , R. Cangas

We investigate the quantum Hall effect in graphene. We argue that in graphene in presence of an external magnetic field there is dynamical generation of mass by a rearrangement of the Dirac sea. We show that the mechanism breaks the lattice…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Paolo Cea

Low-energy electronic states in monolayer and bilayer graphenes present chiral charge carriers with unique and unusual properties of interest for electronic applications. Here, we report the magnetotransport measurements in the ABC-stacked…

Strongly Correlated Electrons · Physics 2011-12-05 Liyuan Zhang , Yan Zhang , J. Camacho , M. Khodas , I. A. Zaliznyak

Due to the deep connection with the quantum geometry of electronic Bloch wavefunctions, the second-order nonlinear Hall effect (NLHE) has been an attractive topic since its proposal. However, studies on NLHE under a magnetic field have been…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Jinrui Zhong , Huimin Peng , Yuqing Hu , Qi Feng , Qiuli Li , Shihao Zhang , Qinsheng Wang , Jinhai Mao , Junxi Duan , Yugui Yao

Exotic phenomenon can be achieved in quantum materials by confining electronic states into two dimensions. For example, relativistic fermions are realised in a single layer of carbon atoms, the quantized Hall effect can result from…

We have studied the breakdown of the integer quantum Hall (QH) effect with fully broken symmetry, in an ultra-high mobility graphene device sandwiched between two single crystal hexagonal boron nitride substrates. The evolution and…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Shibing Tian , Pengjie Wang , Xin Liu , Junbo Zhu , Hailong Fu , Takashi Taniguch , Kenji Watanabe , Jian-Hao Chen , Xi Lin

An intriguing observation on the quantum anomalous Hall effect (QAHE) in magnetic topological insulators (MTIs) is the dissipative edge states, where quantized Hall resistance is accompanied by nonzero longitudinal resistance. We…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yanxia Xing , Fuming Xu , Qing-feng Sun , Jian Wang , Yu-gui Yao

The transport properties of the two-dimensional system in HgTe-based quantum wells containing simultaneously electrons and holes of low densities are examined. The Hall resistance, as a function of perpendicular magnetic field, reveals an…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 O. E. Raichev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

Interacting electrons confined to their lowest Landau level in a high magnetic field can form a variety of correlated states, some of which manifest themselves in a Hall effect. Although such states have been predicted to occur in three…

Strongly Correlated Electrons · Physics 2023-06-02 S. Galeski , X. Zhao , R. Wawrzyńczak , T. Meng , T. Förster , P. M. Lozano , S. Honnali , N. Lamba , T. Ehmcke , A. Markou , Q. Li , G. Gu , W. Zhu , J. Wosnitza , C. Felser , G. F. Chen , J. Gooth

The fractional quantum Hall (FQH) effect refers to the strongly-correlated phenomena and the associated quantum phases of matter realized in a two-dimensional gas of electrons placed in a large perpendicular magnetic field. In such systems,…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Zlatko Papić , Ajit C. Balram

Quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon in condensed matter physics. Until now, the only experimental realization of the QAHE has been observed for Cr/V-doped (Bi,Sb)$_2$Te$_3$ but at extremely low…

Mesoscale and Nanoscale Physics · Physics 2018-06-08 Xinzhou Deng , Hualing Yang , Shifei Qi , Xiaohong Xu , Zhenhua Qiao

The orbital Hall effect (OHE) in light transition metals offers a promising route to generate orbital torques for efficient magnetization control, providing an alternative to conventional spin Hall effect approaches that rely on heavy…

Materials Science · Physics 2026-01-06 Gaurav K. Shukla , Yoshio Miura , Mayank K. Singh , Shinji Isogami
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