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Remarkable recent experiments have observed fractional quantum anomalous Hall (FQAH) effects at zero field and unusually high temperatures in twisted semiconductor bilayer $t$MoTe$_2$. Intriguing observations in these experiments such as…

Mesoscale and Nanoscale Physics · Physics 2024-04-03 Ahmed Abouelkomsan , Aidan P. Reddy , Liang Fu , Emil J. Bergholtz

The interplay between spontaneous symmetry breaking and topology can result in exotic quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state, which exhibits an integer quantum Hall effect at zero magnetic…

Fractional Chern insulators (FCI) with fractionally quantized Hall conductance at fractional fillings and an extended quantum anomalous Hall (EQAH) crystal with an integer quantized Hall conductance over an extended region of doping were…

Strongly Correlated Electrons · Physics 2025-02-03 Zezhu Wei , Ang-Kun Wu , Miguel Gonçalves , Shi-Zeng Lin

Electrons in topological flat bands can form novel topological states driven by the correlation effects. The penta-layer rhombohedral graphene/hBN moire superlattice has been shown to host fractional quantum anomalous Hall effect (FQAHE) at…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Zhengguang Lu , Tonghang Han , Yuxuan Yao , Jixiang Yang , Junseok Seo , Lihan Shi , Shenyong Ye , Kenji Watanabe , Takashi Taniguchi , Long Ju

We experimentally study electron transport between edge states in the fractional quantum Hall effect regime. We find an anomalous increase of the transport across the 2/3 incompressible fractional stripe in comparison with theoretical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. V. Deviatov , V. T. Dolgopolov , A. Lorke , W. Wegscheider , A. D. Wieck

In a dilute two-dimensional electron gas, Coulomb interactions can stabilize the formation of a Wigner crystal. Although Wigner crystals are topologically trivial, it has been predicted that electrons in a partially-filled band can break…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Ruiheng Su , Dacen Waters , Boran Zhou , Kenji Watanabe , Takashi Taniguchi , Ya-Hui Zhang , Matthew Yankowitz , Joshua Folk

Remarkable recent experiments on the moir\'e structure formed by pentalayer rhombohedral graphene aligned with a hexagonal Boron-Nitride substrate report the discovery of a zero field fractional quantum hall effect. These "(Fractional)…

Strongly Correlated Electrons · Physics 2024-12-10 Zhihuan Dong , Adarsh S. Patri , T. Senthil

The quantum anomalous Hall effect (QAHE) that emerges under broken time-reversal symmetry in topological insulators (TI) exhibits many fascinating physical properties for potential applications in nano-electronics and spintronics. However,…

We study temperature effect on anomalous viscosity of Graphene Hall fluid within quantum many-vortex hydrodynamics. The commonly observed filling fractions, $\nu$ in the range $0 < \nu < 2$ is considered. An expression for anomalous…

Mesoscale and Nanoscale Physics · Physics 2015-10-05 Rabiu Musah , Samuel Y. Mensah , Ibrahim Y. Seini , Suleimana S. Abukari

The quantum anomalous Hall (QAH) effect holds fundamental importance in topological physics and technological promise for electronics. It is generally believed that the QAH effect can only be realized in insulators. In this Letter, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

We predict the emergence a state of matter with intertwined ferromagnetism, charge order and topology in fractionally filled moir\'e superlattice bands. Remarkably, these quantum anomalous Hall crystals exhibit a quantized integer Hall…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 D. N. Sheng , Aidan P. Reddy , Ahmed Abouelkomsan , Emil J. Bergholtz , Liang Fu

The quantum anomalous Hall effect (QAHE) is a topological state of matter with a quantized Hall resistance. It has been observed in some two-dimensional insulating materials such as magnetic topological insulator films and twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-02-06 Kai-Zhi Bai , Bo Fu , Zhenyu Zhang , Shun-Qing Shen

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa

The anomalous Hall effect in metal-insulator-semiconductor structures having thin (Ga,Mn)As layers as a channel has been studied in a wide range of Mn and hole densities changed by the gate electric field. Strong and unanticipated…

Materials Science · Physics 2015-03-17 D. Chiba , A. Werpachowska , M. Endo , Y. Nishitani , F. Matsukura , T. Dietl , H. Ohno

The quantum anomalous Hall (QAH) effect is a novel topological spintronic phenomenon arising from inherent magnetization and spin-orbit coupling. Various theoretical and experimental efforts have been devoted in search of robust intrinsic…

Computational Physics · Physics 2017-01-18 Chengxi Huang , Jian Zhou , Haiping Wu , Kaiming Deng , Puru Jena , Erjun Kan

In magnetic topological phases of matter, the quantum anomalous Hall (QAH) effect is an emergent phenomenon driven by ferromagnetic doping, magnetic proximity effects and strain engineering. The realization of QAH states with multiple…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 R. Adhikari , V. V. Volobuev , B. Faina , G. Springholz , A. Bonanni

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

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

The quantum anomalous Hall effect (QAHE) is a robust topological phenomenon featuring quantized Hall resistance at zero magnetic field. We report the QAHE in a rhombohedral pentalayer graphene/monolayer WS2 heterostructure. Distinct from…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Tonghang Han , Zhengguang Lu , Yuxuan Yao , Jixiang Yang , Junseok Seo , Chiho Yoon , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Fan Zhang , Long Ju
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