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An analysis of the stability of topological states induced by Coulomb repulsion on decorated honeycomb lattices is presented. Based on a mean-field treatment of a spinless extended Hubbard model on the decorated honeycomb lattice we show…

Strongly Correlated Electrons · Physics 2020-05-22 Manuel Fernandez Lopez , Jaime Merino

Quantum anomalous Hall (QAH) phase is a two-dimensional bulk ferromagnetic insulator with a nonzero Chern number in presence of spin-orbit coupling (SOC) but absence of applied magnetic fields. Associated metallic chiral edge states host…

Strongly Correlated Electrons · Physics 2016-06-28 Jian Zhou , Qi-Feng Liang , Hongming Weng , Y. B. Chen , Shu-Hua Yao , Yan-Feng Chen , Jinming Dong , Guang-Yu Guo

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 fractional quantum Hall (FQH) effect at the filling number $\nu=5/2$ is a primary candidate for non-Abelian topological order, while the fate of such a state in the presence of random disorder has not been resolved. Here, we address…

Strongly Correlated Electrons · Physics 2019-08-07 W. Zhu , D. N. Sheng

The fractional quantum anomalous Hall (FQAH) states or fractional Chern insulator (FCI) states have been studied on two-dimensional (2D) flat lattices with different boundary conditions. Here, we propose the geometry-dependent FCI/FQAH…

Strongly Correlated Electrons · Physics 2019-04-10 Ai-Lei He , Wei-Wei Luo , Yi-Fei Wang , Chang-De Gong

We show that every even-denominator fractional quantum Hall (FQH) state possesses at least two robust, topologically distinct gapless edge phases if charge conservation is broken at the boundary by coupling to a superconductor. The new edge…

Strongly Correlated Electrons · Physics 2015-07-24 Maissam Barkeshli , Chetan Nayak

The properties of the isotropic incompressible $\nu=5/2$ fractional quantum Hall (FQH) state are described by a paired state of composite fermions in zero (effective) magnetic field, with a uniform $p_x+ip_y$ pairing order parameter, which…

Strongly Correlated Electrons · Physics 2019-06-19 Luiz H. Santos , Yuxuan Wang , Eduardo Fradkin

It has been well-known that topological phenomena with fractional excitations, i.e., the fractional quantum Hall effect (FQHE) \cite{Tsui1982} will emerge when electrons move in Landau levels. In this letter, we report the discovery of the…

Strongly Correlated Electrons · Physics 2011-07-13 D. N. Sheng , Zheng-Cheng Gu , Kai Sun , L. Sheng

Collective modes of exotic quantum fluids reveal underlying physical mechanisms responsible for emergent complex quantum ground states. We observe unexpected new collective modes in the fractional quantum Hall (FQH) regime:…

Mesoscale and Nanoscale Physics · Physics 2019-11-05 Lingjie Du , Ursula Wurstbauer , Ken W. West , Loren N. Pfeiffer , Saeed Fallahi , Geoff C. Gardner , Michael J. Manfra , Aron Pinczuk

We propose that a quantum anomalous Hall insulator (QAHI) can be realized in a nanopatterned two-dimensional electron gas (2DEG) with a small in-plane magnetic field and a high carrier density. The Berry curvatures originating from the…

Materials Science · Physics 2011-08-25 Yongping Zhang , Chuanwei Zhang

The inverted band structure discovered in InAs/GaSb quantum well (QW) is found to host the topological quantum spin Hall (QSH) states. A QSH insulator hosts counterpropagating spin-polarized edge states that are protected by the…

Mesoscale and Nanoscale Physics · Physics 2022-08-30 Sushmita Saha , Alestin Mawrie

Quantum anomalous Hall effect (QAHE) has been experimentally observed in magnetically doped topological insulators. However, ultra-low temperature (usually below 300 mK), which is mainly attributed to inhomogeneous magnetic doping, becomes…

Materials Science · Physics 2020-08-26 Shifei Qi , Ruiling Gao , Maozhi Chang , Tao Hou , Yulei Han , Zhenhua Qiao

The fractional quantum Hall state (FQHS) observed at a half-filled Landau level in an interacting two-dimensional electron system (2DES) is among the most exotic states of matter as its quasiparticles are expected to be Majoranas with…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 Md. Shafayat Hossain , Meng K. Ma , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

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

We investigate the emergence of both quantum anomalous Hall and disorder-induced Anderson Chern insulating phases in two dimensional hexagonal lattices, with antiferromagnetically ordered 3Q state and in the absence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Papa Bireme Ndiaye , Adel Abbout , Aurelien Manchon

The fractional quantum Hall state (FQHS), an incompressible liquid state hosting anyonic excitations with fractional charge and statistics, represents a compelling many-body phase observed in clean two-dimensional (2D) carrier systems. The…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Chengyu Wang , A. Gupta , S. K. Singh , L. N. Pfeiffer , K. W. Baldwin , R. Winkler , M. Shayegan

The quantized version of anomalous Hall effect realized in magnetic topological insulators (MTIs) has great potential for the development of topological quantum physics and low-power electronic/spintronic applications. To enable…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Yuchen Ji , Zheng Liu , Peng Zhang , Lun Li , Shifei Qi , Peng Chen , Yong Zhang , Qi Yao , Zhongkai Liu , Kang L. Wang , Zhenhua Qiao , Xufeng Kou

The fractional quantum Hall (FQH) states are exotic quantum many-body phases whose elementary charged excitations are neither bosons nor fermions but anyons, obeying fractional braiding statistics. While most FQH states are believed to have…

Single-component fractional quantum Hall states (FQHSs) at even-denominator filling factors may host non-Abelian quasiparticles that are considered to be building blocks of topological quantum computers. Such states, however, are rarely…

Mesoscale and Nanoscale Physics · Physics 2024-01-01 Chengyu Wang , A. Gupta , S. K. Singh , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. Baldwin , R. Winkler , M. Shayegan