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Recent experimental advances have uncovered fractional Chern insulator (FCI) states in twisted MoTe$_2$ (tMoTe$_2$) systems under zero magnetic field. Understanding the interaction effects on topological phases within realistic model…

强关联电子 · 物理学 2026-02-03 Jialin Chen , Qiaoyi Li , Xiaoyu Wang , Wei Li

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…

强关联电子 · 物理学 2019-04-10 Ai-Lei He , Wei-Wei Luo , Yi-Fei Wang , Chang-De Gong

The quantum anomalous Hall (QAH) effect is predicted to possess, at zero magnetic field, chiral edge channels that conduct spin polarized current without dissipation. While edge channels have been observed in previous experimental studies…

介观与纳米尺度物理 · 物理学 2015-08-20 Cui-Zu Chang , Weiwei Zhao , Duk Y. Kim , Peng Wei , J. K. Jain , Chaoxing Liu , Moses H. W. Chan , Jagadeesh S. Moodera

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…

Fractional Chern insulators (FCIs) showing a transport effect with fractionally quantized Hall plateaus emerging under zero magnetic field, provide a radically new opportunity to engineer topological quantum electronics. By construction of…

The thermal Hall conductance is a universal and topological property which characterizes the fractional quantum Hall (FQH) state. The quantized value of the thermal Hall conductance has only recently been measured experimentally in integer…

强关联电子 · 物理学 2019-04-22 Amit Aharon-Steinberg , Yuval Oreg , Ady Stern

Interlayer exchange coupling (IEC) between two magnetic layers sandwiched by a nonmagnetic spacer layer plays a critical role in shaping the magnetic properties of such heterostructures. The quantum anomalous Hall (QAH) effect has been…

介观与纳米尺度物理 · 物理学 2025-09-09 Ruoxi Zhang , Yi-Fan Zhao , Ling-Jie Zhou , Deyi Zhuo , Zi-Jie Yan , Chao-Xing Liu , Moses H. W. Chan , Chui-Zhen Chen , Cui-Zu Chang

We study novel itinerant phases that can be accessed by doping a fractional quantum anomalous Hall (FQAH) insulator, with a focus on the experimentally observed Jain states at lattice filling $\nu = p/(2p+1)$. Unlike in the lowest Landau…

强关联电子 · 物理学 2025-09-19 Zhengyan Darius Shi , T. Senthil

The fractional quantum Hall effect (FQHE) is a canonical example of a topological phase in a correlated 2D electron gas under strong magnetic field. While electric currents propagate as chiral downstream edge modes, chargeless upstream…

介观与纳米尺度物理 · 物理学 2015-06-18 Hiroyuki Inoue , Anna Grivnin , Yuval Ronen , Moty Heiblum , Vladimir Umansky , Diana Mahalu

A quantum anomalous Hall (QAH) insulator is a topological state of matter, in which the interior is insulating but electrical current flows along the edges of the sample, in either clockwise (right-handed) or counter-clockwise (left-handed)…

In the presence of strong electronic interactions, a partially filled Chern band may stabilize a fractional Chern insulator (FCI) state, the zero-field analog of the fractional quantum Hall phase. While FCIs have long been hypothesized,…

强关联电子 · 物理学 2024-10-15 Gal Shavit , Yuval Oreg

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…

介观与纳米尺度物理 · 物理学 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

Magnetically doped topological insulators (TIs) exhibit two distinct phases: the quantum anomalous Hall (QAH) phase when the Fermi level resides within the surface gap, and a metallic phase outside the gap. The QAH phase hosts…

介观与纳米尺度物理 · 物理学 2025-10-02 Le Yi , Emma Steinebronn , Asmaul Smitha Rashid , Nitin Samarth , Ramy El-Ganainy , Sahin L. Ozdemir , Morteza Kayyalha

The search of new topological insulators that demonstrate the quantum anomalous Hall effect (QAHE) is a cutting-edge research topic in condensed matter physics and materials science. So far, the QAHE has been observed only in Cr-doped…

材料科学 · 物理学 2015-03-13 Jun Hu , Zhenyue Zhu , Ruqian Wu

The quantum anomalous Hall (QAH) state is a two-dimensional bulk insulator with a non-zero Chern number in absence of external magnetic fields. Protected gapless chiral edge states enable dissipationless current transport in electronic…

介观与纳米尺度物理 · 物理学 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang

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…

强关联电子 · 物理学 2015-07-24 Maissam Barkeshli , Chetan Nayak

Since the charged mode is much faster than the neutral modes on quantum Hall edges at large filling factors, the edge may remain out of equilibrium in thermal conductance experiments. This sheds light on the observed imperfect quantization…

介观与纳米尺度物理 · 物理学 2019-03-04 Ken K. W. Ma , D. E. Feldman

We study transport along interfaced edge segments of fractional quantum Hall states hosting non-Abelian Majorana modes. With an incoherent model approach, we compute, for edge segments based on Pfaffian, anti-Pfaffian, and…

介观与纳米尺度物理 · 物理学 2023-10-24 Michael Hein , Christian Spånslätt

The quantum anomalous Hall (QAH) insulator is uniquely characterized by the topological Chern number C. Controlling the Chern number is a key step toward functional topological electronics and enables access to exotic quantum phases beyond…

The standard theoretical framework for fractional quantum anomalous Hall effect (FQAH) assumes an isolated flat Chern band in the single particle level. In this paper we challenges this paradigm for the FQAH recently observed in the…

强关联电子 · 物理学 2024-08-12 Boran Zhou , Hui Yang , Ya-Hui Zhang