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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

The interplay between strong correlations and topology can lead to the emergence of intriguing quantum states of matter. One well-known example is the fractional quantum Hall effect, where exotic electron fluids with fractionally charged…

The experimental discoveries of fractional quantum anomalous Hall effects under zero magnetic fields in both transition metal dichalcogenide and pentalayer graphene moir\'e superlattices have aroused significant research interest. In this…

Strongly Correlated Electrons · Physics 2024-09-24 Zhongqing Guo , Xin Lu , Bo Xie , Jianpeng Liu

Motivated by the recent experimental breakthroughs in observing Fractional Quantum Anomalous Hall (FQAH) states in moir\'e materials, we propose and study various unconventional phase transitions between quantum Hall phases and Fermi…

Strongly Correlated Electrons · Physics 2024-04-29 Xue-Yang Song , Ya-Hui Zhang , T. Senthil

The fractional quantum Hall (FQH) state is a topological state of matter resulting from the many-body effect of interacting electrons and is of vast interest in fundamental physics. The experimental observation of topological surface states…

Strongly Correlated Electrons · Physics 2012-05-15 Dong-Xia Qu , Y. S. Hor , R. J. Cava

The quantum anomalous Hall (QAH) effect is a topologically nontrivial phase, characterized by a non-zero Chern number defined in the bulk and chiral edge states in the boundary. Using first-principles calculations, we demonstrate the…

Materials Science · Physics 2018-06-26 Xiangru Kong , Linyang Li , Ortwin Leenaerts , Weiyang Wang , Xiong-Jun Liu , François M. Peeters

Moir\'e flatbands with high Chern numbers (C>1) offer opportunities to study the fractional quantum anomalous Hall effects that go beyond the Landau level paradigm with C=1, which remain unexplored yet. Here, we target the novel topological…

We propose a systematical approach to construct generic fractional quantum anomalous Hall (FQAH) states, which are generalizations of the fractional quantum Hall states to lattice models with zero net magnetic field and full lattice…

Strongly Correlated Electrons · Physics 2015-03-19 Xiao-Liang Qi

Recently, fractional Chern insulators (FCIs), also called fractional quantum anomalous Hall (FQAH) states, have been theoretically established in lattice systems with topological flat bands. These systems exhibit similar fractionalization…

Strongly Correlated Electrons · Physics 2015-12-18 Ai-Lei He , Wei-Wei Luo , Yi-Fei Wang , Chang-De Gong

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Hiroyuki Inoue , Anna Grivnin , Yuval Ronen , Moty Heiblum , Vladimir Umansky , Diana Mahalu

The fractional quantum Hall (FQH) effect is a canonical example of electron-electron interactions producing new ground states in many-body systems. Most FQH studies have focused on the lowest Landau level (LL), whose fractional states are…

Rydberg atom arrays offer promising platforms for quantum simulation of correlated quantum matter and raise great interests. This work proposes a novel stripe-lattice model with Raman superarray of Rydberg atoms to realize bosonic…

Quantum Gases · Physics 2024-12-30 Ting-Fung Jeffrey Poon , Xin-Chi Zhou , Bao-Zong Wang , Tian-Hua Yang , Xiong-Jun Liu

Fractional quantum Hall effect (FQHE) is a prime example of topological quantum many-body phenomena, arising from the interplay between strong electron correlation, topological order, and time reversal symmetry breaking. Recently, a lattice…

Strongly Correlated Electrons · Physics 2024-11-22 Zhurun Ji , Heonjoon Park , Mark E. Barber , Chaowei Hu , Kenji Watanabe , Takashi Taniguchi , Jiun-Haw Chu , Xiaodong Xu , Zhi-xun Shen

The nature of the state at low Landau-level filling factors has been a longstanding puzzle in the field of the fractional quantum Hall effect. While theoretical calculations suggest that a crystal is favored at filling factors $\nu\lesssim…

Strongly Correlated Electrons · Physics 2020-08-20 Zheng-Wei Zuo , Ajit C. Balram , Songyang Pu , Jianyun Zhao , Thierry Jolicoeur , A. Wójs , J. K. Jain

The fractional quantum Hall (FQH) effect is a macroscopic manifestation of strong electron-electron interactions. Even denominator FQH states (FQHSs) at half-filling are particularly interesting as they are predicted to host non-Abelian…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Tanima Chanda , Simrandeep Kaur , Harsimran Singh , Kenji Watanabe , Takashi Taniguchi , Manish Jain , Udit Khanna , Ajit C. Balram , Aveek Bid

Interaction driven topological phases can significantly enrich the class of topological materials and thus are of great importance. Here, we study the phase diagram of interacting spinless fermions filling the two-dimensional checkerboard…

Strongly Correlated Electrons · Physics 2018-11-27 Tian-sheng Zeng , W. Zhu , D. N. Sheng

We study ultracold Rydberg-dressed Bose gases subject to artificial gauge fields in the fractional quantum Hall (FQH) regime. The characteristics of the Rydberg interaction gives rise to interesting many-body ground states different from…

Quantum Gases · Physics 2013-04-30 Fabian Grusdt , Michael Fleischhauer

We present a pedagogical review of the physics of fractional Chern insulators with a particular focus on the connection to the fractional quantum Hall effect. While the latter conventionally arises in semiconductor heterostructures at low…

Strongly Correlated Electrons · Physics 2015-10-05 S. A. Parameswaran , R. Roy , S. L. Sondhi

Semiconducting transition-metal dichalcogenides (TMDs) exhibit high mobility, strong spin-orbit coupling, and large effective masses, which simultaneously leads to a rich wealth of Landau quantizations and inherently strong electronic…

For topologically nontrivial and very narrow bands, Coulomb repulsion between electrons has been predicted to give rise to a spontaneous fractional quantum-Hall (FQH) state in absence of magnetic fields. Here we show that strongly…

Strongly Correlated Electrons · Physics 2012-03-22 Jörn W. F. Venderbos , Stefanos Kourtis , Jeroen van den Brink , Maria Daghofer