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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…

强关联电子 · 物理学 2024-09-24 Zhongqing Guo , Xin Lu , Bo Xie , Jianpeng Liu

Recent theoretical works have demonstrated various robust Abelian and non-Abelian fractional topological phases in lattice models with topological flat bands carrying Chern number C=1. Here we study hard-core bosons and interacting fermions…

强关联电子 · 物理学 2012-11-07 Yi-Fei Wang , Hong Yao , Chang-De Gong , D. N. Sheng

There is convincing numerical evidence that fractional quantum Hall (FQH)-like ground states arise in fractionally filled Chern bands (FCB). Here we show that the Hamiltonian theory of Composite Fermions (CF) can be as useful in describing…

介观与纳米尺度物理 · 物理学 2015-06-05 Ganpathy Murthy , R. Shankar

In this work, we propose a new and simple model that supports Chern semimetals. These new gapless topological phases share several properties with the Chern insulators like a well-defined Chern number associated to each band, topologically…

介观与纳米尺度物理 · 物理学 2015-12-09 Giandomenico Palumbo , Konstantinos Meichanetzidis

The realization of fractional quantum Hall (FQH) states in cold atomic gases is a long-standing goal in quantum simulation. Established approaches, including rapidly rotating gases and tight-binding lattices, are often hampered by low…

量子气体 · 物理学 2025-09-03 Ophelia Evelyn Sommer , Nigel R. Cooper

Fractional Chern insulators (FCIs) have attracted intensive attention for the realization of fractional quantum Hall states in the absence of an external magnetic field. Most of FCIs have been proposed on two-dimensional (2D) Euclidean…

强关联电子 · 物理学 2024-11-11 Ai-Lei He , Lu Qi , Yongjun Liu , Yi-Fei Wang

The remarkable and fascinating properties of two-dimensional materials have raised them to the rank of most promising candidates for technological applications. In particular, the possibility of long-range ferromagnetic order in 2D…

强关联电子 · 物理学 2023-06-14 G. Bouzerar

The integer quantum Hall state occurs when the Landau levels are fully occupied by the fermions, while the fractional quantum Hall state usually emerges when the Landau level is partially filled by the strongly correlated fermions or…

强关联电子 · 物理学 2021-09-22 Wei-Wei Luo , Ai-Lei He , Yi-Fei Wang , Yuan Zhou , Chang-De Gong

Quantum materials with bands of narrow bandwidth near the Fermi level represent a promising platform for exploring a diverse range of fascinating physical phenomena, as the high density of states within the small energy window often enables…

We report the theoretical discovery of a large class of 2D tight-binding models containing nearly-flat bands with nonzero Chern numbers. In contrast with previous studies, where nonlocal hoppings are usually required, the Hamiltonians of…

强关联电子 · 物理学 2011-06-07 Kai Sun , Zheng-Cheng Gu , Hosho Katsura , S. Das Sarma

The electronic properties of $\pi$-conjugated two-dimensional (2D) polymers near the Fermi level are determined by structural topology and chemical composition. Thus, tight-binding (TB) calculations of the corresponding fundamental network…

Enhancing the many-body gap of a fractional state is crucial for realizing robust fractional excitations. For fractional Chern insulators, existing studies suggest that making flat Chern bands closely resemble the lowest Landau level (LLL)…

强关联电子 · 物理学 2025-11-25 Yitong Zhang , Siddhartha Sarkar , Xiaohan Wan , Daniel E. Parker , Shi-Zeng Lin , Kai Sun

The rapid advances in the study of fractional Chern insulators (FCIs) raise a fundamental question: while initially discovered in flat Chern bands motivated by their topological equivalence to Landau levels, is single- particle band…

强关联电子 · 物理学 2025-10-17 Hongyu Lu , Wang Yao

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…

Flat-band (FB) systems originating from special lattice geometry like in kagome metals as well as localized orbitals in the materials such as heavy-fermion (HF) compounds have induced intensive interest due to their band topology and strong…

强关联电子 · 物理学 2026-01-12 Wenxin Lv , Pengcheng Ma , Tianqi Wang , Shangjie Tian , Ying Ma , Shouguo Wang , Xiao Zhang , Zhonghao Liu , Hechang Lei

Flat electronic bands enable fascinating emergent phenomena such as superconductivity and charge orders. A prevailing approach to realizing flat bands is to engineer lattice geometric constraints in twisted or kagome-like materials. An…

Recent discoveries of zero-field fractional Chern insulators in moir\'e materials have attracted intensive research interests. However, most current theoretical and experimental attempts focus on systems with low Chern number bands, in…

强关联电子 · 物理学 2024-08-07 Chonghao Wang , Xiaoyang Shen , Ruiping Guo , Chong Wang , Wenhui Duan , Yong Xu

Fractional Chern insulators (FCI) are exotic phases of matter realized at partial filling of a Chern band that host fractionally charged anyon excitations. Recent numerical studies in several microscopic models reveal that increasing the…

强关联电子 · 物理学 2025-12-23 Zhengyan Darius Shi , T. Senthil

Coexistence of nontrivial topology and flat electronic bands in low-energy lattices provides a fertile platform for correlated quantum states. The square-octagon lattice hosts Dirac nodes and flat bands at half-filling, yet the influence of…

介观与纳米尺度物理 · 物理学 2025-11-18 Amrita Mukherjee , Rahul Verma , Pritesh Srivastava , Bahadur Singh

In the search of fractional quantum anomalous Hall (FQAH) effect, the conventional wisdom is to start from a flat Chern band isolated from the rest of the Hilbert space by band gaps, so that many-body interaction can be projected to a…

介观与纳米尺度物理 · 物理学 2025-05-13 Wenqi Yang , Dawei Zhai , Tixuan Tan , Feng-Ren Fan , Zuzhang Lin , Wang Yao