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We propose a generalized composite fermion (CF) theory for fractional Chern insulators (FCIs) by adapting the quantum mechanics approach of CFs. The theoretical framework naturally produces an effective CF Hamiltonian and a wavefunction…

Strongly Correlated Electrons · Physics 2025-09-12 Hao Jin , Junren Shi

Many proposed experiments involving topological insulators (TIs) require spatial control over time-reversal symmetry and chemical potential. We demonstrate reconfigurable micron-scale optical control of both magnetization (which breaks…

Mesoscale and Nanoscale Physics · Physics 2017-09-28 Andrew L. Yeats , Peter J. Mintun , Yu Pan , Anthony Richardella , Bob B. Buckley , Nitin Samarth , David D. Awschalom

We show that collective excitations and optical responses of moir\'e fractional Chern insulators (FCIs) drastically differ from those of standard fractional quantum Hall (FQH) states in a Landau level. By constructing a variational…

Mesoscale and Nanoscale Physics · Physics 2025-02-26 Nisarga Paul , Ahmed Abouelkomsan , Aidan Reddy , Liang Fu

Moir\'e systems made from stacked two-dimensional materials host novel correlated and topological states that can be electrically controlled via applied gate voltages. We have used this technique to manipulate Chern domains in an…

We study two models for spinless fermions featuring topologically non-trivial bands characterized by Chern numbers $C=\pm1$ at fractional filling. Using exact diagonalization, we show that, even for infinitely strong nearest-neighbor…

Strongly Correlated Electrons · Physics 2014-04-02 Stefanos Kourtis , Titus Neupert , Claudio Chamon , Christopher Mudry

A recent experiment observes a series of quantum spin Hall effects in transition metal dichalcogenide moir\'e MoTe$_2$ [K. Kang, et. al, Nature 628, 522-526 (2024)]. Among them, the vanishing Hall signal at the filling factor $\nu=3$…

Strongly Correlated Electrons · Physics 2025-02-20 Feng Chen , Wei-Wei Luo , Wei Zhu , D. N. Sheng

A series of recent experimental works on twisted MoTe$_2$ homobilayers have unveiled an abundance of exotic states in this system. Valley-polarized quantum anomalous Hall states have been identified at hole doping of $\nu = -1$, and the…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Xiaoyu Liu , Chong Wang , Xiao-Wei Zhang , Ting Cao , Di Xiao

The two dimensional square lattice antiferromagnet with spin-orbit coupling and nonsymmorphic symmetry is recently found to be topological insulator (TI). We theoretically studied the Floquet states of the antiferromagnetic crystal with…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Ma Luo

Due to the forming of low-energy flat bands, the moir\'e superlattices of the transition metal dichalcogenides are fascinating platforms for studying novel correlated states when such flat bands are fractionally filled, with the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Bingbing Wang , Junxi Yu , Cheng-Cheng Liu

The search for candidate materials for fractional Chern insulators (FCIs) has mainly focused on the topological and geometrical structures of single-particle Chern bands. However, there are inherent limitations in approaches that neglect…

Strongly Correlated Electrons · Physics 2025-12-29 Nobuyuki Okuma , Tomonari Mizoguchi

The dynamic control of novel states of matter beyond thermodynamic equilibrium is a fundamental pursuit in condensed matter physics. Intense terahertz fields have enabled metal-insulator transitions, superconductivity, quantum paraelectric…

Two-dimensional Chern insulators have emerged as crucial platforms for the realization of the quantum anomalous Hall effect, and as such have attracted significant interest in spintronics and topological quantum physics due to their unique…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Panjun Feng , Miao Gao , Xun-Wang Yan , Fengjie Ma

Rhombohedral-stacked multilayer graphene aligned with hexagonal boron nitride has emerged as an excellent platform for investigating exotic quantum phenomena arising from the interplay between electron correlations and nontrivial topology.…

Fractional Chern insulators (FCI) were proposed theoretically about a decade ago. These exotic states of matter are fractional quantum Hall states realized when a nearly flat Chern band is partially filled, even in the absence of an…

Strongly Correlated Electrons · Physics 2023-12-12 Xiaodong Hu , Di Xiao , Ying Ran

Ferromagnetism in topological insulators (TIs) opens a topologically non-trivial exchange band gap, providing an exciting platform to manipulate the topological order through an external magnetic field. Here, we experimentally show that the…

Superconductivity arising from fully spin-polarized, repulsively interacting electrons can host intrinsically chiral Cooper pairs and Majorana zero modes, yet no concrete microscopic route to such a state has been established. Motivated by…

Strongly Correlated Electrons · Physics 2025-07-29 Taige Wang , Michael P. Zaletel

The discovery of zero-field fractional Chern insulators (FCIs) in moir\'e materials has attracted intense interest in the interplay between topology and correlations. Here, we demonstrate that fractionalized topological order can emerge…

Mesoscale and Nanoscale Physics · Physics 2025-10-20 Hui Liu , Raul Perea-Causin , Zhao Liu , Emil J. Bergholtz

The quantum metric of single-particle wave functions in topological flatbands plays a crucial role in determining the stability of fractional Chern insulating (FCI) states. Here, we unravel that the quantum metric causes the many-body Chern…

Strongly Correlated Electrons · Physics 2024-09-13 Ang-Kun Wu , Siddhartha Sarkar , Xiaohan Wan , Kai Sun , Shi-Zeng Lin

The field of topological photonics studies unique and robust photonic systems that are immune to defects and disorders due to the protection of their underlying topological phases. Mostly implemented in static systems, the studied…

Optics · Physics 2023-04-20 Jicheng Jin , Li He , Jian Lu , Lin Chang , Chen Shang , John E. Bowers , Eugene J. Mele , Bo Zhen

Fractional Chern insulators (FCIs) in moire materials present a unique platform for exploring strongly correlated topological phases beyond the paradigm of ideal quantum geometry. While analytical approaches to FCIs and fractional quantum…

Strongly Correlated Electrons · Physics 2025-10-06 Ang-Kun Wu , Louis Primeau , Jingtao Zhang , Kai Sun , Yang Zhang , Shi-Zeng Lin