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Periodic driving provides a platform to dynamically tailor quantum states of matter, yet its impact on symmetry-protected topological phases remains incompletely understood. Here, we demonstrate that periodic driving enables the realization…

Lattice generalizations of fractional quantum Hall (FQH) systems, called fractional Chern insulators (FCIs), have been extensively investigated in strongly correlated systems. Despite many efforts, previous studies have not revealed all of…

Strongly Correlated Electrons · Physics 2022-09-28 Nobuyuki Okuma , Tomonari Mizoguchi

We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators with opposite Chern numbers which transform under conjugate…

Mesoscale and Nanoscale Physics · Physics 2019-07-22 Shang Liu , Ashvin Vishwanath , Eslam Khalaf

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,…

Strongly Correlated Electrons · Physics 2024-10-15 Gal Shavit , Yuval Oreg

We report on time-resolved ultrafast optical spectroscopy study of the topological insulator (TI) Bi$_2$Se$_3$. We unravel that a net spin polarization can not only be generated using circularly polarized light via interband transitions…

Materials Science · Physics 2016-01-26 M. C. Wang , S. Qiao , Z. Jiang , S. N. Luo , J. Qi

Materials with ferroelectrically switchable topological properties are of interest for both fundamental physics and practical applications. Using first-principles calculations, we find that stacking ferroelectric $\alpha$-In$_2$Se$_3$…

Materials Science · Physics 2024-02-29 Zhiqiang Tian , Ziming Zhu , Jiang Zeng , Chao-Fei Liu , Yurong Yang , Anlian Pan , Mingxing Chen

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

The quantum anomalous Hall effect (QAHE) that emerges under broken time-reversal symmetry in topological insulators (TI) exhibits many fascinating physical properties for potential applications in nano-electronics and spintronics. However,…

The understanding of fractional Chern insulators (FCIs) has been deeply guided by band topology and quantum geometry. Here, we introduce a real-space theoretical framework in which FCIs are understood in terms of composite bosons, local…

Strongly Correlated Electrons · Physics 2026-02-17 Guangyu Yu , Zheng Zhu

We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 Motohiko Ezawa

Achieving topologically-protected robust transport in optical systems has recently been of great interest. Most topological photonic structures can be understood by solving the eigenvalue problem of Maxwell's equations for a static linear…

In this letter, we propose a mechanism to control the magnetic properties of topological quantum material (TQM) by using magnetoelectric coupling: this mechanism uses a heterostructure of TQM with two-dimensional (2D) ferroelectric…

Materials Science · Physics 2023-05-05 Wei Luo , Mao-Hua Du , Fernando A. Reboredo , Mina Yoon

Quantitative understanding of the relationship between quantum tunneling and Fermi surface spin polarization is key to device design using topological insulator surface states. By using spin-resolved photoemission spectroscopy with…

Topological insulators (TIs) show rich phenomena and functions which can never be realized in ordinary insulators. Most of them come from the peculiar surface or edge states. Especially, the quantized anomalous Hall effect (QAHE) without an…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

Topological magnetic insulators host chiral gapless edge modes. In the presence of strong interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled insulating spin-1/2 chains, we show how spatially…

Strongly Correlated Electrons · Physics 2025-01-03 Even Thingstad , Pierre Fromholz , Flavio Ronetti , Daniel Loss , Jelena Klinovaja

Structured light beams with engineered topological properties offer a powerful means to control spin angular momentum (SAM) and optical chirality, key quantities shaped by spin-orbit interaction (SOI) in light. Such effects are typically…

Topological insulators (TIs) are a new class of quantum materials that exhibit spin momentum locking (SML) of massless Dirac fermions in the surface states. Usually optical methods, such as angle and spin-resolved photoemission…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 André Dankert , Johannes Geurs , M. Venkata Kamalakar , Saroj P. Dash

The experimental discovery of fractional Chern insulators (FCIs) in rhombohedral pentalayer graphene twisted on hexagonal boron nitride (hBN) has preceded theoretical prediction. Supported by large-scale first principles relaxation…

In the presence of crystalline symmetry, topologically ordered states can acquire a host of symmetry-protected invariants. These determine the patterns of crystalline symmetry fractionalization of the anyons in addition to fractionally…

Strongly Correlated Electrons · Physics 2025-08-21 Ryohei Kobayashi , Yuxuan Zhang , Naren Manjunath , Maissam Barkeshli

Topological crystalline insulators (TCIs) possess metallic surface states protected by crystalline symmetry, which are a versatile platform for exploring topological phenomena and potential applications. However, progress in this field has…

Mesoscale and Nanoscale Physics · Physics 2017-10-17 Ying Wang , Guoyu Luo , Junwei Liu , R. Sankar , Nan-Lin Wang , Fangcheng Chou , Liang Fu , Zhiqiang Li