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Exploring the topological characteristics of electronic bands is essential in condensed matter physics. Moir\'e materials featuring flat bands provide a versatile platform for engineering band topology and correlation effects. In moir\'e…

Twisted bilayer graphene aligned with hexagonal boron nitride (TBG/hBN) hosts rich topological and correlated quantum phases, such as (fractional) Chern insulators, whose character is dictated by the topology of the moir\'{e} flat band.…

强关联电子 · 物理学 2026-05-01 Huiwen Wang , Wei Jiang

2D materials based superlattices have emerged as a promising platform to modulate band structure and its symmetries. In particular, moir\'e periodicity in twisted graphene systems produces flat Chern bands. The recent observation of…

Moir\'e superlattices engineer band properties and enable observation of fractal energy spectra of Hofstadter butterfly. Recently, correlated-electron physics hosted by flat bands in small-angle moir\'e systems has been at the foreground.…

The topological structure of the wavefunctions of particles in periodic potentials is characterized by the Berry curvature $\Omega_{kn}$ whose integral on the Brillouin zone is a topological invariant known as the Chern number. The…

介观与纳米尺度物理 · 物理学 2016-11-21 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

Though the observation of the quantum anomalous Hall effect and nonlocal transport response reveals nontrivial band topology governed by the Berry curvature in twisted bilayer graphene, some recent works reported nonlinear Hall signals in…

介观与纳米尺度物理 · 物理学 2023-08-16 Meizhen Huang , Zefei Wu , Xu Zhang , Xuemeng Feng , Zishu Zhou , Shi Wang , Yong Chen , Chun Cheng , Kai Sun , Zi Yang Meng , Ning Wang

Recent experiments have measured local uniaxial strain fields in twisted bilayer graphene (TBG). Our calculations found that the finite Berry curvature generated by breaking the sublattice symmetry and the band proximity between narrow…

介观与纳米尺度物理 · 物理学 2021-05-12 Pierre A. Pantaleón , Tony Low , Francisco Guinea

Recent experiments have demonstrated interesting physics in a family of two-dimensional (2D) composition-tunable materials Nb$_{2n+1}$Si$_n$Te$_{4n+2}$. Here, we show that owing to its intrinsic low symmetry, metallic nature, tunable…

材料科学 · 物理学 2023-05-24 Yiwei Zhao , Jin Cao , Zeying Zhang , Si Li , Yan Li , Fei Ma , Shengyuan A. Yang

Magnetic semimetals have increasingly emerged as lucrative platforms hosting spin-based topological phenomena in real and momentum spaces. Of particular interest is the emergence of Berry curvature, whose geometric origin, accessibility…

Symmetry breaking is an effective tool for tuning the transport and topological properties of 2D layered materials. Among these materials, twisted bilayer graphene (TBG) has emerged as a promising platform for new physics, characterized by…

介观与纳米尺度物理 · 物理学 2024-06-06 Cunyuan Jiang , Matteo Baggioli , Qing-Dong Jiang

Berry curvature is a fundamental element to characterize topological quantum physics, while a full measurement of Berry curvature in momentum space was not reported for topological states. Here we achieve two-dimensional Berry curvature…

The observation of non-linear Hall effects in time-reversal invariant systems has established the intriguing role of band topology beyond Berry curvature in determining transport phenomena. Many of these non-linear responses owe their…

材料科学 · 物理学 2025-10-27 Nesta Benno Joseph , Arka Bandyopadhyay , Ajit C. Balram , Awadhesh Narayan

We study the quantum nonlinear Hall effect in two-dimensional materials with time-reversal symmetry. When only one mirror line exists, a transverse charge current occurs in second-order response to an external electric field, as a result of…

介观与纳米尺度物理 · 物理学 2018-10-03 Jhih-Shih You , Shiang Fang , Su-Yang Xu , Efthimios Kaxiras , Tony Low

Berry curvature multipoles appearing in topological quantum materials have recently attracted much attention. Their presence can manifest in novel phenomena, such as nonlinear anomalous Hall effects (NLAHE). The notion of Berry curvature…

The physics related to Berry curvature is now a central research topic in condensed matter physics. The Berry curvature dipole (BCD) is a significant and intriguing condensed matter phenomenon that involves inversion symmetry breaking.…

介观与纳米尺度物理 · 物理学 2023-03-03 T. Nishijima , T. Watanabe , H. Sekiguchi , Y. Ando , E. Shigematsu , R. Ohshima , S. Kuroda , M. Shiraishi

It is well known that a nontrivial Chern number results in quantized Hall conductance. What is less known is that, generically, the Hall response can be dramatically different from its quantized value in materials with broken inversion…

介观与纳米尺度物理 · 物理学 2026-01-21 Fang Qin , Rui Chen , Ching Hua Lee

We obtain the band structure of a particle moving in a magnetic spin texture, classified by its chirality and structure factor, in the presence of spin-orbit coupling. This rich interplay leads to a variety of novel topological phases…

量子气体 · 物理学 2015-06-17 Timothy M. McCormick , Nandini Trivedi

Recent experimental evidence for the quantum spin Hall (QSH) state in monolayer WTe$_2$ has bridged two of the most active fields of condensed matter physics, 2D materials and topological physics. This 2D topological crystal also displays…

Recently, the topological flat bands and spin Hall effect have been experimentally observed in the AB-stacked MoTe$_2$/WSe$_2$ heterostructures. In this work, we systematically study the Berry curvature effects in moir\'{e} transition metal…

介观与纳米尺度物理 · 物理学 2023-03-01 Jin-Xin Hu , Ying-Ming Xie , K. T. Law

We theoretically investigate how the Berry curvature, which arises in multi-band structures when the electrons can be described by an effective single-band Hamiltonian, affects the superconducting properties of two-dimensional electronic…

介观与纳米尺度物理 · 物理学 2024-03-28 Florian Simon , Louis Pagot , Marc Gabay , Mark O. Goerbig
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