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Two-dimensional lattice models subjected to an external effective magnetic field can form nontrivial band topologies characterized by nonzero integer band Chern numbers. In this Letter, we investigate such a lattice model originating from…

强关联电子 · 物理学 2013-11-01 Dong Wang , Zhao Liu , Junpeng Cao , Heng Fan

We study the anomalous Hall effect, magneto-optical properties, and nonlinear optical properties of twisted bilayer graphene (TBG) aligned with hexagonal boron nitride (hBN) substrate as well as twisted double bilayer graphene systems. We…

介观与纳米尺度物理 · 物理学 2021-01-27 Jianpeng Liu , Xi Dai

Topological materials have drawn increasing attention owing to their rich quantum properties, as highlighted by a large intrinsic anomalous Hall effect (AHE) in Weyl and nodal-line semimetals. However, the practical applications for…

The observation of zero field fractional quantum Hall analogs in twisted transition metal dichalcogenides (TMDs) asks for a deeper understanding of what mechanisms lead to topological flat bands in two-dimensional heterostructures, and what…

介观与纳米尺度物理 · 物理学 2024-05-10 Valentin Crépel , Nicolas Regnault , Raquel Queiroz

Recently, a chirality-driven contribution to the anomalous Hall effect has been found that is induced by the Berry phase and does not directly involve spin-orbit coupling. In this paper, we will investigate this effect numerically in a…

介观与纳米尺度物理 · 物理学 2010-03-16 G. Metalidis , P. Bruno

During the past two decades, it has been established that a non-trivial electron wave-function topology generates an anomalous Hall effect (AHE), which shows itself as a Hall conductivity non-linear in magnetic field. Here, we report on an…

材料科学 · 物理学 2023-03-29 Xiaokang Li , Jahyun Koo , Zengwei Zhu , Kamran Behnia , Binghai Yan

We consider soft-core bosons with onsite interaction loaded in the honeycomb lattice with different site energies for the two sublattices. Using both a mean-field approach and quantum Monte-Carlo simulations, we show that the topology of…

量子气体 · 物理学 2015-10-28 Yun Li , Pinaki Sengupta , George G. Batrouni , Christian Miniatura , Benoît Grémaud

Electron correlation and topology are two central threads of modern condensed matter physics. Semiconductor moir\'e materials provide a highly tunable platform for studies of electron correlation. Correlation-driven phenomena, including the…

Two-dimensional van der Waals materials offer a highly tunable platform for generating emergent quantum phenomena through symmetry breaking. Stacking-induced symmetry breaking at interfaces provides an effective method to modulate their…

介观与纳米尺度物理 · 物理学 2025-01-23 Xing-Guo Ye , Zhen-Tao Zhang , Peng-Fei Zhu , Wen-Zheng Xu , An-Qi Wang , Zhi-Min Liao

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

We study theoretically the zero temperature intrinsic anomalous Hall effect in an experimentally realized 2D spin-orbit coupled Bose gas. For anisotropic atomic interactions and as the spin-orbit coupling strength increases, the system…

量子气体 · 物理学 2024-02-13 Canhao Chen , Guan-Hua Huang , Zhigang Wu

The study of the non-linear anomalous Hall effect (NLAHE) in $\mathcal{P}\mathcal{T}$-symmetric systems has focussed on intrinsic mechanisms. Here we show that disorder contributes substantially to NLAHE and often overwhelms intrinsic…

介观与纳米尺度物理 · 物理学 2023-11-23 Rhonald Burgos Atencia , Di Xiao , Dimitrie Culcer

We explore the transport properties of a periodically modulated $\alpha$-$\mathcal{T}_3$ lattice in the presence of a perpendicular magnetic field. The effect of the Berry phase on electrical conductivity oscillation, so-called Weiss…

介观与纳米尺度物理 · 物理学 2017-07-26 SK Firoz Islam , Paramita Dutta

We argue that the static non-linear Hall conductivity can always be represented as a vector in two-dimensions and as a pseudo-tensor in three-dimensions independent of its microscopic origin. In a single band model with a constant…

介观与纳米尺度物理 · 物理学 2019-12-05 Snehasish Nandy , Inti Sodemann

Many quantum materials of interest, ex., bilayer graphene, possess a number of closely spaced but not fully degenerate bands near the Fermi level, where the coupling to the far detuned remote bands can induce Berry curvatures of the…

介观与纳米尺度物理 · 物理学 2021-10-12 Ci Li , Matisse Wei-Yuan Tu , Wang Yao

Electrons in certain two-dimensional crystals possess a pseudospin degree of freedom associated with the existence of two inequivalent valleys in the Brillouin zone. If, as in monolayer MoS2, inversion symmetry is broken and time-reversal…

无序系统与神经网络 · 物理学 2015-09-28 Thomas Olsen , Ivo Souza

Superlattice potential modulation can produce flat minibands in Bernal-stacked bilayer graphene. In this work we study how band topology and interaction-induced symmetry-broken phases in this system are controlled by tuning the displacement…

介观与纳米尺度物理 · 物理学 2024-07-04 Yongxin Zeng , Tobias M. R. Wolf , Chunli Huang , Nemin Wei , Sayed Ali Akbar Ghorashi , Allan H. MacDonald , Jennifer Cano

We predict that in a twisted homobilayer of transition-metal dichalcogenide MoS$_2$, spin-orbit coupling in the conduction band states from $\pm K$ valleys can give rise to moir\'{e} flat bands with nonzero Chern numbers in each valley. The…

介观与纳米尺度物理 · 物理学 2022-03-21 Benjamin T. Zhou , Shannon Egan , Marcel Franz

Few-layer CrPS$_{4}$ is a two-dimensional (2D) magnetic material with excellent stability in ambient environment, which attracted significant interest in recent research. Here, via first-principles calculations, we show that 2D CrPS$_{4}$…

介观与纳米尺度物理 · 物理学 2025-10-16 Lulu Xiong , Jin Cao , Fan Yang , Xiaoxin Yang , Shen Lai , Xian-Lei Sheng , Cong Xiao , Shengyuan A. Yang

The recent studies on the anomalous Hall effect (AHE) have revealed an intrinsic relationship between the topological band structure and the experimentally observed transverse conductivity. Consequently, this has led to a heightened focus…

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