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Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

Carrier dynamics acquire a new character in the presence of Bloch-band Berry curvature, which naturally arises in gapped Dirac materials (GDMs). Here we argue that photoresponse in GDMs with small band gaps is dramatically enhanced by Berry…

介观与纳米尺度物理 · 物理学 2016-12-19 Justin C. W. Song , Mikhail A. Kats

We propose a novel nonlinear dynamical Hall effect characteristic of layered materials with chiral symmetry, which is driven by the joint action of in-plane and time variation of out-of-plane ac fields…

介观与纳米尺度物理 · 物理学 2024-03-18 Cong Chen , Dawei Zhai , Cong Xiao , Wang Yao

It is commonly believed that the current response of an electron fluid to a mechanical force (such as an electric field) or to a ``statistical force" (e.g., a gradient of chemical potential) are governed by a single linear transport…

介观与纳米尺度物理 · 物理学 2020-07-22 Justin C. W. Song , Giovanni Vignale

We investigate the second-order anomalous Hall response in two-dimensional higher-wave symmetric magnets, including the recently discovered class of collinear magnets known as altermagnets, when subjected to a symmetry-breaking external…

介观与纳米尺度物理 · 物理学 2025-11-17 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

Photovoltaic Hall effect, i.e., generation of a photocurrent perpendicular to the bias electric field, is an interesting platform of Berry curvature engineering by external fields. Floquet engineering aims at generation of light-induced…

材料科学 · 物理学 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga

In the second-order response regime, the Hall voltage can be nonzero without breaking the time-reversal symmetry, as long as the system is noncentrosymmetric. There are multiple mechanisms with different scaling rules that contribute to the…

介观与纳米尺度物理 · 物理学 2022-04-22 Junxi Duan , Yu Jian , Yang Gao , Huimin Peng , Jinrui Zhong , Qi Feng , Yugui Yao

Injection and shift currents are generally regarded as distinct nonlinear optical responses with separate microscopic origins. Here, we uncover a general hidden connection between them through interband Berry-curvature and quantum-metric…

介观与纳米尺度物理 · 物理学 2026-05-13 Mohammad Yahyavi , Tay-Rong Chang , Md Shafayat Hossain , Arun Bansil , Naoto Nagaosa , Guoqing Chang

The Berry curvature (BC), a quantity encoding the geometry of electronic wavefunctions, governs various electronic transport effects in quantum materials. In magnetic systems, the BC is reponsible for the intrinsic part of the anomalous…

介观与纳米尺度物理 · 物理学 2025-10-07 Rhonald Burgos Atencia , Antonio Vecchione , Denys Makarov , Carmine Ortix

Quantum geometry may enable the development of quantum phases ranging from superconductivity to correlated topological states. One powerful probe of quantum geometry is the nonlinear Hall response which detects Berry curvature dipole in…

介观与纳米尺度物理 · 物理学 2026-05-11 Yuan Fang , Shouvik Sur , Yonglong Xie , Qimiao Si

We present recent experimental results confirming previously predicted strong asymmetries of the current distribution in narrow Hall bars under the conditions of the integer quantum Hall effect (IQHE). Using a previously developed…

介观与纳米尺度物理 · 物理学 2015-06-15 Rolf R. Gerhardts , Konstantinos Panos , Jürgen Weis

Superconductivity and Bloch band Berry curvature responses represent two distinct paradigms of quantum coherent phenomena. The former relies on the collective motion of a many-body state while the latter proceeds from the momentum-space…

超导电性 · 物理学 2024-10-30 Oles Matsyshyn , Giovanni Vignale , Justin C. W. Song

The linear intrinsic anomalous Hall effect (IAHE) and second-order IAHE have been intensively investigated in time-reversal broken systems. However, as one of the important members of the nonlinear Hall family, the investigation of…

介观与纳米尺度物理 · 物理学 2023-02-22 Longjun Xiang , Chao Zhang , Luyang Wang , Jian Wang

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…

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…

The geometric structure of quantum states plays a fundamental role in determining the intrinsic dynamics of electrons in solids. In this work, we study the geometric origin of orbital angular momentum and its transport in a general two-band…

介观与纳米尺度物理 · 物理学 2025-08-21 Jongjun M. Lee

The recently discovered nonlinear Hall (NLH) effect arises either without external magnetic field (type-I) or with an in-plane magnetic field (type-II). In this work we propose a new type of geometrical nonlinear Hall effect with an…

材料科学 · 物理学 2024-09-16 Junjie Yao , Yizhou Liu , Wenhui Duan

In gapped Dirac materials, the topological current associated with each valley can flow in opposite directions creating long-range charge-neutral valley currents. We report valley currents in hBN/bilayer-graphene heterostructures with an…

介观与纳米尺度物理 · 物理学 2024-10-10 Takuya Iwasaki , Yoshifumi Morita , Kenji Watanabe , Takashi Taniguchi

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 investigate the intrinsic anomalous thermal Hall effect in d-wave altermagnets, where a transverse heat current is generated by a longitudinal temperature gradient in the absence of a magnetic field, with the leading response…

介观与纳米尺度物理 · 物理学 2026-05-01 Rishi G. Gopalakrishnan , Srimayi Korrapati , Sumanta Tewari