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Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase (M.V. Berry (1984), Proc. Royal. Soc.…

统计力学 · 物理学 2012-05-11 V. Gritsev , A. Polkovnikov

Berry curvature dipole plays an important role in various nonlinear quantum phenomena. However, the maximum symmetry allowed for nonzero Berry curvature dipole in the transport plane is a single mirror line, which strongly limits its…

The electronic topology is generally related to the Berry curvature, which can induce the anomalous Hall effect in time-reversal symmetry breaking systems. Intrinsic monolayer transition metal dichalcogenides possesses two nonequivalent K…

介观与纳米尺度物理 · 物理学 2021-07-07 Mao-Sen Qin , Peng-Fei Zhu , Xing-Guo Ye , Wen-Zheng Xu , Zhen-Hao Song , Jing Liang , Kaihui Liu , Zhi-Min Liao

Berry curvature plays a crucial role in exotic electronic states of quantum materials, such as intrinsic anomalous Hall effect. As Berry curvature is highly sensitive to subtle changes of electronic band structures, it can be finely tuned…

材料科学 · 物理学 2021-04-30 Di Tian , Zhiwei Liu , Shengchun Shen , Zhuolu Li , Yu Zhou , Hongquan Liu , Hanghui Chen , Pu Yu

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…

The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature in band theory. However, recent experiments reveal that the nonlinear Hall effect can be observed in non-magnetic systems…

介观与纳米尺度物理 · 物理学 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

Geometrical properties of energy bands underlie fascinating phenomena in a wide-range of systems, including solid-state materials, ultracold gases and photonics. Most famously, local geometrical characteristics like the Berry curvature can…

光学 · 物理学 2017-12-20 Martin Wimmer , Hannah M. Price , Iacopo Carusotto , Ulf Peschel

Piezotronics is an emerging field, which exploits strain to control the transport properties in condensed matters. At present, piezotronics research majorly focuses on insulators with tunable electric dipole by strain. Metals are excluded…

介观与纳米尺度物理 · 物理学 2020-04-15 Xiao Rui-Chun , Shao Ding-Fu , Zhang Zhi-Qiang , Jiang Hua

Quantum geometry - the geometry of electron Bloch wavefunctions - is central to modern condensed matter physics. Due to the quantum nature, quantum geometry has two parts, the real part quantum metric and the imaginary part Berry curvature.…

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

Two-dimensional van der Waals heterostructures can be engineered into artificial superlattices that host flat bands with significant Berry curvature and provide a favorable environment for the emergence of novel electron dynamics. In…

介观与纳米尺度物理 · 物理学 2023-07-06 Vo Tien Phong , E. J. Mele

Topological Physics relies on the specific structure of the eigenstates of Hamiltonians. Their geometry is encoded in the quantum geometric tensor containing both the celebrated Berry curvature, crucial for topological matter, and the…

介观与纳米尺度物理 · 物理学 2020-03-03 A. Gianfrate , O. Bleu , L. Dominici , V. Ardizzone , M. De Giorgi , D. Ballarini , K. West , L. N. Pfeiffer , D. D. Solnyshkov , D. Sanvitto , G. Malpuech

In two-dimensional layered quantum materials, the stacking order of the layers determines both the crystalline symmetry and electronic properties such as the Berry curvature, topology and electron correlation. Electrical stimuli can…

It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

介观与纳米尺度物理 · 物理学 2015-12-22 Inti Sodemann , Liang Fu

The Berry curvature is a geometrical property of an energy band which acts as a momentum space magnetic field in the effective Hamiltonian describing single-particle quantum dynamics. We show how this perspective may be exploited to study…

量子气体 · 物理学 2014-11-20 Hannah M. Price , Tomoki Ozawa , Iacopo Carusotto

The quantum geometric tensor, which has the quantum metric and Berry curvature as its real and imaginary parts, plays a key role in the transport properties of condensed matter systems. In the nonlinear regime, the quantum metric dipole and…

介观与纳米尺度物理 · 物理学 2025-05-02 Xu Yang , Brian Skinner

Altermagnets are a recently discovered class of compensated magnets with momentum-dependent spin splittings and unusual transport properties, even without a net magnetization. In the presence of combined four-fold rotation and time-reversal…

介观与纳米尺度物理 · 物理学 2025-10-17 Arnob Mukherjee , Biplab Sanyal , Annica M. Black-Schaffer , Ankita Bhattacharya

For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

介观与纳米尺度物理 · 物理学 2020-12-15 Hongchao Li

Geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory…

介观与纳米尺度物理 · 物理学 2026-05-22 M. Maneesh Kumar , Md Kaif Faiyaz , Sayan Sarkar , Amit Agarwal

Quantum geometry governs a wide range of transport and optical phenomena in quantum materials. Recent works have explored analogue electromagnetism and gravity in terms of the quantum geometric tensor, whose real and imaginary parts…

介观与纳米尺度物理 · 物理学 2026-03-24 Luca Maranzana , Koki Shinada , Ying-Ming Xie , Sergey Artyukhin , Naoto Nagaosa
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