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The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

介观与纳米尺度物理 · 物理学 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix

In recent years it has become clear that electronic Berry curvature (BC) is a key concept to understand and predict physical properties of crystalline materials. A wealth of interesting Hall-type responses in charge, spin and heat transport…

介观与纳米尺度物理 · 物理学 2023-07-06 Dennis Wawrzik , Jorge I. Facio , Jeroen van den Brink

This review presents recent breakthroughs in the realm of nonlinear Hall effects, emphasizing central theoretical foundations and recent experimental progress. We elucidate the quantum origin of the second-order Hall response, focusing on…

介观与纳米尺度物理 · 物理学 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

The discovery of Berry curvature (BC) has spurred a tremendous surge of research into various quantum phenomena such as the anomalous transport of electrons and the topological phases of matter. In two-dimensional crystalline systems, the…

介观与纳米尺度物理 · 物理学 2021-09-01 Kyoung-Whan Kim , Hogyun Jeong , Jeongwoo Kim , Hosub Jin

When nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wavefunctions with a gauge field, termed Berry curvature, in a way that bears analogy to…

Quantum materials are characterized by electromagnetic responses intrinsically linked to the geometry and topology of electronic wavefunctions, encoded in the quantum metric and Berry curvature. Whereas Berry curvature-mediated transport…

介观与纳米尺度物理 · 物理学 2025-08-26 Giacomo Sala , Maria Teresa Mercaldo , Klevis Domi , Stefano Gariglio , Mario Cuoco , Carmine Ortix , Andrea D. Caviglia

The non-linear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of non-centrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The…

材料科学 · 物理学 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

Berry curvature, a momentum space property, can manifest itself in current responses. The well-known anomalous Hall effect in time-reversal-breaking systems arises from a Berry curvature monopole. In time-reversal-invariant materials, a…

介观与纳米尺度物理 · 物理学 2025-03-26 Tohid Farajollahpour , R. Ganesh , Kirill Samokhin

Quantum spin Hall insulators have attracted significant attention in recent years. Understanding the optical properties and spin Hall effect in these materials is crucial for technological advancements. In this study, we present theoretical…

介观与纳米尺度物理 · 物理学 2024-11-08 Mohammad Mortezaei Nobahari , Carmine Autieri

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

介观与纳米尺度物理 · 物理学 2025-10-22 Narjes Kheirabadi , YuanDong Wang

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

By considering an extended double-exchange model with spin-orbit coupling (SOC), we derive a general form of the Berry phase $\gamma$ that electrons pick up when moving around a closed loop. This form generalizes the well-known result valid…

强关联电子 · 物理学 2020-01-29 Shang-Shun Zhang , Hiroaki Ishizuka , Hao Zhang , Gábor B. Halász , Cristian D. Batista

One big achievement in modern condensed matter physics is the recognition of the importance of various band geometric quantities in physical effects. As prominent examples, Berry curvature and the Berry curvature dipole are connected to the…

介观与纳米尺度物理 · 物理学 2022-01-26 Huiying Liu , Jianzhou Zhao , Yue-Xin Huang , Xiaolong Feng , Cong Xiao , Weikang Wu , Shen Lai , Wei-bo Gao , Shengyuan A. Yang

Anomalous Hall effect and spin Hall effect originate due to spin-orbit coupling that in the Kohn-Luttinger ${\bf k}\cdot{\bf p}$ formalism is represented by anomalous terms in the coordinate and velocity operators. Relation of these…

介观与纳米尺度物理 · 物理学 2009-11-13 Emmanuel I. Rashba

The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz…

介观与纳米尺度物理 · 物理学 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal

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

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 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 experimentally observe the quantum geometric tensor, namely the quantum metric and the Berry curvature, for a square lattice of radiatively coupled plasmonic nanoparticles. We observe a non-zero Berry curvature and show that it arises…

In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate…

介观与纳米尺度物理 · 物理学 2023-08-22 Saswata Roy , Awadhesh Narayan
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