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We discuss the anomalous Hall effect in a two-dimensional electron gas subject to a spatially varying magnetization. This topological Hall effect (THE) does not require any spin-orbit coupling, and arises solely from Berry phase acquired by…

材料科学 · 物理学 2009-11-10 P. Bruno , V. K. Dugaev , M. Taillefumier

Large intrinsic anomalous Hall effect (AHE) due to the Berry curvature in magnetic topological semimetals is attracting enormous interest due to its fundamental importance and technological relevance. Mechanisms resulting in large intrinsic…

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

介观与纳米尺度物理 · 物理学 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

介观与纳米尺度物理 · 物理学 2007-05-23 B. Basu , P. Bandyopadhyay

The Berry curvature in magnetic systems is attracting interest due to the potential tunability of topological features via the magnetic structure. $f$-electrons, with their large spin-orbit coupling, abundance of non-collinear magnetic…

强关联电子 · 物理学 2020-07-29 T. Asaba , Ying Su , M. Janoschek , J. D. Thompson , S. M. Thomas , E. D. Bauer , Shi-Zeng Lin , F. Ronning

The use of Berry-phase concepts has established a strong link between the anomalous Hall effect (AHE) and the topological character of the Hall currents. However, the occurrence of sign competition in the Berry curvature often hinders the…

强关联电子 · 物理学 2025-09-19 Wojciech Brzezicki , Carmine Autieri , Mario Cuoco

Recent interest in topological nature in condensed matter physics has revealed the essential role of Berry curvature in anomalous Hall effect (AHE). However, since large Hall response originating from Berry curvature has been reported in…

强关联电子 · 物理学 2020-10-20 Kazuto Akiba , Kaisei Iwamoto , Takaaki Sato , Shingo Araki , Tatsuo C. Kobayashi

Non-collinear triangular antiferromagnets with a coplanar spin arrangement and vanishing net magnetic moment can exhibit a large anomalous Hall effect owing to their non-vanishing momentum space Berry curvature. Here we show the existence…

强关联电子 · 物理学 2019-05-15 Pradeep K. Rout , P. V. Prakash Madduri , Subhendu K. Manna , Ajaya K. Nayak

The Berry phase picture provides important insights into the electronic properties of condensed matter systems. The intrinsic anomalous Hall (AH) effect can be understood as a consequence of non-zero Berry curvature in momentum space. The…

The topological Hall effect (THE) is one of the key signatures of topologically non-trivial magnetic spin textures, wherein electrons feel an additional transverse voltage to the applied current. The magnitude of THE is often small compared…

The Berry phase is a fundamental concept in quantum mechanics with profound implications for understanding topological properties of quantum systems. This tutorial provides a comprehensive introduction to the Berry phase, beginning with the…

介观与纳米尺度物理 · 物理学 2024-11-19 Nico Sprinkart , Elke Scheer , Angelo Di Bernardo

We investigate topological features of electronic structures which produce large anomalous Hall effect in the non-collinear antiferromagnetic metallic states of anti-perovskite manganese nitrides by first-principles calculations. We first…

材料科学 · 物理学 2019-09-25 Vu Thi Ngoc Huyen , Michi-To Suzuki , Kunihiko Yamauchi , Tamio Oguchi

Hall experiments in chiral magnets are often analyzed as the sum of an anomalous Hall effect, dominated by momentum-space Berry curvature, and a topological Hall effect, arising from the real-space Berry curvature in the presence of…

介观与纳米尺度物理 · 物理学 2022-03-16 Nishchhal Verma , Zachariah Addison , Mohit Randeria

Topological phase in magnetic materials yields a quantized contribution to the Hall effect known as the topological Hall effect, which is often caused by skyrmions, with each skyrmion creating a magnetic flux quantum h/e. The control and…

Analytical calculations and micromagnetic simulations are used to determine the Berry curvature and topological Hall effect (THE) due to conduction electrons in small ferromagnetic particles. Our focus is on small particles of…

Electrons moving through a noncoplanar magnetic texture acquire a Berry phase, which can be described as an effective magnetic field. This effect is known as the topological Hall effect and has been observed in topological spin textures.…

介观与纳米尺度物理 · 物理学 2022-10-21 Tan Dao , Sergey S. Pershoguba , Jiadong Zang

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

We study the origin of large topological Hall effect in the single-crystalline EuCd$_2$Sb$_2$, which orders antiferromagnetically at the N\'eel temperature $T_{\rm N}=7.4$ K. Measurements of magnetoresistance and Hall resistivity disclose…

Topological Hall effect (THE) of electrons coupled to a noncoplanar spin texture has been studied so far for the strong- and weak-coupling regimes separately; the former in terms of the Berry phase and the latter by perturbation theory. In…

介观与纳米尺度物理 · 物理学 2019-05-29 Kazuki Nakazawa , Manuel Bibes , Hiroshi Kohno

While recent theoretical studies have positioned noncollinear polar magnets with $C_{nv}$ symmetry as compelling candidates for realizing topological magnetic phases and substantial intrinsic anomalous Hall conductivity, experimental…

强关联电子 · 物理学 2024-11-15 Arnab Bhattacharya , Afsar Ahmed , Apurba Dutta , Ajay Kumar , Anis Biswas , Yaroslav Mudryk , Indranil Das
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