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We formulate a first-principles approach for calculating the topological Hall effect (THE) in magnets with noncollinear nanoscale spin textures. We employ a modeling method to determine the effective magnetic field induced by the spin…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Hsiao-Yi Chen , Takuya Nomoto , Max Hirschberger , Ryotaro Arita

By revealing an underlying relation between the Dzyaloshinskii-Moriya interaction (DMI) and the scalar spin chirality, we develop the theory of magnon thermal Hall effects in antiferromagnetic systems. The dynamic fluctuation of the scalar…

Strongly Correlated Electrons · Physics 2019-02-26 Yalei Lu , Xing Guo , Vladimir Koval , Chenglong Jia

Magnetic hopfions are non-collinear spin textures that are characterized by an integer topological invariant, called Hopf index. The three-dimensional magnetic solitons can be thought of as a tube with a twisted magnetization that has been…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Börge Göbel , Samir Lounis

The celebrated Shastry Sutherland model has a gapped dimer singlet ground state. The material SrCu$_2$(BO$_3$)$_2$ serves as a good realization of this model, upto small anisotropies arising from Dzyaloshinskii-Moriya (DM) interactions. The…

Strongly Correlated Electrons · Physics 2015-04-22 Judit Romhányi , Karlo Penc , R. Ganesh

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…

Mesoscale and Nanoscale Physics · Physics 2022-03-16 Nishchhal Verma , Zachariah Addison , Mohit Randeria

Synthetic antiferromagnetic (SAF) skyrmions have emerged as promising candidates for next-generation high-speed and highly integrated spintronic devices, owing to their exceptional properties such as high driving velocity, nanoscale…

Mesoscale and Nanoscale Physics · Physics 2025-11-24 Xinbao Geng , Guanqi Li , Zhongxiang Zhang , Wenjing Hu , Wenjing Zhong , Xiaoming Xiong , Yongbing Xu , Zhendong Chen , Junlin Wang , Xiangyu Zheng , Jing Wu

Geometric phases in condensed matter play a central role in topological transport phenomena such as the quantum, spin and anomalous Hall effect (AHE). In contrast to the quantum Hall effect - which is characterized by a topological…

Hall effects of electrons can be produced by an external magnetic field, spin orbit-coupling or a topologically non-trivial spin texture. The topological Hall effect (THE) - caused by the latter - is commonly observed in magnetic skyrmion…

Strongly Correlated Electrons · Physics 2018-08-09 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

We compute the intrinsic contributions to the Berry-phase mediated anomalous Hall and Nernst effects in electron- and hole-doped semiconductors in the presence of an in-plane magnetic field as well as Rashba and Dresselhaus spin orbit…

Mesoscale and Nanoscale Physics · Physics 2012-06-18 E. Dumitrescu , Chuanwei Zhang , D. C. Marinescu , Sumanta Tewari

When quasiparticles move in condensed matters, the texture of their internal quantum structure as a function of position and momentum can give rise to Berry phases that have profound effects on materials properties. Seminal examples include…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Hongyi Yu , Mingxing Chen , Wang Yao

Oxide materials exhibit several novel structural, magnetic, and electronic properties. Their stability under ambient conditions, easy synthesis, and high transition temperatures provide such systems with an ideal ground for realizing…

Strong electronic correlations can produce remarkable phenomena such as metal-insulator transitions and greatly enhance superconductivity, thermoelectricity, or optical non-linearity. In correlated systems, spatially varying charge textures…

The layer Hall effect is an intriguing phenomenon observed in magnetic topological layered materials, where the Hall response arises from the opposite deflection of electrons on top and bottom layers. To realize layer Hall effect,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yulei Han , Yunpeng Guo , Zeyu Li , Zhenhua Qiao

We carry out density functional theory calculations which demonstrate that the electron dynamics in the skyrmion phase of Fe-rich Mn$_{1-x}$Fe$_x$Ge alloys is governed by Berry phase physics. We observe that the magnitude of the…

Materials Science · Physics 2015-07-22 J. Gayles , F. Freimuth , T. Schena , G. Lani , P. Mavropoulos , R. Duine , S. Blügel , J. Sinova , Y. Mokrousov

The quasi-two-dimensional electronic gas at the (111) SrTiO$_3$-based heterostructure interfaces is described by a multi-band tight-binding model providing electronic bands in agreement at low energies with photoemission experiments. We…

Materials Science · Physics 2022-02-14 Mattia Trama , Carmine Antonio Perroni , Vittorio Cataudella

In contrast to electron (fermion) systems, topological phases of charge neutral bosons have been poorly understood despite recent extensive research on insulating magnets. The most important unresolved issue is how the inevitable…

Strongly Correlated Electrons · Physics 2022-01-19 S. Suetsugu , T. Yokoi , K. Totsuka , T. Ono , I. Tanaka , S. Kasahara , Y. Kasahara , Z. Chengchao , H. Kageyama , Y. Matsuda

We show that the two dimensional spatial inversion-symmetry (SIS) broken square lattice antiferromagnet with easy-plane spin anisotropy exhibits a thermal Hall effect and the edge modes characterized by the Z 2 topological invariant. These…

Materials Science · Physics 2019-02-22 Masataka Kawano , Chisa Hotta

The magnetic topological materials have attracted significant attention due to their potential realization of variety of novel quantum phenomena. EuIn$_2$As$_2$ has recently been theoretically recognized as a long awaited intrinsic…

Materials Science · Physics 2022-03-02 J. Yan , Z. Z. Jiang , R. C. Xiao , W. J. Lu , W. H. Song , X. B. Zhu , X. Luo , Y. P. Sun , M. Yamashita

The topological Hall effect (THE) has attracted great attention since it provides an important probe of the interaction between electron and topological spin textures. THE has been considered an experimental signature of the topological…

Skyrmions with the topological number $Q$ equal an integer larger than 1 are called high-topological-number skyrmions or high-$Q$ skyrmions. In this work, we theoretically study the topological Hall effect in square-lattice high-$Q$…

Mesoscale and Nanoscale Physics · Physics 2020-09-14 Rui Zhu , Weinan Liu
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