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We develop a theory of Coulomb interaction-mediated contribution to valley Hall effect (VHE) in two-dimensional non-centrosymmetric gapped Dirac materials. We assume that the bare valley Hall current occurs in the system due to the presence…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 D. S. Eliseev , A. V. Parafilo , V. M. Kovalev , O. V. Kibis , I. G. Savenko

We find that the motion of the valley electrons -- electronic states close to the ${\rm K}$ and ${\rm K'}$ points of the Brillouin zone -- is confined into two dimension when the layers of MoS$_{2}$ follow the 3R stacking, while in the 2H…

In the present paper we have directly computed the Berry curvature terms relevant for Graphene in the presence of an \textit{inhomogeneous} lattice distortion. We have employed the generalized Foldy Wouthuysen framework, developed by some…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pierre Gosselin , Alain Bérard , Hervé Mohrbach , Subir Ghosh

Though the observation of the quantum anomalous Hall effect and nonlocal transport response reveals nontrivial band topology governed by the Berry curvature in twisted bilayer graphene, some recent works reported nonlinear Hall signals in…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Meizhen Huang , Zefei Wu , Xu Zhang , Xuemeng Feng , Zishu Zhou , Shi Wang , Yong Chen , Chun Cheng , Kai Sun , Zi Yang Meng , Ning Wang

Abstract The valley degree of freedom in two-dimensional materials provides an opportunity to extend the functionalities of valleytronics devices. Very short valley lifetimes demand the ultrafast control of valley pseudospin. Here, we…

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…

Materials Science · Physics 2025-10-27 Nesta Benno Joseph , Arka Bandyopadhyay , Ajit C. Balram , Awadhesh Narayan

Electronic and spintronic devices rely on the fact that free charge carriers in solids carry electric charge and spin, respectively. There are, however, other properties of charge carriers that might be exploited in new families of devices.…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Kin Fai Mak , Keliang He , Jie Shan , Tony F. Heinz

Photovoltaic Hall effect is an interesting platform of Berry curvature engineering by external fields. Floquet engineering aims at generation of light-induced Berry curvature associated with topological phase transition in solids, which may…

Materials Science · Physics 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga

We investigate the effect on disorder potential on exciton valley polarization and valley coherence in monolayer WSe2. By analyzing polarization properties of photoluminescence, the valley coherence (VC) and valley polarization (VP) is…

We describe the charge transport in ferromagnets with spin orbit coupled Bloch bands by combining the wave-packet evolution equations with the classical Boltzmann equation. This approach can be justified in the limit of smooth disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , Qian Niu , Jairo Sinova , K. Nomura

The band structure of a monolayer MoS$_2$ comprises of spin-split subbands, owing to the mutual presence of broken inversion symmetry and strong spin-orbit coupling. In the conduction band, spin-valley coupled subbands cross each other at…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 K. Sonowal , D. V. Boev , A. V. Kalameitsev , V. M. Kovalev , I. G. Savenko

Crystal symmetry governs the nature of electronic Bloch states. For example, in the presence of time reversal symmetry, the orbital magnetic moment and Berry curvature of the Bloch states must vanish unless inversion symmetry is broken. In…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Sanfeng Wu , Jason S Ross , Grant Aivazian , Aaron Jones , Zaiyao Fei , Gui-Bin Liu , Wenguang Zhu , Di Xiao , Wang Yao , David Cobden , Xiaodong Xu

This paper focuses on the study of linear exciton Hall and Nernst effects in monolayer two-dimensional (2D) semiconductors, employing the semi-classical transport theory. By deriving the exciton Berry curvature in momentum space for a…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Weilong Guo , Lianguo Li , Qingjun Tong , Ci Li

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…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

It has been recently shown that monolayers of transition metal dichalcogenides (TMDs) in the 2H structural phase exhibit relatively large orbital Hall conductivity plateaus within their energy band gaps, where their spin Hall conductivities…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Tarik P. Cysne , Marcio Costa , Luis M. Canonico , M. Buongiorno Nardelli , R. B. Muniz , Tatiana G. Rappoport

The valley degree of freedom in atomically thin transition-metal dichalcogenides provides a natural binary index for information processing. Exciton-polaritons formed under strong light-matter coupling offer a promising route to overcome…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Xingzhou Chen , Yuanjun Guan , Areg Ghazaryan , Shiran Sun , Lingxiao Yu , Ruitao Lv , Artem Volosniev , Zheng Sun , Jian Wu

Using time-resolved optical Kerr rotation, we measure the low temperature valley dynamics of resident electrons and holes in exfoliated WSe$_2$ monolayers as a systematic function of carrier density. In an effort to reconcile the many…

Materials Science · Physics 2021-04-14 Jing Li , M. Goryca , K. Yumigeta , H. Li , S. Tongay , S. A. Crooker

We predict that in a twisted homobilayer of transition-metal dichalcogenide MoS$_2$, spin-orbit coupling in the conduction band states from $\pm K$ valleys can give rise to moir\'{e} flat bands with nonzero Chern numbers in each valley. The…

Mesoscale and Nanoscale Physics · Physics 2022-03-21 Benjamin T. Zhou , Shannon Egan , Marcel Franz

Valleytronic materials, characterized by local extrema (valley) in their bands, and topological insulators have separately attracted great interest recently. However, the interplay between valleytronic and topological properties in one…

Mesoscale and Nanoscale Physics · Physics 2018-08-27 Tong Zhou , Jiayong Zhang , Hua Jiang , Igor Zutic , Zhongqin Yang

Valleytronics targets the exploitation of the additional degrees of freedom in materials where the energy of the carriers may assume several equal minimum values (valleys) at non-equivalent points of the reciprocal space. In single layers…