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Electron skew scattering by impurities is one of the major mechanisms behind the anomalous Hall effect in ferromagnetic nanostructures. It is particularly strong at the surface of topological insulators where electron dynamics is governed…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Cooper Finnigan , Dmitry K. Efimkin

Massless Dirac particles are characterized by an effective pseudospin-momentum locking, which is the origin of the peculiar scattering properties of Dirac particles through potential barriers. This pseudospin-momentum locking also governs…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Lassaad Mandhour , Farah Bouhadida , Frédéric Piéchon

We investigate the scattering of a three-dimensional massless Dirac particle through a domain wall separating two regions with identical energy spectra but distinct Berry curvature dipoles. We demonstrate that the quantum geometric mismatch…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 Lassaad Mandhour , Frédéric Piéchon

We study the electromagnetic response and surface electromagnetic modes in a generic gapped Dirac material under pumping with circularly polarized light. The valley imbalance due to pumping leads to a net Berry curvature, giving rise to a…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Anshuman Kumar , Andrei Nemilentsau , Kin Hung Fung , George Hanson , Nicholas X. Fang , Tony Low

We study electron scattering from a closed magnetic structure embedded in the top surface of a topological insulator (TI). Outside the structure there is a uniform layer of ferromagnetic insulator (FMI), leading to a positive effective mass…

Mesoscale and Nanoscale Physics · Physics 2020-02-10 Cheng-Zhen Wang , Hong-Ya Xu , Ying-Cheng Lai

Berry curvature and skew-scattering play central roles in determining both the linear and nonlinear anomalous Hall effects. Yet in {\it PT}-symmetric antiferromagnetic metals, Hall effects from either intrinsic Berry curvature mediated…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Da Ma , Arpit Arora , Giovanni Vignale , Justin C. W. Song

We present a theoretical analysis of Dirac magneto-plasmons in topological insulator nanowires. We discuss a cylindrical geometry where Berry phase effects induce the opening of a gap at the neutrality point. By taking into account surface…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 P. Iorio , C. A. Perroni , V. Cataudella

Plasmons, the collective oscillations of interacting electrons, possess emergent properties that dramatically alter the optical response of metals. We predict the existence of a new class of plasmons -- chiral Berry plasmons (CBPs) -- for a…

Mesoscale and Nanoscale Physics · Physics 2016-05-24 Justin C. W. Song , Mark S. Rudner

We find that the Berry curvature splits the edge plasmons propagating along the opposite directions in quantum anomalous Hall insulators even with vanishing Chern number. When the bulk is insulating, only one unidirectional edge plasmon…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Furu Zhang , Chenxi Ding , Jianhui Zhou , Yugui Yao

Graphene bilayers with layer antisymmetric strains are studied using the Dirac-Harper model for a pair of single layer Dirac Hamiltonians coupled by a one-dimensional moir\'e-periodic interlayer tunneling amplitude. This model hosts low…

Mesoscale and Nanoscale Physics · Physics 2021-08-13 Abigail Timmel , E. J. Mele

Recent advancement in laser technology has opened the path toward the manipulation of functionalities in quantum materials by intense coherent light. Here, we study three-dimensional (3D) Dirac electrons driven by circularly polarized light…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Yoshua Hirai , Naotaka Yoshikawa , Masashi Kawaguchi , Masamitsu Hayashi , Shun Okumura , Takashi Oka , Ryo Shimano

The recently introduced concept of "surface Berry plasmons" is studied in the concrete instance of a ferromagnetic conductor in which the Berry curvature, generated by spin-orbit (SO) interaction, has opposite signs for carriers parallel or…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Steven S. -L. Zhang , Giovanni Vignale

The scattering of two-dimensional (2D) massless Dirac electrons is investigated in the presence of a random array of circular mass barriers. The inverse momentum relaxation time and the Hall factor are calculated and used to obtain parallel…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 M. Ramezani Masir , A. Matulis , F. M. Peeters

We investigate the effects of spin-flip scattering on the Hall transport and spectral properties of gapped Dirac fermions. We find that in the weak scattering regime, the Berry curvature distribution is dramatically compressed in the…

Materials Science · Physics 2015-05-20 Shengyuan A. Yang , Zhenhua Qiao , Yugui Yao , Junren Shi , Qian Niu

We consider the existence of plasmons in a non-equilibrium situation where electrons from the valence band of graphene are pumped to states in the Brillouin zone around the $\mathbf{M}$-point by a high intensity UV electromagnetic field.…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 A. J. Chaves , N. M. R. Peres , Tony Low

Within an effective Dirac-Weyl theory we solve the scattering problem for massless chiral fermions impinging on a cylindrical time-dependent potential barrier. The set-up we consider can be used to model the electron propagation in a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 C. Schulz , R. L. Heinisch , H. Fehske

The anomalous Hall effect in ferromagnetic metals is classified into two based on the mechanism. The first one is the intrinsic Hall effect due to the Berry curvature in momentum space; this is a Hall effect that solely arises from the band…

Mesoscale and Nanoscale Physics · Physics 2017-10-19 Hiroaki Ishizuka , Naoto Nagaosa

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…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix

Systems such as Wigner crystals and incommensurate charge density waves that spontaneously break a continuous translation symmetry have unusual transport properties arising from their ability to slide coherently in space. Recent…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Yongxin Zeng , Andrew J. Millis

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Elio J. König , Alex Levchenko
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