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The amorphous iron-germanium system ($a$-Fe$_x$Ge$_{1-x}$) lacks long-range structural order and hence lacks a meaningful Brillouin zone. The magnetization of \aFeGe is well explained by the Stoner model for Fe concentrations $x$ above the…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 D. S. Bouma , Z. Chen , B. Zhang , F. Bruni , M. E. Flatté , R. Streubel , L. -W. Wang , R. Q. Wu , F. Hellman

The Berry phase understanding of electronic properties has attracted special interest in condensed matter physics, leading to phenomena such as the anomalous Hall effect and the topological Hall effect. A non-vanishing Berry phase, induced…

It is well known that the intrinsic anomalous Hall effect (AHE) arises from the integration of the non-zero Berry curvature (BC), conventionally observed in the Dirac/Weyl and nodal-line semimetals. Moreover, nodal surface semimetals are…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Shu-Xiang Li , Wencheng Wang , Sheng Xu , Tianhao Li , Zheng Li , Jinjin Wang , Jun-Jian Mi , Qian Tao , Feng Tang , Xiangang Wan , Zhu-An Xu

The quantum anomalous Hall effect can occur in single and few layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Wang-Kong Tse , Zhenhua Qiao , Yugui Yao , A. H. MacDonald , Qian Niu

The wavefuntion of conduction electrons moving in the background of a non-coplanar spin structure can gain a quantal phase - Berry phase - as if the electrons were moving in a strong fictitious magnetic field. Such an emergent magnetic…

Spin-orbit interaction (SOI) in low-dimensional systems results in the fascinating property of spin-momentum locking. In a Rashba system the inversion symmetry normal to the plane of a two-dimensional (2D) electron gas is broken, generating…

Materials Science · Physics 2013-02-22 Bartosz Slomski , Gabriel Landolt , Gustav Bihlmayer , Jürg Osterwalder , J. Hugo Dil

Nonlinear responses in transport experiments may unveil information and generate new phenomena in materials that are not accessible at linear order due to symmetry constraints. While the linear anomalous Hall response strictly requires the…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Ankita Bhattacharya , Annica M. Black-Schaffer

We show that two types of spin-orbit coupling in the 2 dimensional hole gas (2DHG), with and without inversion symmetry breaking, contribute to the intrinsic spin Hall effect\cite{murakami2003,sinova2003}. Furthermore, the vertex correction…

Other Condensed Matter · Physics 2009-11-10 B. Andrei Bernevig , Shou-Cheng Zhang

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

We report the experimental observation of the spin-Hall effect in a two-dimensional (2D) hole system with Rashba spin-orbit coupling. The 2D hole layer is a part of a p-n junction light-emitting diode with a specially designed co-planar…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Joerg Wunderlich , Bernd Kaestner , Jairo Sinova , Tomas Jungwirth

We propose that a quantum anomalous Hall insulator (QAHI) can be realized in a nanopatterned two-dimensional electron gas (2DEG) with a small in-plane magnetic field and a high carrier density. The Berry curvatures originating from the…

Materials Science · Physics 2011-08-25 Yongping Zhang , Chuanwei Zhang

Charge-spin interconversion in magnetic materials is investigated by using first-principles calculations. In addition to the conventional spin Hall effect (SHE) that requires mutual orthogonality of the charge current, spin-flow direction,…

Materials Science · Physics 2022-08-11 Ping Li , Jing-Zhao Zhang , Zhi-Xin Guo , Tai Min , X. R. Wang

We show that topological metals lacking time-reversal symmetry have an intrinsic non-quantized component of the anomalous Hall conductivity which is contributed not only by the Berry phase of quasiparticles on the Fermi surface, but also by…

Strongly Correlated Electrons · Physics 2025-07-16 Ivan Pasqua , Michele Fabrizio

We measure the low-field Hall resistivity of a magnetically-doped two-dimensional electron gas as a function of temperature and electrically-gated carrier density. Comparing these results with the carrier density extracted from Shubnikov-de…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Cumings , L. S. Moore , H. T. Chou , K. C. Ku , S. A. Crooker , N. Samarth , D. Goldhaber-Gordon

The integrated Berry curvature is a geometric property that has dramatic implications for material properties. This study investigates the integrated Berry curvature and other contributions to the anomalous Hall effect in CrGeTe$_3$ as a…

The spin dependent reflection in quasi-two-dimensional electron gas from an impenetrable barrier in presence of Rashba and Dresselhaus spin-orbit coupling is analyzed in detail. It is shown that due to spin-orbit effects the reflected beam…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 S. K. Pandey , T. P. Pareek

A theory of the anomalous and spin Hall effects, based on the space distribution of the current densities, is presented. Spin-orbit coupling gives rise to a space separation of the mass centers, as well as a current density separation of…

Mesoscale and Nanoscale Physics · Physics 2010-09-09 Pavel Středa , Thibaut Jonckheere

For the spin Hall effect arising from strong band-structure spin-orbit coupling, a semiclassical Boltzmann theory reasonably addressing the intriguing disorder effect called side-jump is still absent. In this paper we describe such a theory…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Cong Xiao

The anomalous Hall conductivity of "dirty" ferromagnetic metals is dominated by a Berry-phase contribution which is usually interpreted as an intrinsic property of the Bloch electrons in the pristine crystal. In this work we evaluate the…

Materials Science · Physics 2015-12-25 Raffaello Bianco , Raffaele Resta , Ivo Souza

We carried out a comprehensive study of electronic transport, thermal and thermodynamic properties in FeCr$_2$Te$_4$ single crystals. It exhibits bad-metallic behavior and anomalous Hall effect (AHE) below a weak-itinerant…

Strongly Correlated Electrons · Physics 2021-01-18 Yu Liu , Hengxin Tan , Zhixiang Hu , Binghai Yan , C. Petrovic