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We theoretically study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities in both Dirac and Weyl semimetals (SMs). We find that the internode process, as well as the unique three-dimensional spin-momentum…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Hao-Ran Chang , Jianhui Zhou , Shi-Xiong Wang , Wen-Yu Shan , Di Xiao

Noncentrosymmetric magnetic Weyl semimetals provide a platform for investigating the interplay among magnetism, inversion symmetry breaking, and topologically nontrivial Weyl fermions. The Weyl-mediated Ruderman-Kittel-Kasuya-Yosida (RKKY)…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 Mengyao Zhou , Hao-Ran Chang , Lijun Yang , Long Liang

We investigate the effective couplings induced between localized impurities on the surface of a Weyl semimetal (WSM) nanowire within the framework of Ruderman--Kittel--Kasuya--Yosida (RKKY) theory. The itinerant electrons from the chiral…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Rohit Mukherjee , Asutosh Dubey

Ruderman-Kittel-Kasuya-Yosida (RKKY) is an essential long range magnetic interaction between magnetic impurities or magnetic layered structures, the magnitude of which oscillates with the distance ($\mathrm{R}$) between them. We have…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Anirban Kundu , M. B. A. Jalil

Recent neutron scattering and thermodynamic measurements suggest that Weyl electrons in the emergent Weyl semimetal SmAlSi mediate unconventional magnetic interactions and induce spiral magnetic order. In this work, we investigate the…

Strongly Correlated Electrons · Physics 2025-08-18 Lasin Thaivalappil , Rahul Verma , Hsin Lin , Bahadur Singh , Shin-Ming Huang

We have systematically investigated the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic impurities in Weyl semimetals with arbitrary monopole charge $Q$. We find that the RKKY interaction becomes intrinsically…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Yong Sun , Anmin Wang

Weyl semimetals (WSMs) constitute a 3D phase with linearly-dispersing Weyl excitations at low energy, which lead to unusual electrodynamic responses and open Fermi arcs on boundaries. We derive a simple criterion to identify and…

Strongly Correlated Electrons · Physics 2014-10-28 William Witczak-Krempa , Michael Knap , Dmitry Abanin

Magnetic interactions between impurity spins play a crucial role in determining magnetic configurations in spintronic systems. Using a Green's function formalism, we investigate Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interactions…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Anirban Kundu

Weyl fermions can arise from time-reversal symmetry-breaking magnetism, but their impact on magnetic order is a source of ongoing research. Using high-precision neutron diffraction and spectroscopy, we present a comprehensive exploration of…

We utilize the variational method to study the Kondo screening of a spin-$1/2$ magnetic impurity in a three-dimensional (3D) Weyl semimetal with two Weyl nodes along the $k_z$-axis. The model reduces to a 3D Dirac semimetal when the…

Strongly Correlated Electrons · Physics 2015-11-18 Jin-Hua Sun , Dong-Hui Xu , Fu-Chun Zhang , Yi Zhou

We theoretically study the impacts of linear spin-orbit coupling (SOC) on the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities in two kinds of three-dimensional noncentrosymmetric systems. It has been found that linear…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Shi-Xiong Wang , Hao-Ran Chang , Jianhui Zhou

We analyze the Ruderman-Kettel-Kasuya-Yosida(RKKY) interaction between magnetic impurities embedded in the helical metal on the surface of three-dimensional topological insulators. Apart from the conventional RKKY terms, the spin-momentum…

Materials Science · Physics 2015-05-18 Fei Ye , Guo-Hui Ding , Hui Zhai , Zhao-Bin Su

We derive the effective interactions between local magnetic moments which are mediated by Weyl electrons in magnetic topological semimetals. The resulting spin dynamics is governed by the induced Heisenberg, Kitaev and Dzyaloshinskii-Moriya…

Strongly Correlated Electrons · Physics 2021-05-05 Predrag Nikolić

We study the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities embedded in $p$-doped transition metal dichalcogenide triangular flakes. The role of underlying symmetries is exposed by analyzing the interaction as a…

Mesoscale and Nanoscale Physics · Physics 2016-12-26 Oscar Ávalos-Ovando , Diego Mastrogiuseppe , Sergio E. Ulloa

We theoretically study the Kondo screening of a spin-1/2 magnetic impurity in the bulk of a type-II Weyl semimetal (WSM) by use of the variational wave function method. We consider a type-II WSM model with two Weyl nodes located on the…

Strongly Correlated Electrons · Physics 2019-06-06 Lu-Ji Wang , Xing-Tai Hu , Lin Li , Dong-Hui Xu , Jin-Hua Sun , Wei-Qiang Chen

Recently, abundant transport phenomena characterizing the surface states of Weyl semimetals (WSMs) have been reported. To generate these phenomena, electrons have to complete a closed intersurface orbit. Due to the unavoidable impurities in…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Hou-Jian Duan , Yong-Jia Wu , Ming-Xun Deng , Ruiqiang Wang , Mou Yang

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction of magnetic impurities in a superconductor exponentially decreases when the distance $r$ between them is larger than the superconductor's coherence length, because this interaction is…

Superconductivity · Physics 2018-09-10 A. G. Mal'shukov

The interaction between two impurity spins provides vital information about the host system and has been suggested to form a building block in quantum computation and spintronic devices. We here determine this Ruderman-Kittel-Kasuya-Yosida…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Morten Amundsen , Arne Brataas , Jacob Linder

We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in p-doped transition metal dichalcogenides such as MoS$_2$ and WS$_2$. We consider magnetic impurities hybridized to the Mo d-orbitals characteristic of the valence bands. Using…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 D. Mastrogiuseppe , N. Sandler , S. Ulloa

We show that there are diversified Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions between magnetic impurities, mediated by itinerant electrons, in a centrosymmetric crystal respecting a nonsymmorphic space group. We take the $P4/nmm$…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Zhongyi Zhang , Shengshan Qin , Chen Fang , Jiangping Hu , Fu-chun Zhang
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