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The Dzyaloshinskii-Moriya (DM) interaction, as well as symmetric anisotropic exchange, are important ingredients for stabilizing topologically non-trivial magnetic textures, such as, e.g., skyrmions, merons and hopfions. These types of…

We perform a symmetry analysis of the ABC-stacked kagome planes of Mn atoms common to the $L1_2$ Mn$_3$X and antiperovskite Mn$_3$AB alloys. In addition to the single-ion-anisotropy and Kitaev-type anisotropic exchange known to stabilize…

Strongly Correlated Electrons · Physics 2023-02-22 J. S. R. McCoombs , A. Zelenskiy , M. L. Plumer , B. W. Southern , T. L. Monchesky

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction has been extensively explored in isotropic Dirac systems with linear dispersion, which typically follows an exponent decaying rate with the impurity distance $R$, i.e., $J\propto 1/R^d$…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Hou-Jian Duan , Yan-Yan Yang , Shi-Han Zheng , Chang-Yong Zhu , Ming-Xun Deng , Ruiqiang Wang , Mou Yang

Topological superconductors are foreseen as good candidates for the search of Majorana zero modes, where they appear as edge states and can be used for quantum computation. In this context, it becomes necessary to study the robustness and…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 Dunkan Martínez , Álvaro Díaz-Fernández , Pedro A Orellana , Francisco Domínguez-Adame

We have investigated magnetic interactions between transition metal ions in bismuthene topological insulator with protected edge states. We find that these topological states have a crucial role on the magnetic interactions in 2D…

Materials Science · Physics 2023-03-23 Emmanuel V. C. Lopes , E. Vernek , Tome M. Schmidt

Ruderman-Kittel-Kasuya-Yosida interaction even if their wave functions lack direct overlap. Theory predicts that spin-orbit scattering leads to a Dzyaloshinskii-Moriya type enhancement of this indirect exchange interaction, giving rise to…

The exchange interaction between two magnetic moments embedded in a host metal is fundamental to the description of the magnetic behavior of solids. In the standard spin-degenerate electron gas, it leads to the well known…

Strongly Correlated Electrons · Physics 2016-12-21 Mohammad M. Valizadeh , Sashi Satpathy

We study the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction mediated by helical edge states in quantum spin hall system. The helical edge states induce an in-plane noncollinear exchange coupling between two local spins, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Jinhua Gao , Weiqiang Chen , X. C. Xie , Fu-chun Zhang

We study Dzyaloshinskii-Moriya interaction (DMI) appearing at the interface of a nonmagnetic/noncollinear-antiferromagnetic bilayer. DMI is an antisymmetric exchange interaction between neighboring magnetic spins, arising in the absence of…

Mesoscale and Nanoscale Physics · Physics 2025-02-18 Yuta Yamane , Yasufumi Araki , Shunsuke Fukami

In this report we review the method of explicit calculations of interatomic exchange interactions of magnetic materials. This involves exchange mechanisms normally referred to as Heisenberg exchange, Dzyaloshinskii-Moriya interaction and…

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

Dipolar interactions are ubiquitous in nature and rule the behavior of a broad range of systems spanning from energy transfer in biological systems to quantum magnetism. Here, we study magnetization-conserving dipolar induced spin-exchange…

Quantum Gases · Physics 2020-04-22 A. Patscheider , B. Zhu , L. Chomaz , D. Petter , S. Baier , A. M. Rey , F. Ferlaino , M. J. Mark

The (111) surface of noble metals is usually treated as an isolated two dimensional (2D) triangular lattice completely decoupled from the bulk. However, unlike topological insulators, other bulk bands cross the Fermi level. We here…

Strongly Correlated Electrons · Physics 2017-06-14 A. Allerdt , R. Žitko , A. E. Feiguin

We study the Ruderman-Kittle-Kasuya-Yosida (RKKY) interaction in a monolayer MoS$_2$. We show that the rotation of the itinerant electron spin due to the spin-orbit coupling causes a twisted interaction between two magnetic adatoms which…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 F. Parhizgar , H. Rostami , Reza Asgari

We study interaction between two magnetic impurities mediated by itinerant electrons on the surface of curved magnets based on perturbation theory. We show that Dzyaloshinskii-Moriya type interaction can arise from inhomogeneous spin…

Strongly Correlated Electrons · Physics 2026-03-10 Takehito Yokoyama

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

Superexchange calculation is performed for multi-orbital band models with broken inversion symmetry. Orbital-changing hopping terms allowed by the symmetry breaking electric field lead to a new kind of orbital exchange term closely…

Strongly Correlated Electrons · Physics 2013-05-17 Panjin Kim , Jung Hoon Han

We study the exchange interaction and the subsequent collective behavior of magnetic impurities embedded in a disordered two-dimensional (2D) helical metal. The exchange coupling follows a statistical distribution whose moments are…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Hector Ochoa

The indirect exchange interaction between magnetic impurities localized in a graphene plane is considered theoretically, with the influence of intrinsic spin-orbit interaction taken into account. Such an interaction gives rise to an energy…

Materials Science · Physics 2015-06-25 V. K. Dugaev , V. I. Litvinov , J. Barnas

We study the non-collinear exchange coupling across a trilayer magnetic junction consisting of two ferromagnets separated by a thin dilute magnetic semiconductor containing itinerant carriers with finite spin relaxation. It is remarkable…

Materials Science · Physics 2007-05-23 J. E. Bunder , Hsiu-Hau Lin