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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…

The Ruderman--Kittel--Kasuya--Yosida (RKKY) interaction governs the coupling between localized spins and is strongly affected by the environment in which these spins reside. In superconductors, this interaction becomes long-ranged and…

Superconductivity · Physics 2024-05-15 Jabir Ali Ouassou , Takehito Yokoyama , Jacob Linder

We present a theory for the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction mediated by a two-dimensional (2D) electron system subjected to periodic driving. This is demonstrated for a heterostructure consisting of two ferromagnets…

Mesoscale and Nanoscale Physics · Physics 2024-09-02 Mahmoud M. Asmar , Wang-Kong Tse

We report the determination of the Dzyaloshinsky-Moriya interaction, the dominant magnetic anisotropy term in the \kagome spin-1/2 compound {\herbert}. Based on the analysis of the high-temperature electron spin resonance (ESR) spectra, we…

Strongly Correlated Electrons · Physics 2009-11-13 A. Zorko , S. Nellutla , J. van Tol , L. C. Brunel , F. Bert , F. Duc , J. C. Trombe , M. A. de Vries , A. Harrison , P. Mendels

The spin-1/2 Heisenberg model is formulated in terms of a mean-field approximation (MFA) by using the matrix forms of spin operators $\hat{S}_x,\hat{S}_y$ and $\hat{S}_z$ in three-dimensions. The considered Hamiltonian consists of bilinear…

Statistical Mechanics · Physics 2022-10-10 E. Albayrak

Motivated by recent synthetic and theoretical progress we consider magnetism in crystals of multi-nuclear organometallic complexes. We calculate the Heisenberg symmetric exchange and the Dzyaloshinskii-Moriya antisymmetric exchange. We show…

Strongly Correlated Electrons · Physics 2017-08-04 B. J. Powell , J. Merino , A. L. Khosla , A. C. Jacko

Inspired by the recent discovery of metallic spin supersolidity and its giant magnetocaloric effect in the rare-earth alloy EuCo$_2$Al$_9$ [Nature 651, 61 (2026)], we perform a combined study through electronic structure analysis, effective…

Strongly Correlated Electrons · Physics 2026-03-26 Ning Xi , Xitong Xu , Guoliang Wu , Mingfang Shu , Hao Chen , Yuan Gao , Zhentao Wang , Gang Su , Jie Ma , Zhe Qu , Xi Chen , Wei Li

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction mediates collinear magnetic interactions via the conduction electrons of a non-magnetic spacer, resulting in a ferro- or antiferromagnetic magnetization in magnetic multilayers. The…

Materials Science · Physics 2022-08-05 Jing Qi , Paula M. Weber , Tilman Kißlinger , Lutz Hammer , M. Alexander Schneider , Matthias Bode

We extend the original work of Ruderman, Kittel, Kasuya, and Yosida (RKKY) on the interaction between two magnetic moments embedded in an electron gas to the case where the electron gas is spin polarized. The broken symmetry of a host…

Strongly Correlated Electrons · Physics 2015-11-25 Mohammad Mahdi Valizadeh , Sashi Satpathy

Altermagnets are known in spintronics for their intrinsic spin-splitting and unconventional magnetic responses, particularly to magnetic impurities. However, effectively controlling the magnetic exchange interactions in altermagnets is…

Mesoscale and Nanoscale Physics · Physics 2025-06-12 Mohsen Yarmohammadi , Ulrich Zülicke , Jamal Berakdar , Jacob Linder , James K. Freericks

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 investigate the magnetic-field dependence of the interaction between two Rydberg atoms, $|nS_{1/2}, m_J\rangle$ and $|(n+1)S_{1/2}, m_J\rangle$. In this setting, the effective spin-1/2 Hamiltonian takes the form of an {\it XXZ} model. We…

Quantum Gases · Physics 2025-11-07 Masaya Kunimi , Takafumi Tomita

We examine the influence of an anisotropic interaction term of Dzyaloshinskii-Moriya (DM) type on the groundstate ordering of the J_1-J_2 spin-1/2-Heisenberg antiferromagnet on the square lattice. For the DM term we consider several…

Condensed Matter · Physics 2009-10-28 A. Voigt , J. Richter

We study Rudermann-Kittel-Kasuya-Yosida (RKKY) interaction in carbon nanotubes (CNTs) and graphene nanoribbons in the presence of spin orbit interactions and magnetic fields. For this we evaluate the static spin susceptibility tensor in…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 Jelena Klinovaja , Daniel Loss

Using the density-matrix renormalization-group algorithm (DMRG) and a finite-size scaling analysis, we study the properties of the one-dimensional completely-anisotropic spin-1/2 XYZ model with Dzyaloshinsky-Moriya (DM) interactions. The…

Statistical Mechanics · Physics 2014-09-11 Sebastiano Peotta , Leonardo Mazza , Ettore Vicari , Marco Polini , Rosario Fazio , Davide Rossini

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 take a two-step theoretical approach to study magnetism of rare earth quasicrystals by considering Ising spins on quasiperiodic tilings, coupled via RKKY interactions. First, we compute RKKY interactions from a tight-binding Hamiltonian…

Strongly Correlated Electrons · Physics 2016-01-07 Stefanie Thiem , J. T. Chalker

We investigate the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction arising from the hyperfine coupling between localized nuclear spins and conduction electrons in interacting $^{13}$C carbon nanotubes. Using the Luttinger liquid formalism,…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

Carrier-mediated exchange coupling, known as Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, plays a fundamental role in itinerant ferromagnetism and has great application potentials in spintronics. A recent theorem based on the…

Strongly Correlated Electrons · Physics 2015-05-13 J. E. Bunder , Hsiu-Hau Lin

The proposed high-spin superconductivity in the half-Heusler compounds changes the landscape of superconductivity research. While superconducting instability is possible only in systems with quantum mechanically coherent quasiparticles, it…

Strongly Correlated Electrons · Physics 2021-10-08 Hyunsoo Kim , Junhyun Lee , Halyna Hodovanets , Kefeng Wang , Jay D. Sau , Johnpierre Paglione