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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

The two dimensionality plus the linear band structure of graphene leads to new behavior of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, which is the interaction between two magnetic moments mediated by the electrons of the host…

Mesoscale and Nanoscale Physics · Physics 2012-08-13 M. Sherafati , S. Satpathy

We study the stabilization of an isolated magnetic skyrmion in a magnetic monolayer on a nonmagnetic conducting substrate via the Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interaction. Two different types of the substrate are…

Strongly Correlated Electrons · Physics 2018-02-14 Alla V. Bezvershenko , Alexei K. Kolezhuk , Boris A. Ivanov

We study the Kondo lattice model of multipolar magnetic moments interacting with conduction electrons on a triangular lattice. Bond-dependent electron hoppings induce a compass-like anisotropy in the effective Ruderman-Kittel-Kasuya-Yosida…

Strongly Correlated Electrons · Physics 2025-02-17 Hao Zhang , Shi-Zeng Lin

We study the ordering properties of the isotropic RKKY Heisenberg model on the two-dimensional (2D) triangular lattice by extensive Monte Carlo simulations to get insights into the chiral-degenerate skyrmion crystal (SkX) of metallic…

Strongly Correlated Electrons · Physics 2022-03-24 Kota Mitsumoto , Hikaru Kawamura

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

We study the indirect exchange interaction between two localized magnetic moments, known as Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, in a one-dimensional spin-polarized electron gas. We find explicit expressions for each term of…

Strongly Correlated Electrons · Physics 2016-10-04 M. M. Valizadeh

We study inter-skyrmion interactions and stable spin configurations in a 2D chiral magnet with in-plane anisotropies of a tilted magnetic field and the magneto-crystalline anisotropy on a (011) thin film. We find that in both cases a small…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Mai Kameda , Rio Koyama , Takuro Nakajima , Yuki Kawaguchi

Interaction of two skyrmions stabilized by the ferromagnetic exchange, Dzyaloshinskii-Moriya interaction (DMI), and external magnetic field has been studied numerically on a 2D lattice of size large compared to the separation, $d$, between…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Daniel Capic , D. A. Garanin , E. M. Chudnovsky

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

The skyrmion number density, $q\equiv\vec{n}\cdot\left(\partial_x\vec{n}\times\partial_y\vec{n}\right)/(4\pi)$, is one of the key quantities that characterizes the topological properties of a magnetic skyrmion. In this work, we propose a…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Emir Syahreza Fadhilla , M Shoufie Ukhtary , Ardian Nata Atmaja , Bobby Eka Gunara

Understanding skyrmion-skyrmion interactions is crucial for effectively manipulating the motion of multiple skyrmions in racetrack and logic devices. However, the fundamental nature and microscopic origins of these interactions remain…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Xuchong Hu , Huaiyang Yuan , Xiangrong Wang

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

Recently, there has been substantial interest in realizations of skyrmions, in particular in 2D systems due to increased stability resulting from reduced dimensionality. A stable skyrmion, representing the smallest realizable magnetic…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Utkan Güngördü , Rabindra Nepal , Oleg A. Tretiakov , Kirill Belashchenko , Alexey A. Kovalev

We generate a crystal of skyrmions in two dimensions using a Heisenberg Hamiltonian including the ferromagnetic interaction J, the Dzyaloshinskii-Moriya interaction D, and an applied magnetic field H. The ground state (GS) is determined by…

Statistical Mechanics · Physics 2018-04-04 Sahbi El Hog , Aurélien Bailly-Reyre , H. T. Diep

In recent years, the skyrmion lattice phase with a short lattice constant has attracted attention due to its high skyrmion density, making it a promising option for achieving high-density storage memory and for observing novel phenomena…

Strongly Correlated Electrons · Physics 2024-04-04 Takuya Nomoto , Ryotaro Arita

Motivated by recent experiments in Gd$_3$Ru$_4$Al$_{12}$, we demonstrate the emergence of atomic scale Skyrmions in interacting spins on a breathing kagome lattice with competing nearest neighbor ferromagnetic and next nearest neighbor…

Strongly Correlated Electrons · Physics 2022-03-08 Nyayabanta Swain , Munir Shahzad , Pinaki Sengupta

A discussion on the interaction between skyrmions in a bi-layer system connected by a non-magnetic metal is presented. From considering a free charge carrier model, we have shown that the Ruderman-Kittel-Kasuya-Yosida (RKKY ) inter- action…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 R. Cacilhas , S. Vojkovic , V. L. Carvalho-Santos , E. B. Carvalho , A. R. Pereira , D. Altbir , Á. S. Núñez

We investigate magnetic order in a lattice of classical spins coupled to an isotropic gas of one-dimensional (1d) conduction electrons via local exchange interactions. The frequently discussed Ruderman-Kittel-Kasuya-Yosida (RKKY) effective…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Michael Schecter , Mark S. Rudner , Karsten Flensberg

Recent developments have led to an explosion of activity on skyrmions in three-dimensional (3D) chiral magnets. Experiments have directly probed these topological spin textures, revealed their nontrivial properties, and led to suggestions…

Strongly Correlated Electrons · Physics 2014-09-11 Sumilan Banerjee , James Rowland , Onur Erten , Mohit Randeria
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