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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 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

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

We study theoretically the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in one- and two-dimensions in presence of a Rashba spin-orbit (SO) coupling. We show that rotation of the spin of conduction electrons due to SO coupling causes a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hiroshi Imamura , Patrick Bruno , Yasuhiro Utsumi

We study theoretically the statistical properties of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between localized magnetic moments in a disordered two-dimensional electron gas with both Rashba and Dresselhaus spin-orbit couplings.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Stefano Chesi , Daniel Loss

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 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

A non-interacting electron gas on a one-dimensional ring is considered at finite temperatures. The localized spin is embedded at some point on the ring and it is assumed that the interaction between this spin and the electrons is the…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Sergey Smirnov

We argue that the magnetic susceptibility data, Refs. 1-3, for the low-density two-dimensional (2D) silicon-based electron gas indicate that magnetically active electrons are localised in spin-droplets. The droplets exist in both the…

Strongly Correlated Electrons · Physics 2014-05-16 Yevgeny V. Stadnik , Oleg P. Sushkov

We consider a C$_6$ invariant lattice of magnetic moments coupled via a Kondo exchange $J$ with a 2D electron gas (2DEG). The effective Ruderman-Kittel-Kasuya-Yosida interaction between the moments stabilizes a magnetic skyrmion crystal in…

Strongly Correlated Electrons · Physics 2020-05-20 Zhentao Wang , Ying Su , Shi-Zeng Lin , Cristian D. Batista

We study the Ruderman-Kittle-Kasuya-Yosida (RKKY) interaction in the presence of spin polarized two dimensional Dirac fermions. We show that a spin polarization along the z-axis mediates an anisotropic interaction which corresponds to a XXZ…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 F. Parhizgar , Reza Asgari , S. H. Abedinpour , M. Zareyan

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

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 investigate the spin-polarized transport properties of a two-dimensional electron gas in a n-type diluted magnetic narrow gap semiconductor quantum well subjected to a perpendicular magnetic and electric field. Interesting beating…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Yang , Kai Chang , X. G. Wu , H. Z. Zheng , F. M. Peeters

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 determine theoretically the interaction between two magnetic impurities embedded in a spin-split $s$-wave superconductor. The spin-splitting in the superconductor gives rise to two different interaction types between the impurity spins,…

Superconductivity · Physics 2022-02-07 Atousa Ghanbari , Jacob Linder

We investigate the magnetic behavior of nuclear spins embedded in a 2D interacting electron gas using a Kondo lattice model description. We derive an effective magnetic Hamiltonian for the nuclear spins which is of the RKKY type and where…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pascal Simon , Bernd Braunecker , Daniel Loss

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 theoretically discuss the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between semiconductor quantum dots (QDs). When each QD having a local spin is coupled to the conduction electrons in semiconductors, an indirect exchange…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. Tamura , K. Shiraishi , H. Takayanagi
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