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It has been suggested that the enlarged spin susceptibility in topological insulators, described by Van Vleck's formalism, accounts for the ferromagnetism of bismuth-antimony topological chalcogenides doped with transition metal impurities.…

Mesoscale and Nanoscale Physics · Physics 2022-02-07 Cezary Sliwa , Carmine Autieri , Jacek A. Majewski , Tomasz Dietl

Motivated by the recently synthesized insulating nickelate Ni$_2$Mo$_3$O$_8$, which has been reported to have an unusual non-collinear magnetic order of Ni$^{2+}$ $S=1$ moments with a nontrivial angle between adjacent spins, we construct an…

Strongly Correlated Electrons · Physics 2021-08-17 Shuyi Li , Manh Duc Le , Vaideesh Loganathan , Andriy H. Nevidomskyy

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

The indirect RKKY interaction in a layered metal with nearly nested (almost squared) Fermi surface is evaluated analytically. The final expressions are obtained in closed form as a combination of Bessel functions. We show that the expected…

Strongly Correlated Electrons · Physics 2009-10-31 D. N. Aristov , S. V. Maleyev

We show that the effective spin-spin interaction between three-level atoms confined in a multimode optical cavity is long-ranged and sign-changing, like the RKKY interaction; therefore, ensembles of such atoms subject to frozen-in…

Quantum Gases · Physics 2012-01-04 Sarang Gopalakrishnan , Benjamin L. Lev , Paul M. Goldbart

We obtain an analytical expression for the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction $J$ in electron or hole doped graphene for linear Dirac bands. The results agree very well with the numerical calculations for the full…

Mesoscale and Nanoscale Physics · Physics 2011-09-13 M. Sherafati , S. Satpathy

We study the magnetic properties of metallic GaMnAs. We calculate the effective RKKY interaction between Mn spins using several realistic models for the valence band structure of GaAs. We also study the effect of positional disorder of the…

Materials Science · Physics 2007-05-23 Gregory A. Fiete , Gergely Zarand , Boldizsar Janko , Pawel Redlinski , C. Pascu Moca

The quantitative roles of the interfacial spin-orbit coupling (SOC) in Dzyaloshinskii-Moriya interaction (DMI) and dampinglike spin-orbit torque ({\tau}DL) have remained unsettled after a decade of intensive study. Here, we report a…

Materials Science · Physics 2022-06-20 Lijun Zhu , Lujun Zhu , Xin Ma , Xiaoqin Li , Robert A. Buhrman

Periodic driving has the longstanding reputation for generating exotic phases of matter with no static counterparts. This work explores the interplay among periodic driving, interaction effects, and $\mathbb{Z}_2$ symmetry that leads to the…

Strongly Correlated Electrons · Physics 2022-11-17 Kelvin Koor , Raditya Weda Bomantara , Leong Chuan Kwek

We show that the carrier-mediated exchange interaction, the so-called RKKY coupling, between two magnetic impurity moments in graphene is significantly modified in the presence of electron-electron interactions. Using the mean-field…

Strongly Correlated Electrons · Physics 2013-05-29 Annica M. Black-Schaffer

We consider RKKY interaction between two magnetic impurities in graphene. The consideration is based on the perturbation theory for the thermodynamic potential in the imaginary time representation. We analyze the symmetry of the RKKY…

Mesoscale and Nanoscale Physics · Physics 2017-12-29 E. Kogan

We study the exchange interaction $J$ between two magnetic impurities in graphene (the RKKY interaction) by directly computing the lattice Green's function for the tight-binding band structure for the honeycomb lattice. The method allows us…

Mesoscale and Nanoscale Physics · Physics 2011-04-20 M. Sherafati , S. Satpathy

We discuss the effects of magnetic impurities on d-wave superconductors. We calculate the electron mediated RKKY interaction between the impurity spins in a d-wave superconductor and find that it decays as $r^{-3}$ at large distances. We…

Superconductivity · Physics 2007-05-23 Patrik Henelius , A. V. Balatsky , J. R. Schrieffer

We propose an RKKY-type interaction that is mediated by a spin liquid. If a spin liquid ground state exists such an interaction could leave a fingerprint by ordering underlying localized moments such as nuclear spins. This interaction has a…

Mesoscale and Nanoscale Physics · Physics 2019-12-05 H. F. Legg , Bernd Braunecker

Effects of a charge-density-wave (CDW) order on the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction has been theoretically investigated. Assuming that the CDW with an incommensurate ordering vector ${\bf Q}_c$ is induced by a Fermi surface…

Strongly Correlated Electrons · Physics 2025-03-27 Kazushi Aoyama

We engineer topological insulating phases in a fermion-fermion mixture on the honeycomb lattice, without resorting to artificial gauge fields or spin-orbit couplings and considering only local interactions. Essentially, upon integrating out…

Strongly Correlated Electrons · Physics 2016-05-26 Tianhan Liu , Benoît Douçot , Karyn Le Hur

We simulate the indirect exchange interaction between Mn-rich Mn(Ga)As nanoclusters in GaAs by analytical means. In contrast to the conventional Ruderman-Kittel-Kasuya-Yosida (RKKY) formula which considers the mediation by the carriers in…

Materials Science · Physics 2009-01-09 Ching-Hao Chang , T. M. Hong

We propose to simulate the anisotropic and chiral Dzyaloshinskii-Moriya (DM) interaction with Rydberg atom arrays. The DM Hamiltonian is engineered in a one-dimensional optical lattice or trap array with effective long-range Rydberg spins,…

We show that the recent experimental realization of spin-orbit coupling in ultracold atomic gases can be used to study different types of spin spiral order and resulting multiferroic effects. Spin-orbit coupling in optical lattices can give…

Quantum Gases · Physics 2015-06-01 Ming Gong , Yinyin Qian , Mi Yan , V. W. Scarola , Chuanwei Zhang

The Dzyaloshinskii-Moriya Interaction (DMI) between spins is induced by spin-orbit coupling in magnetic materials lacking inversion symmetry. DMI is recognized to play a crucial role at the interface between ferromagnetic (FM) and heavy…

Materials Science · Physics 2015-12-31 Hongxin Yang , André Thiaville , Stanislas Rohart , Albert Fert , Mairbek Chshiev