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Magnetic skyrmions are mesmerizing spin textures with peculiar topological and dynamical properties, typically the product of competing interactions in ferromagnets, and with great technological potential [1-5]. Researchers have long…

Using quantum chemistry calculations we shed fresh light on the electronic structure and magnetic properties of RuCl3, a proposed realization of the honeycomb Kitaev spin model. It is found that the nearest-neighbor Kitaev exchange K is…

Strongly Correlated Electrons · Physics 2017-01-19 Ravi Yadav , Nikolay A. Bogdanov , Vamshi M. Katukuri , Satoshi Nishimoto , Jeroen van den Brink , Liviu Hozoi

Based on the refined crystal structure comprised of columns of 3*4 planar blocks of NbO6 octahedra and first principles electronic structure methods, we find that orthorhombic (o)-Nb$_{12}$O$_{29}$ introduces a new class of transition metal…

Strongly Correlated Electrons · Physics 2015-06-01 Kwan-Woo Lee , Warren E. Pickett

In this review article we describe spin-dependent transport in materials with spin-orbit interaction of Rashba type. We mainly focus on semiconductor heterostructures, topological insulators, graphene and hybrid structures involving…

Mesoscale and Nanoscale Physics · Physics 2015-09-29 Dario Bercioux , Procolo Lucignano

The ruby lattice is a four-valent lattice interpolating between honeycomb and triangular lattices. In this work we investigate the topological spin-liquid phases of a spin Hamiltonian with Kitaev interactions on the ruby lattice using exact…

Strongly Correlated Electrons · Physics 2016-09-28 Saeed S. Jahromi , Mehdi Kargarian , S. Farhad Masoudi , Abdollah Langari

We present a computational method to determine the exchange constants in isotropic spin models. The method uses the Hamiltonian and overlap matrices computed from density functional schemes that are based on nonorthogonal basis sets. We…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 László Oroszlány , Jaime Ferrer , András Deák , László Udvardi , László Szunyogh

The Kitaev model with an applied magnetic field in the $H||[111]$ direction shows two transitions: from a non-abelian gapped quantum spin liquid (QSL) to a gapless QSL at $H_{c1} \simeq 0.2K$ and a second transition at a higher field…

Strongly Correlated Electrons · Physics 2019-06-11 Niravkumar D. Patel , Nandini Trivedi

Noncollinear spin textures in ferromagnetic ultrathin films are currently the subject of renewed interest since the discovery of the interfacial Dzyaloshinskii-Moriya interaction (DMI). This antisymmetric exchange interaction selects a…

Anisotropic magnetic exchange interactions lead to a surprisingly rich variety of the magnetic properties. Considering the spin orbit coupling (SOC) as perturbation, we extract the general expression of a bilinear spin Hamiltonian,…

Materials Science · Physics 2023-08-29 Di Wang , Xiangyan Bo , Feng Tang , Xiangang Wan

Recently, realizations of Kitaev physics have been sought in the A2IrO3 family of honeycomb iridates, originating from oxygen-mediated exchange through edge-shared octahedra. However, for the j = 1/2 Mott insulator in these materials…

Strongly Correlated Electrons · Physics 2014-03-18 Jeffrey G. Rau , Eric Kin-Ho Lee , Hae-Young Kee

We have developed a method to systematically compute the form of Rashba- and Dresselhaus-like contributions to the spin Hamiltonian of heterostructures to an arbitrary order in the wavevector k. This is achieved by using the double group…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. Cartoixa , L. -W. Wang , D. Z. -Y. Ting , Y. -C. Chang

We propose a pair spin-orbit interaction (PSOI) mechanism by establishing a mesoscopic many-particle Rashba Hamiltonian. In lowest order, this Hamiltonian self-consistently describes exciton spin relaxation in monolayer transition metal…

Mesoscale and Nanoscale Physics · Physics 2026-02-18 Henry Mittenzwey , Andreas Knorr

In commensurate twisted homobilayers, purely radial Rashba spin-orbit fields can emerge. We employ first-principles calculations to investigate the band structures and the spin-orbit fields close to the high-symmetry points $K$ and $\Gamma$…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Thomas Naimer , Paulo E. Faria Junior , Klaus Zollner , Jaroslav Fabian

We construct a one-dimensional local spin Hamiltonian with an intrinsically non-local, and therefore anomalous, global $\mathbb{Z}_2$ symmetry. The model is closely related to the quantum Ising model in a transverse magnetic field, and…

Strongly Correlated Electrons · Physics 2019-05-22 Gertian Roose , Laurens Vanderstraeten , Jutho Haegeman , Nick Bultinck

The nature of the effective spin Hamiltonian and magnetic order in the honeycomb iridates is explored by considering a trigonal crystal field effect and spin-orbit coupling. Starting from a Hubbard model, an effective spin Hamiltonian is…

Strongly Correlated Electrons · Physics 2012-07-10 Subhro Bhattacharjee , Sung-Sik Lee , Yong Baek Kim

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

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

Here we report a study of the spin dynamics in the ferromagnetic chain compound $Li_{2}CuO_{2}$. Inelastic neutron scattering measurements allow for the spin Hamiltonian to be determined using a $J_{1}-J_{2}$ $XXZ$-Heisenberg spin chain…

Strongly Correlated Electrons · Physics 2023-08-10 Eli Zoghlin , Matthew B. Stone , Stephen D. Wilson

Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations,…

Strongly Correlated Electrons · Physics 2025-08-25 Patrick M. Lenggenhager , Santanu Dey , Tomáš Bzdušek , Joseph Maciejko

Skyrmions are particle-like spin textures that arise from spin spiral states in the presence of an external magnetic field. These spirals can originate from either frustrated Heisenberg exchange interactions or the interplay between…

Mesoscale and Nanoscale Physics · Physics 2025-10-02 Timo Knispel , Vasily Tseplyaev , Gustav Bihlmayer , Stefan Blügel , Thomas Michely , Jeison Fischer