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On the basis of the multi-orbital dynamical mean field theory, a three-orbital Hubbard model with a relativistic spin-orbit coupling (SOC) is studied at five electrons per site. The numerical calculations are performed by employing the…

Strongly Correlated Electrons · Physics 2015-06-23 Toshihiro Sato , Tomonori Shirakawa , Seiji Yunoki

Motivated by recent experiments exploring the spin-orbit-coupled magnetism in $4d$- and $5d$-band transition metal oxides, we study magnetic interactions in Ir- and Rh-based compounds. In these systems, the comparable strength of spin-orbit…

Strongly Correlated Electrons · Physics 2015-06-17 Natalia B. Perkins , Yuriy Sizyuk , Peter Wölfle

The nature of metal-insulator and magnetic transitions is still a subject under intense debate in condensed matter physics. Amongst the many possible mechanisms, the interplay between electronic correlations and spin-orbit couplings is an…

Strongly Correlated Electrons · Physics 2022-10-27 Welberth Kennedy , Sebastião dos Anjos Sousa Júnior , Natanael C. Costa , Raimundo R. dos Santos

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

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

In this work, we investigate the possible dramatic effects of Rashba or Dresselhaus spin-orbit coupling (SOC) on fermionic Hubbard model in a 2d square lattice. In the strong coupling limit, it leads to the Rotated Anti-ferromagnetic…

Strongly Correlated Electrons · Physics 2017-08-30 Fadi Sun , Jinwu Ye , Wu-Ming Liu

We clarify the ground state phase diagram of the half-filled square-lattice Hubbard model with Rashba spin-orbit coupling (SOC) characterized by the spin-split energy bands due to broken inversion symmetry. Although the Rashba metals and…

Strongly Correlated Electrons · Physics 2023-01-19 Masataka Kawano , Chisa Hotta

Spin-orbit coupling (SOC) is a key interaction in spintronics, allowing an electrical control of spin or magnetization and, vice versa, a magnetic control of electrical current. However, recent advances have revealed much broader…

In this study, we propose an alternative route to achieving topological superconductivity (TSC). Our approach applies to a new class of correlated noncentrosymmetric materials that host two spin-split Fermi surfaces with identical spin…

Superconductivity · Physics 2026-01-28 Lichuan Wang , Ran Wang , Xinliang Huang , Xianxin Wu , Ning Hao

Close to half filling and in the limit of strong interactions the Hubbard model leads a spin Hamiltonian. In its original isotropic form this is the Heisenberg model with antiferromagnetic coupling $J$. On a square lattice there is no…

Strongly Correlated Electrons · Physics 2016-12-28 Aaron Farrell , P. -K. Wu , Y. -J. Kao , T. Pereg-Barnea

In past few decades, Rashba spin-orbit coupling (SOC) has been successfully employed for the emergence of exotic phenomena at the quantum oxide interfaces. In these systems, the combined effect of charge transfer, broken symmetries and SOC…

Materials Science · Physics 2022-05-24 Megha Vagadia , Jaya Prakash Sahoo , Ankit Kumar , Suman Sardar , Tejas Tank , D. S. Rana

Anisotropic superexchange interaction is one of the most important interactions in realizing exotic quantum magnetism, which is traditionally regarded to originate from magnetic ions and has no relation with the nonmagnetic ions. In our…

Strongly Correlated Electrons · Physics 2020-10-13 Jun Chang , Jize Zhao , Yang Ding

Spin-orbit coupling (SOC) is pivotal for various fundamental spin-dependent phenomena in solids and their technological applications. In semiconductors, these phenomena have been so far studied in relatively weak electron-electron…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 D. Maryenko , M. Kawamura , A. Ernst , V. K. Dugaev , E. Ya. Sherman , M. Kriener , M. S. Bahramy , Y. Kozuka , M. Kawasaki

The influence of the spin-orbit coupling on the magnetic structure of deposited transition metal nanostructure systems has been studied by fully relativistic electronic structure calculations. The interplay of exchange coupling and magnetic…

Materials Science · Physics 2009-02-20 S. Mankovsky , S. Bornemann , J. Minár , S. Polesya , H. Ebert , J. B. Staunton , A. I. Lichtenstein

The cooperative effect of Rashba spin-orbit coupling (SOC) and Coulomb attraction in stabilizing topological spin-triplet excitonic condensates (ECs) in two-dimensional electron-hole systems in external magnetic field is investigated by…

Strongly Correlated Electrons · Physics 2026-03-11 Quoc-Huy Ninh , Huu-Nha Nguyen , Van-Nham Phan

We consider the extended Hubbard model and introduce a corresponding Heisenberg-like problem written in terms of spin operators. The derived formalism is reminiscent of Anderson's idea of the effective exchange interaction and takes into…

Strongly Correlated Electrons · Physics 2018-07-25 E. A. Stepanov , S. Brener , F. Krien , M. Harland , A. I. Lichtenstein , M. I. Katsnelson

Ferromagnetism in the two-dimensional CrI$_3$ has generated a lot of excitement, and it was recently proposed that the spin-orbit coupling (SOC) in Iodine may generate bond-dependent spin interactions leading to magnetic anisotropy. Here we…

Strongly Correlated Electrons · Physics 2021-03-17 P. Peter Stavropoulos , Xiaoyu Liu , Hae-Young Kee

Spin-orbit coupling (SOC) gives rise to complex magnetic states such as spin liquids, skyrmion crystals, and topological spin-wave excitations. We consider exchange interactions in multi-orbital Mott insulators where SOC is strong on ligand…

Strongly Correlated Electrons · Physics 2026-03-23 Evgenii Barts , Paolo Barone , Maxim Mostovoy

The Hubbard model is used to study an electronic system at half filling. Starting from a functional integral representation the spin-up Grassmann field is integrated out. It is shown that the resulting spinless fermion theory has an…

Strongly Correlated Electrons · Physics 2007-05-23 Klaus Ziegler

For 2D Hubbard model with spin-orbit Rashba coupling in external magnetic field the structure of effective spin interactions is studied in the regime of strong electron correlations and at half-filling. It is shown that in the third order…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 M. S. Shustin , V. A. Stepanenko , D. M. Dzebisashvili
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