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In Mott insulators with a half-filled $t_{2g}$ shell the Hund's rule coupling induces a spin-3/2 orbital-singlet ground state. The spin-orbit interaction is not expected to qualitatively impact low-energy degrees of freedom in such systems.…

Strongly Correlated Electrons · Physics 2023-08-28 Leonid V. Pourovskii

The current efforts to find the materials hosting Kitaev model physics have been focused on Mott insulators of d^5 pseudospin-1/2 ions Ir^{4+} and Ru^{3+} with t_{2g}^5(S=1/2, L=1) electronic configuration. Here we propose that the Kitaev…

Strongly Correlated Electrons · Physics 2018-01-11 Huimei Liu , Giniyat Khaliullin

The microscopic modeling of spin-orbit entangled $j=1/2$ Mott insulators such as the layered hexagonal Iridates Na$_2$IrO$_3$ and Li$_2$IrO$_3$ has spurred an interest in the physics of Heisenberg-Kitaev models. Here we explore the effect…

Strongly Correlated Electrons · Physics 2014-07-15 Eran Sela , Hong-Chen Jiang , Max H. Gerlach , Simon Trebst

We develop a microscopic theory of multipole interactions and orderings in 5$d^2$ transition metal ion compounds. In a cubic environment, the ground state of 5$d^2$ ions is a non-Kramers $E_g$ doublet, which is nonmagnetic but hosts…

Strongly Correlated Electrons · Physics 2021-08-25 Giniyat Khaliullin , Derek Churchill , P. Peter Stavropoulos , Hae-Young Kee

The collective magnetic excitations in the spin-orbit Mott insulator (Sr$_{1-x}$La$_x$)$_2$IrO$_4$ ($x=0,\,0.01,\,0.04,\, 0.1$) were investigated by means of resonant inelastic x-ray scattering. We report significant magnon energy gaps at…

Effects of spin-orbit interactions in condensed matter are an important and rapidly evolving topic. Strong competition between spin-orbit, on-site Coulomb and crystalline electric field interactions in iridates drives exotic quantum states…

Strongly Correlated Electrons · Physics 2018-02-27 Gang Cao , Pedro Schlottmann

We have performed inelastic neutron scattering (INS) experiments to investigate the magnetic excitations in the weakly distorted face-centered-cubic (fcc) iridate double perovskites La$_2$ZnIrO$_6$ and La$_2$MgIrO$_6$, which are…

Strongly Correlated Electrons · Physics 2016-06-29 A. A. Aczel , A. M. Cook , T. J. Williams , S. Calder , A. D. Christianson , G. -X. Cao , D. Mandrus , Y. B. Kim , A. Paramekanti

We study the magnetic interactions in Mott-Hubbard systems with partially filled $t_{2g}$-levels and with strong spin-orbit coupling. The latter entangles the spin and orbital spaces, and leads to a rich variety of the low energy…

Strongly Correlated Electrons · Physics 2009-02-11 G. Jackeli , G. Khaliullin

Co-based honeycomb magnets have been actively studied recently for the potential realization of emergent quantum magnetism therein such as the Kitaev spin liquid. Here we employ density functional and dynamical mean-field theory methods to…

Strongly Correlated Electrons · Physics 2025-08-11 Subhasis Samanta , Fabrizio Cossu , Heung-Sik Kim

The electronic properties of Mott insulators realized in (111) bilayers of perovskite transition-metal oxides are studied. The low-energy effective Hamiltonians for such Mott insulators are derived in the presence of a strong spin-orbit…

Strongly Correlated Electrons · Physics 2015-06-11 Satoshi Okamoto

A bond-directional anisotropic exchange interaction, called the Kitaev interaction, is a promising route to realize quantum spin liquids. The Kitaev interactions were found in Mott insulators with the strong spin-orbit coupling, in the…

Strongly Correlated Electrons · Physics 2020-04-08 Yusuke Sugita , Yasuyuki Kato , Yukitoshi Motome

We study the exchange interaction between two hole-spin qubits in a double quantum dot setup in a silicon nanowire in the presence of magnetic and electric fields. Based on symmetry arguments we show that there exists an effective spin that…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Bence Hetényi , Christoph Kloeffel , Daniel Loss

We derive a quantum spin Hamiltonian of the spin-1/2 zigzag chain realized in a rare earth ytterbium-based magnetic insulator, YbCuS2. This material undergoes a transition at 0.95K to an incommensurate magnetic phase with small moments,…

Strongly Correlated Electrons · Physics 2024-08-02 Hidehiro Saito , Hiroki Nakai , Chisa Hotta

The optical orientation and alignment of excitons in semiconductor indirect gap quantum dots have been studied theoretically. A special regime is analyzed in which the energy of the hyperfine interaction of an electron with lattice nuclei…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 D. S. Smirnov , E. L. Ivchenko

Transition metal compounds with the $(t_{2g})^4$ electronic configuration are expected to be nonmagnetic atomic singlets both in the weakly interacting regime due to spin-orbit coupling, as well as in the Coulomb dominated regime with…

Strongly Correlated Electrons · Physics 2017-01-16 Christopher Svoboda , Mohit Randeria , Nandini Trivedi

The effective quantum pseudospin-1/2 model for interacting rare-earth magnetic moments, which are locally described with atomic doublets, is studied theoretically for magnetic pyrochlore oxides. It is derived microscopically for localized…

Strongly Correlated Electrons · Physics 2015-03-17 Shigeki Onoda , Yoichi Tanaka

Transformation of Coulomb interaction terms to the pseudo-orbital basis constituted by $J=1/2$ and $3/2$ states arising from spin-orbit coupling provides a versatile tool. This formalism is applied to investigate magnetic anisotropy effects…

Strongly Correlated Electrons · Physics 2019-03-11 Shubhajyoti Mohapatra , Avinash Singh

In the quest for materials hosting Kitaev spin liquids, much of the efforts have been focused on the fourth- and fifth-row transition metal compounds, which are spin-orbit coupling assisted Mott insulators. Here, we study the structural and…

Strongly Correlated Electrons · Physics 2022-12-20 Shishir Kumar Pandey , Ji Feng

The quest for Kitaev quantum spin liquids has led to great interest in honeycomb quantum magnets with strong spin-orbit coupling. It has been recently proposed that even Mott insulators with $3d$ transition metal ions, having nominally weak…

Strongly Correlated Electrons · Physics 2021-11-25 Shreya Das , Sreekar Voleti , Tanusri Saha-Dasgupta , Arun Paramekanti

The Heisenberg-Kitaev (HK) model on the triangular lattice is conceptually interesting for its interplay of geometric and exchange frustration. HK models are also thought to capture the essential physics of the spin-orbital entanglement in…

Strongly Correlated Electrons · Physics 2015-04-29 Michael Becker , Maria Hermanns , Bela Bauer , Markus Garst , Simon Trebst
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