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The temperature dependence and anisotropy of optical spectral weights associated with different multiplet transitions is determined by the spin and orbital correlations. To provide a systematic basis to exploit this close relationship…

Strongly Correlated Electrons · Physics 2007-05-23 Andrzej M. Oles , Giniyat Khaliullin , Peter Horsch , Louis Felix Feiner

We present a theory of spin and orbital states in Mott insulator $LaTiO_3$. The spin-orbital superexchange interaction between $d^1(t_{2g})$ ions in cubic crystal suffers from a pathological degeneracy of orbital states at classical level.…

Strongly Correlated Electrons · Physics 2009-10-31 G. Khaliullin , S. Maekawa

We show that the anisotropy of the effective spin model for the dimer Mott insulator phase of $\kappa$-(BEDT-TTF)$_2X$ salts is dramatically different from that of the underlying tight-binding model. Intra-dimer quantum interference results…

Strongly Correlated Electrons · Physics 2018-07-11 B. J. Powell , E. P. Kenny , J. Merino

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…

Iridate oxides on a honeycomb lattice are considered promising candidates for realization of quantum spin liquid states. We investigate the magnetic couplings in a structural model for a honeycomb iridate K$_2$IrO$_3$, with $C_3$ point…

Strongly Correlated Electrons · Physics 2019-10-23 Ravi Yadav , Satoshi Nishimoto , Manuel Richter , Jeroen van den Brink , Rajyavardhan Ray

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

Mott insulators with both spin and orbital degeneracy are pertinent to a large number of transition metal oxides. The intertwined spin and orbital fluctuations can lead to rather exotic phases such as quantum spin-orbital liquids. Here we…

Quantum Gases · Physics 2015-03-27 Zhenyu Zhou , Erhai Zhao , W. Vincent Liu

Static electrical and magnetic properties of single crystal BaVS_3 were measured over the structural (T_S=240K), metal-insulator (T_MI=69K), and suspected orbital ordering (T_X=30K) transitions. The resistivity is almost isotropic both in…

Strongly Correlated Electrons · Physics 2009-10-31 G. Mihaly , I. Kezsmarki , F. Zamborszky , M. Miljak , K. Penc , P. Fazekas , H. Berger , L. Forro

Using resonant x-ray diffraction, we observe an easy c-axis collinear antiferromagnetic structure for the bilayer Sr$_3$Ir$_2$O$_7$, a significant contrast to the single layer Sr$_2$IrO$_4$ with in-plane canted moments. Based on a…

Strongly Correlated Electrons · Physics 2012-12-11 J. W. Kim , Y. Choi , Jungho Kim , J. F. Mitchell , G. Jackeli , M. Daghofer , J. van den Brink , G. Khaliullin , B. J. Kim

Basic mechanisms controlling orbital order and orbital fluctuations in transition metal oxides are discussed. The lattice driven classical orbital picture, e.g. like in manganites LaMnO$_3$, is contrasted to the quantum behavior of orbitals…

Strongly Correlated Electrons · Physics 2009-11-11 Giniyat Khaliullin

An effective spin model for Mott insulators is determined by the symmetries involved among magnetic sites, electron fillings, and their interactions. Such a spin Hamiltonian offers insight to mechanisms of magnetic orders and magnetic…

Strongly Correlated Electrons · Physics 2022-08-05 Xiaoyu Liu , Derek Churchill , Hae-Young Kee

We point out that large composite spin-orbital fluctuations in Mott insulators with $t_{2g}$ orbital degeneracy are a manifestation of quantum entanglement of spin and orbital variables. This results in a dynamical nature of the spin…

Strongly Correlated Electrons · Physics 2007-05-23 Andrzej M. Oles , Peter Horsch , Louis Felix Feiner , Giniyat Khaliullin

The magnetic anisotropy of low-dimensional Mott systems exhibits unexpected magnetotransport behavior useful for spin-based quantum electronics. Yet, the anisotropy of natural materials is inherently determined by the crystal structure,…

Direction-dependent anisotropic exchange is a common feature of magnetic systems with strong spin-orbit coupling. Here we study the effect of such exchange upon macroscopic magnetic anisotropy for a face-centered-cubic model. By several…

Strongly Correlated Electrons · Physics 2015-07-29 Hiroaki Ishizuka , Leon Balents

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

Evidence for multiple magnetic transitions and unconventional spin exchange interactions in the ilmenite insulator MnTiO3 is provided via neutron scattering. On cooling, while G-type antiferromagnetic (AFM) order sets in first at 63 K with…

Strongly Correlated Electrons · Physics 2026-03-09 Srimal Rathnayaka , Luke Daemen , Despina Louca

The physics of Mott insulators underlies diverse phenomena ranging from high temperature superconductivity to exotic magnetism. Although both the electron spin and the structure of the local orbitals play a key role in this physics, in most…

The recent discovery of magnetic topological insulators has opened new avenues to explore exotic states of matter that can emerge from the interplay between topological electronic states and magnetic degrees of freedom, be it ordered or…

Strongly Correlated Electrons · Physics 2022-02-03 A. Alfonsov , J. I. Facio , K. Mehlawat , A. G. Moghaddam , R. Ray , A. Zeugner , M. Richter , J. van den Brink , A. Isaeva , B. Büchner , V. Kataev

Mott insulators with localized magnetic moments will exhibit a quantum spin liquid (QSL) state when the quantum fluctuations are strong enough to suppress the ordering of the spins. Such an entangled state will give rise to collective…

Strongly Correlated Electrons · Physics 2025-04-17 Haiyang Chen , Fo-Hong Wang , Qiang Gao , Xue-Jian Gao , Zhenhua Chen , Yaobo Huang , Kam Tuen Law , Xiao Yan Xu , Peng Chen
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