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We investigate the collective behavior of orbital angular momentum in the spin ferromagnetic state of a Mott insulator with $t_{2g}$ orbital degeneracy. The frustrated nature of the interactions leads to an infinite degeneracy of classical…

Strongly Correlated Electrons · Physics 2009-11-07 Giniyat Khaliullin , Satoshi Okamoto

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

The effective Hamiltonian for perovskite titanates is derived by taking into account the three-fold degeneracy of $t_{2g}$ orbitals and the strong electron-electron interactions. The magnetic and orbital ordered phases are studied in the…

Strongly Correlated Electrons · Physics 2009-11-07 S. Ishihara , T. Hatakeyama , S. Maekawa

We develop an understanding of the anomalous metal state of the parent compounds of recently discovered iron based superconductors starting from a strong coupling viewpoint, including orbital degrees of freedom. On the basis of an…

Superconductivity · Physics 2009-11-13 F. Krüger , S. Kumar , J. Zaanen , J. van den Brink

Finite temperature orbital state in a ferromagnetic Mott insulator with triply-degenerate $t_{2g}$ orbital is investigated numerically. We employ the quantum Monte Carlo simulation with the loop algorithm. Indications for conventional…

Strongly Correlated Electrons · Physics 2009-11-13 Takayoshi Tanaka , Sumio Ishihara

We study a two-dimensional single band Hubbard Hamiltonian with antisymmetric spin-orbit coupling. We argue that this is the minimal model to understand the electronic properties of locally non-centrosymmetric transition-metal (TM) oxides…

Strongly Correlated Electrons · Physics 2021-04-30 Mehdi Biderang , Alireza Akbari , Jesko Sirker

We summarize some characteristic features of the frustrated magnetic interactions in spin-orbital models adequate for cubic transition metal oxides with orbital degeneracy. A generic tendency towards dimerization, found already in the…

Strongly Correlated Electrons · Physics 2015-06-24 Andrzej M. Oles

In the perovskite Ti oxide RTiO3 (R=rare-earth ions), the Ti t2g orbitals and spins in the 3d^1 state couple each other through the strong electron correlations, resulting in a rich variety of orbital-spin phases. The origin and nature of…

Strongly Correlated Electrons · Physics 2007-05-23 Masahito Mochizuki , Masatoshi Imada

Motivated by recent experiments, we present a comprehensive theoretical study of the geometrically frustrated strongly correlated magnetic insulator Mn$_3$O$_4$ spinel oxide based on a microscopic Hamiltonian involving lattice, spin and…

Strongly Correlated Electrons · Physics 2017-08-23 Santanu Pal , Siddhartha Lal

Spectra of one-electron and collective excitations in narrow-band ferromagnets with unquenched orbital moments are calculated in various theoretical models. The interaction of spin and orbital excitations with conduction electrons results…

Strongly Correlated Electrons · Physics 2009-11-11 V. Yu. Irkhin , M. I. Katsnelson

We derive a spin-orbital Hamiltonian for a triangular lattice of e_g orbital degenerate (Ni^{3+}) transition metal ions interacting via 90 degree superexchange involving (O^{2-}) anions, taking into account the on-site Coulomb interactions…

Strongly Correlated Electrons · Physics 2009-11-11 Albert J. W. Reitsma , Louis F. Feiner , Andrzej M. Oles'

The elementary excitations of a model Hamiltonian that captures the low energy behavior of a simple two-fold degenerate Hubbard Hamiltonian with Hund's rule coupling, is studied. The phase diagram in the mean-field limit and in a two-site…

Strongly Correlated Electrons · Physics 2007-05-23 J. van den Brink , W. Stekelenburg , D. I. Khomskii , G. A. Sawatzky , K. I. Kugel

We consider a superexchange Hamiltonian, $H=-\sum_{<i,j>}(2{\bf S}_i\cdot {\bf S}_j-\frac 12)(2{\bf T}_i\cdot {\bf T}_j-\frac 12)$, which describes systems with orbital degeneracy and strong electron-phonon coupling in the limit of large…

Strongly Correlated Electrons · Physics 2013-01-24 Guang-Ming Zhang , Shun-Qing Shen

Neutron scattering was used to determine the spin structure and the magnon spectrum of the Mott--Hubbard insulator YTiO$_3$. The magnetic structure is complex, comprising substantial G-type and A-type antiferromagnetic components in…

Strongly Correlated Electrons · Physics 2009-11-07 C. Ulrich , G. Khaliullin , S. Okamoto , M. Reehuis , A. Ivanov , H. He , Y. Taguchi , Y. Tokura , B. Keimer

Using the variational cluster approach based on the self-energy functional theory, we study the possible occurrence of excitonic order and superconductivity in the two-orbital Hubbard model with intra- and inter-orbital Coulomb…

Strongly Correlated Electrons · Physics 2018-05-17 Ryo Fujiuchi , Koudai Sugimoto , Yukinori Ohta

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

We present a comprehensive study of the spin excitations - as measured by the dynamical spin structure factor $S(q,\omega)$ - of the so-called block-magnetic state of low-dimensional orbital-selective Mott insulators. We realize this state…

Strongly Correlated Electrons · Physics 2020-09-17 J. Herbrych , G. Alvarez , A. Moreo , E. Dagotto

We consider a model of strongly correlated $e_g$ electrons interacting by superexchange orbital interactions in the ferromagnetic phase of LaMnO$_3$. It is found that the classical orbital order with alternating occupied $e_g$ orbitals has…

Strongly Correlated Electrons · Physics 2009-10-31 Jeroen van den Brink , Peter Horsch , Frank Mack , Andrzej M. Oles

A systematic study of the electronic structure in perovskite manganites is presented. The effective Hamiltonian is derived by taking into account the degeneracy of $e_g$ orbitals and strong electron correlation in Mn ions. The spin and…

Strongly Correlated Electrons · Physics 2007-05-23 S. Maekawa , S. Ishihara , S. Okamoto

The correlated motion of electrons in the presence of strong orbital fluctuations and correlations is investigated with respect to magnetic couplings and excitations in an orbitally degenerate ferromagnet. Introduction of the orbital degree…

Strongly Correlated Electrons · Physics 2015-05-14 Dheeraj Kumar Singh , Bhaskar Kamble , Avinash Singh
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