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From a general model of the Mn oxides R_{1-x}A_{x}MnO_3, we derive an effective Hamiltonian in the low-energy subspace using the projection operator method, in which a novel coupling between the spin and orbital degrees of freedom is…

Strongly Correlated Electrons · Physics 2007-05-23 L. Sheng , C. S. Ting

Competition and cooperation between electron correlation and relativistic spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An illustrative example is spin-orbit entangled quantum liquids, which exhibit remarkable…

Strongly Correlated Electrons · Physics 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome

The ferroelectric phase of the multiferroic hexagonal manganites (h-ReMnO3) has been reported to undergo a series of magnetic transitions involving long-range ordering/reorientation of 4fRe3+ and/or 3dMn3+ spins below room temperature.…

Heterostructures of transition-metal oxides emerged as a new route to engineer electronic systems with desired functionalities. Motivated by these developments, we study a two-orbital Hubbard model in a thin-film geometry confined along the…

Strongly Correlated Electrons · Physics 2014-07-09 Andreas Rüegg , Hsiang-Hsuan Hung , Emanuel Gull , Gregory A. Fiete

Theory of dilution effect in orbital ordered system is presented. The $e_g$ orbital model without spin degree of freedom and the spin-orbital coupled model in a three-dimensional simple-cubic lattice are analyzed by the Monte-Carlo…

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

We present the zero-temperature phase diagram of the one-dimensional t2g-orbital Hubbard model, obtained using the density-matrix renormalization group and Lanczos techniques. Emphasis is given to the case for the electron density n=5…

Strongly Correlated Electrons · Physics 2009-11-11 Jose Xavier , Hiroaki Onishi , Takashi Hotta , Elbio Dagotto

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 five-band Hubbard model for a $d$ band with one electron per site is a model which has very interesting properties when the relevant ions are located at sites with high (e. g. cubic) symmetry. In that case, if the crystal field…

Strongly Correlated Electrons · Physics 2009-11-10 A. B. Harris , T. Yildirim , A. Aharony , O. Entin-Wohlman , I. Ya. Korenblit

We incorporate spin-orbit coupling (SOC) into effective Kugel-Khomskii models for the $n=1$ and $n=2$ members of the Ruddlesden-Popper series Sr$_{n+1}$Cr$_n$O$_{3n+1}$. These model contain interacting spins 1 and pseudospins 1/2 at each…

Strongly Correlated Electrons · Physics 2026-04-01 Cristian Fanjul , A. A. Aligia

On the example of monolayer manganites we show that the theoretical ideas developed long ago along the derivation of the spin t-J model from the Hubbard model are nowadays very helpful in strongly correlated oxides with partly filled…

Strongly Correlated Electrons · Physics 2007-07-03 M. Daghofer , A. M. Oles

The concept of spin-orbital entanglement on superexchange bonds in transition metal oxides is introduced and explained on several examples. It is shown that spin-orbital entanglement in superexchange models destabilizes the long-range (spin…

Strongly Correlated Electrons · Physics 2012-07-13 Andrzej M. Oleś

We investigated the metal-ordered manganite system YBaMn2O6 using electron spin resonance (ESR) in the paramagnetic regime across the charge-ordering and structural phase transition at T_CO = 480 K and T_t = 520 K, respectively. All ESR…

Strongly Correlated Electrons · Physics 2009-11-13 D. Zakharov , J. Deisenhofer , H. -A. Krug von Nidda , T. Nakajima , Y. Ueda , A. Loidl

Motivated by the recent neutron diffraction experiment on $YVO_3$, we consider a microscopic model where each $V^{3+}$ ion is occupied by two 3d electrons of parallel spins with two fold degenerate orbital configurations. The mean field…

Strongly Correlated Electrons · Physics 2007-05-23 Theja N. De Silva , Anuvrat Joshi , Michael Ma , Fu Chun Zhang

We show that the $t_{2g}^2$ perovskite LaVO$_3$, in its orthorhombic phase, is a rare case of a system hosting an orbital-ordering Kugel-Khomskii phase transition, rather than being controlled by the Coulomb-enhanced crystal-field…

Strongly Correlated Electrons · Physics 2022-09-13 Xue-Jing Zhang , Erik Koch , Eva Pavarini

We perform large scale finite-temperature Monte Carlo simulations of the classical $e_g$ and $t_{2g}$ orbital models on the simple cubic lattice in three dimensions. The $e_g$ model displays a continuous phase transition to an orbitally…

Strongly Correlated Electrons · Physics 2011-05-18 Sandro Wenzel , Andreas M. Läuchli

Using the multiband $d-p$ model and unrestricted Hartree-Fock approximation we investigate the electronic structure and spin-orbital order in three-dimensional MnO$_3$ lattice such as realized in LaMnO$_3$. The orbital order is induced and…

Strongly Correlated Electrons · Physics 2019-04-04 Krzysztof Rościszewski , Andrzej M. Oleś

Density functional calculations are performed to study the magnetic order of the severely distorted square planar cupric oxide (CuO) and local spin disorder in it in the presence of the transition metal impurities M (= Cr, Mn, Fe, Co and…

Strongly Correlated Electrons · Physics 2017-04-05 B. G. Ganga , P. N. Santhosh , B. R. K. Nanda

The influence of spin-orbit interactions on the Kondo effect has been under debate recently. Studies conducted recently on a system composed by an Anderson impurity on a 2DEG with Rashba spin-orbit have been shown that it can enhance or…

Strongly Correlated Electrons · Physics 2016-09-14 G. R. de Sousa , Joelson F. Silva , E. Vernek

We consider spin-orbit coupling effects in Na$_4$Ir$_3$O$_8$, a material in which Ir$^{4+}$ spins form an hyper-kagom\'{e} lattice, a three-dimensional network of corner-sharing triangles. We argue that both low temperature thermodynamic…

Strongly Correlated Electrons · Physics 2008-10-03 Gang Chen , Leon Balents

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'