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We show how the general and basic asymmetry between two fundamental degrees of freedom present in strongly correlated oxides, spin and orbital, has very profound repercussions on the elementary spin and orbital excitations. Whereas the…

Strongly Correlated Electrons · Physics 2011-09-30 Krzysztof Wohlfeld , Maria Daghofer , Satoshi Nishimoto , Giniyat Khaliullin , Jeroen van den Brink

We present the main features of the spin-orbital superexchange which describes the magnetic and optical properties of Mott insulators with orbital degrees of freedom. In contrast to the SU(2) symmetry of spin superexchange, the orbital part…

Strongly Correlated Electrons · Physics 2022-01-25 Andrzej M. Oles

Magnetic structures of organic Mott insulators X[Pd(dmit)2]2 (X=Me4P, Me4Sb), of which electronic states are located near quantum spin liquid (X=EtMe3Sb), are demonstrated by 13C NMR. Antiferromagnetic spectra and nuclear relaxations show…

Strongly Correlated Electrons · Physics 2019-05-01 Shigeki Fujiyama , Reizo Kato

Introducing partial sum rules for the optical multiplet transitions, we outline a unified approach to magnetic and optical properties of strongly correlated transition metal oxides. On the example of LaVO$_3$ we demonstrate how the…

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

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

Electrons undergoing a Mott transition may shed their charge but persist as neutral excitations of a quantum spin liquid (QSL). We introduce concrete two-dimensional models exhibiting this exotic behavior as they transition from…

Strongly Correlated Electrons · Physics 2022-05-31 Eyal Leviatan , David F. Mross

Quantum fluctuations in low-dimensional systems and near quantum phase transitions have significant influences on material properties. Yet, it is difficult to experimentally gauge the strength and importance of quantum fluctuations. Here we…

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

The properties of Mott insulators with orbital degrees of freedom are described by spin-orbital superexchange models, which provide a theoretical framework for understanding their magnetic and optical properties. We introduce such a model…

Strongly Correlated Electrons · Physics 2015-05-19 Andrzej M. Oleś , Peter Horsch

Mott insulators are commonly pictured with electrons localized on lattice sites. Their low-energy degrees of freedom involve spins only. Here we observe emerging charge degrees of freedom in a molecule-based Mott insulator…

We show that the off-diagonal exchange anisotropy drives Mott insulators with strong spin-orbit coupling to a classical spin liquid regime, characterized by an infinite number of ground states and Ising variables living on closed or open…

Strongly Correlated Electrons · Physics 2017-04-07 Ioannis Rousochatzakis , N. B. Perkins

We study a spin-orbital model for 4$d^{1}$ or 5$d^{1}$ Mott insulators in ordered double perovskites with strong spin-orbit coupling. This model is conveniently written in terms of pseudospin and pseudo-orbital operators representing…

Strongly Correlated Electrons · Physics 2017-09-12 Willian Natori , Maria Daghofer , Rodrigo Pereira

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

A gas of strongly interacting spinless p-orbital fermionic atoms in 2D optical lattices is proposed and studied. Several interesting new features are found. In the Mott limit on a square lattice, the gas is found to be described effectively…

Strongly Correlated Electrons · Physics 2009-11-13 Erhai Zhao , W. Vincent Liu

The two-orbital degenerate Hubbard model with distinct hopping integrals is studied by combining dynamical mean-field theory with quantum Monte Carlo simulations. The role of orbital fluctuations for the nature of the Mott transition is…

Strongly Correlated Electrons · Physics 2009-11-11 Akihisa Koga , Norio Kawakami , T. M. Rice , Manfred Sigrist

CoO has an odd number of electrons in its unit cell, and therefore is expected to be metallic. Yet, CoO is strongly insulating owing to significant electronic correlations, thus classifying it as a Mott insulator. We investigate the…

We report discovery of a new iridate family K$_x$Ir$_y$O$_2$ with depleted triangular lattice planes made up of edge sharing IrO$_6$ octahedra separated by K planes. Such a material interpolates between the triangular and honeycomb lattices…

Strongly Correlated Electrons · Physics 2019-08-23 Kavita Mehlawat , Yogesh Singh

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 study the Mott transition from a metal to cluster Mott insulators in the 1/4- and 1/8-filled pyrochlore lattice systems. It is shown that such Mott transitions can arise due to charge localization in clusters or in tetrahedron units,…

Strongly Correlated Electrons · Physics 2014-11-11 Gang Chen , Hae-Young Kee , Yong Baek Kim

We study the manganese oxides from the viewpoint of the strongly correlated doped Mott insulator. The magnetic ordering and the charge transport are governed by the orbital degrees of freedom, and their dimensionality is controlled by the…

Strongly Correlated Electrons · Physics 2016-08-31 R. Maezono , S. Murakami , N. Nagaosa , S. Ishihara , M. Yamanaka , H. C. Lee
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