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We show that a simplified two-band model describing toroidal magnetic order in two-dimensional crystal is entirely equivalent to the well-known Haldane model of a honeycomb lattice in periodic internal magnetic field with zero total flux…

Mesoscale and Nanoscale Physics · Physics 2010-10-28 V. I. Belyavsky , Yu. V. Kopaev

We study the quantum phase transition occurring in an infinite homogeneous system of spin 1/2 fermions in a non-relativistic context. As an example we consider neutrons interacting through a simple spin-spin Heisenberg force. The two…

Nuclear Theory · Physics 2009-11-10 A. Beraudo , A. De Pace , M. Martini , A. Molinari

We study quantum effects in a spin-3/2 antiferromagnet on the pyrochlore lattice in an external magnetic field, focusing on the vicinity of a plateau in the magnetization at half the saturation value, observed in CdCr$_2$O$_4$, and…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Ryuichi Shindou , Gregory A. Fiete , Leon Balents

A partial disorder on a layered triangular lattice is theoretically investigated from a viewpoint of toroidal ordering and magnetoelectric effects. We consider an extended periodic Anderson model including a site-dependent antisymmetric…

Strongly Correlated Electrons · Physics 2015-04-15 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

Magnetic properties of Hubbard model have been studied extensively. A theoretical description of these states, however, is not straight forward within conventional mean-field approach due to the electron correlation effects. Here we provide…

Strongly Correlated Electrons · Physics 2023-05-09 Jiasheng Qian , Zhiguang Liao , Rong Yu

The physics of spin-orbit entangled magnetic moments of $4d$ and $5d$ transition metal ions on a honeycomb lattice has been much explored in search for unconventional magnetic orders or quantum spin liquids expected for compass spin models,…

Strongly Correlated Electrons · Physics 2024-10-15 Ryutaro Okuma , Kylie MacFarquharson , Roger D. Johnson , David Voneshen , Pascal Manuel , Radu Coldea

A model of CuO$_2$ planes of cuprate perovskites, containing $d_{x^2-y^2}$ copper orbitals and symmetric combinations of oxygen $p_\sigma$ orbitals, is investigated using the strong coupling diagram technique. This approach allows one to…

Strongly Correlated Electrons · Physics 2020-09-01 Alexei Sherman

The interplay between spin and orbital degrees of freedom in the Mott-Hubbard insulator is studied by considering an orbitally degenerate superexchange model. We argue that orbital order and the orbital excitation gap in this model are…

Strongly Correlated Electrons · Physics 2009-10-31 G. Khaliullin , R. Kilian

We observe a spontaneous parity breaking bifurcation to a ferromagnetic state in a spatially trapped exciton-polariton condensate. At a critical bifurcation density under nonresonant excitation, the whole condensate spontaneously magnetizes…

Phase diagrams and spontaneous magnetization are rigorously calculated for a coupled spin-electron model on a doubly decorated honeycomb lattice, which accounts for a quantum-mechanical hopping of the mobile electrons on decorating sites,…

Statistical Mechanics · Physics 2018-09-14 Hana Čenčariková , Jozef Strečka

The interplay between spin and orbital degrees of freedom gives rise to a variety of emergent phases in correlated 4d and 5d transition-metal systems. Strong spin-orbit coupling (SOC) significantly alters Jahn-Teller (JT) physics, often…

Strongly Correlated Electrons · Physics 2025-05-28 A. S. Miñarro , G. Herranz

Weak ergodicity breaking in interacting quantum systems may occur due to the existence of a subspace dynamically decoupled from the rest of the Hilbert space. In two-orbital spinful lattice systems, we construct such subspaces that are in…

Strongly Correlated Electrons · Physics 2026-03-04 Kiryl Pakrouski , K. V. Samokhin

By using the tensor-network state algorithm, we study a spin-orbital model with SU(2)$\times$SU(2)$\times$U(1) symmetry on the triangular lattice. This model was proposed to describe some triangular $d^1$ materials and was argued to host a…

Strongly Correlated Electrons · Physics 2024-06-19 Yang Liu , Z. Y. Xie , Hong-Gang Luo , Jize Zhao

Using the formalism of pseudospin and isospin operators the Hamiltonian of an effective Kugel-Khomskii model with spin-orbit coupling is derived with an exact account of the $t_{2g}$ multiplet splitting by the crystal field. An analytical…

Strongly Correlated Electrons · Physics 2026-02-27 D. E. Chizhov , P. A. Igoshev , V. Yu. Irkhin

The combined effect of frustration and correlation in electrons is a matter of considerable interest of late. In this context a Falicov-Kimball model on a triangular lattice with two localized states, relevant for certain correlated…

Strongly Correlated Electrons · Physics 2015-05-19 Umesh K. Yadav , T. Maitra , Ishwar Singh , A. Taraphder

The weak-coupling renormalization group method is an asymptotically exact method to find superconducting instabilities of a lattice model of correlated electrons. Here we extend it to spin-orbit coupled lattice systems and study the…

Superconductivity · Physics 2020-12-02 Sebastian Wolf , Stephan Rachel

Orbital effects, despite their fundamental significance and potential to engender novel physical phenomena and enable new applications, have long been underexplored compared to their spin counterparts. Recently, surging interest in the…

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

In a large number of rare-earth and actinide systems, Kondo effect tends to suppress magnetic order by making the spin singlet between localized and conduction electron spins. In the presence of orbital degrees of freedom, however, there…

Strongly Correlated Electrons · Physics 2016-08-16 Yoshio Kuramoto

Magnetic properties in a charge ordered state are examined for the extended Hubbard model at half-filling. Magnetic excitations, magnetic susceptibilities and a nuclear spin relaxation rate are calculated with taking account of fluctuations…

Strongly Correlated Electrons · Physics 2009-11-07 H. Yoshioka
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