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Research efforts on the low temperature magnetic order and electronic properties of U$_3$O$_8$ have been inconclusive so far. Reinterpreting neutron scattering results, we use group representation theory to show that the ground state…

Strongly Correlated Electrons · Physics 2023-01-24 Rolando Saniz , Gianguido Baldinozzi , Ine Arts , Gregory Leinders , Dirk Lamoen , Marc Verwerft

We study the repulsive Hubbard model on an anisotropic honeycomb lattice within a mean-field and a slave-rotor treatment. In addition to the known semi-metallic and band-insulating phases, obtained for very weak interactions, and the…

Quantum Gases · Physics 2011-08-09 Guangquan Wang , Mark O. Goerbig , Christian Miniatura , Benoit Gremaud

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

Strongly Correlated Electrons · Physics 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

Motivated by the recent discovery of a spin liquid phase for the Hubbard model on the honeycomb lattice at half-filling, we apply both perturbative and non-perturbative techniques to derive effective spin Hamiltonians describing the…

Strongly Correlated Electrons · Physics 2012-12-05 H-Y. Yang , A. F. Albuquerque , S. Capponi , A. M. Läuchli , K. P. Schmidt

We have explored the hidden symmetries of a generic four-parameter nearest-neighbor spin model, allowed in honeycomb lattice compounds under trigonal compression. Our method utilizes a systematic algorithm to identify all dual…

Strongly Correlated Electrons · Physics 2015-07-14 Jiří Chaloupka , Giniyat Khaliullin

We uncover four exotic coupled spin-charge ground states in the strong coupling limit of the Kondo lattice model at various electronic fillings on a frustrated decorated honeycomb lattice, where each regular honeycomb sublattice point is…

Strongly Correlated Electrons · Physics 2025-12-22 Satyabrata Jana , Sahinur Reja

There have been tremendous experimental and theoretical efforts toward discovery of quantum spin liquid phase in honeycomb-based-lattice materials with strong spin-orbit coupling. Here the bond-dependent Kitaev interaction between local…

Strongly Correlated Electrons · Physics 2016-12-23 Heung-Sik Kim , Yong Baek Kim , Hae-Young Kee

We report inelastic neutron scattering measurements on Na2IrO3, a candidate for the Kitaev spin model on the honeycomb lattice. We observe spin-wave excitations below 5 meV with a dispersion that can be accounted for by including…

Single crystals of a honeycomb lattice antiferromagnet, Tb$_2$Ir$_3$Ga$_9$ were synthesized, and the physical properties have been studied. From magnetometry, a long-range antiferromagnetic ordering at $\approx$12.5 K with highly…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Mojammel A. Khan , Qiang Zhang , Jin-Ke Bao , Randy S. Fishman , Antia S. Botana , Y. Choi , G. Fabbris , D. Haskel , John Singleton , John F. Mitchell

The Kitaev-Heisenberg model on the honeycomb lattice has been studied for the purpose of finding exotic states such as quantum spin liquid and topological orders. On the kagome lattice, in spite of a spin-liquid ground state in the…

Strongly Correlated Electrons · Physics 2018-10-31 Katsuhiro Morita , Masanori Kishimoto , Takami Tohyama

We discuss the magnetic phases of the Hubbard model for the honeycomb lattice both in two and three spatial dimensions. A ground state phase diagram is obtained depending on the interaction strength U and electronic density n. We find a…

Strongly Correlated Electrons · Physics 2016-08-31 N. M. R. Peres , M. A. N. Araujo , Daniel Bozi

We compute the momentum resolved dynamical spin structure factor $S(k,\omega)$ of the SU(4) Heisenberg model on the honeycomb lattice assuming the $\pi$-flux Dirac spin liquid ground state by two methods: (i) variationally using Gutzwiller…

Strongly Correlated Electrons · Physics 2024-03-26 Dániel Vörös , Karlo Penc

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

Short-range resonating-valence bond states in an orbitally degenerate magnet on a honeycomb lattice is studied. A quantum-dimer model is derived from the Hamiltonian which represents the superexchange interaction and the dynamical…

Strongly Correlated Electrons · Physics 2015-06-23 Joji Nasu , Sumio Ishihara

We investigate possible quantum ground states as well as the classical limit of a frustrated J1-J2 Heisenberg model on the three-dimensional (3D) hyperhoneycomb lattice. Our study is inspired by the recent discovery of beta-Li2IrO3, where…

Strongly Correlated Electrons · Physics 2014-11-05 SungBin Lee , Jae-Seung Jeong , Kyusung Hwang , Yong Baek Kim

Two-dimensional honeycomb antiferromagnet becomes an important class of materials as it can provide a route to Kitaev quantum spin liquid, characterized by massive quantum entanglement and fractional excitations. The signatures of its…

We use determinantal quantum Monte Carlo simulations and numerical linked-cluster expansions to study thermodynamic properties and short-range spin correlations of fermions in the honeycomb lattice. We find that, at half filling and finite…

Strongly Correlated Electrons · Physics 2012-11-15 Baoming Tang , Thereza Paiva , Ehsan Khatami , Marcos Rigol

The entanglement of electronic spin and orbital degrees of freedom is often the precursor to emergent behaviors in condensed matter systems. With considerable spin-orbit coupling strength, the cobalt atom on a honeycomb lattice offers a…

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 study an exactly solvable model with bond-directional quadrupolar and octupolar interactions between spin-orbital entangled $j_{\mathrm{eff}} = \frac{3}{2}$ moments on the honeycomb lattice. We show that this model features a multipolar…

Strongly Correlated Electrons · Physics 2023-10-17 Vanuildo S. de Carvalho , Hermann Freire , Rodrigo G. Pereira