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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

Previous investigations have suggested that the simplest spin-orbital model on the simplest frustrated lattice can host a nematic quantum spin-orbital liquid state. Namely, the orbital degeneracy of the SU(4) Kugel-Khomskii (KK) model tends…

Strongly Correlated Electrons · Physics 2023-11-09 Chun Zhang , Hui-Ke Jin , Yi Zhou

The synergistic interplay between spin correlations, spin-orbit coupling, and competing exchange interactions provides a promising route to realize exotic quantum states with nontrivial excitations in rare-earth based frustrated magnets.…

Strongly Correlated Electrons · Physics 2026-05-25 J. Khatua , D. Tay , T. Shiroka , M. Pregelj , K. Kargeti , S. K. Panda , G. B. G. Stenning , P. Manuel , M. D. Le , D. T. Adroja , P. Khuntia

Mutual interactions in many-body systems bring about a variety of exotic phases, among which liquid-like states failing to order due to frustration are of keen interest. Recently, an organic system with an anisotropic triangular lattice of…

We study the Kondo Lattice and Hubbard models on a triangular lattice for band filling factor 3/4. We show that a simple non-coplanar chiral spin ordering (scalar spin chirality) is naturally realized in both models due to perfect nesting…

Mesoscale and Nanoscale Physics · Physics 2008-10-10 Ivar Martin , C. D. Batista

We describe here a quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry. The simulator consists of a structured lateral gate confining two dimensional electrons in a quantum well into artificial minima…

Strongly Correlated Electrons · Physics 2022-05-18 Yasser Saleem , Amintor Dusko , Moritz Cygorek , Marek Korkusinski , Pawel Hawrylak

We study the spin-1/2 Kitaev honeycomb gapless spin liquid in the presence of Stone-Wales-type local lattice defects with odd-sided plaquettes. While the clean Kitaev model has no finite-temperature phase transitions, we find that…

Strongly Correlated Electrons · Physics 2026-05-05 Arnab Seth , Fay Borhani , Itamar Kimchi

Quantum spin liquids are materials that feature quantum entangled spin correlations and avoid magnetic long-range order at T = 0 K. Particularly interesting are two-dimensional honeycomb spin lattices where a plethora of exotic quantum spin…

Strongly Correlated Electrons · Physics 2020-11-20 C. Wessler , B. Roessli , K. W. Krämer , B. Delley , O. Waldmann , L. Keller , D. Cheptiakov , H. B. Braun , M. Kenzelmann

We study the two-dimensional Kane-Mele-Hubbard model at half filling by means of quantum Monte Carlo simulations. We present a refined phase boundary for the quantum spin liquid. The topological insulator at finite Hubbard interaction…

Strongly Correlated Electrons · Physics 2012-03-30 M. Hohenadler , Z. Y. Meng , T. C. Lang , S. Wessel , A. Muramatsu , F. F. Assaad

We investigate the quantum phase transitions in the half-filled Hubbard model on the triangular lattice by means of the path-integral renormalization group (PIRG) method with a new iteration scheme proposed recently. It is found that as the…

Strongly Correlated Electrons · Physics 2008-11-12 Takuya Yoshioka , Akihisa Koga , Norio Kawakami

Motivated by recent experiments on Ba3NiSb2O9, we investigate possible quantum spin liquid ground states for spin S=1 Heisenberg models on the triangular lattice. We use Variational Monte Carlo techniques to calculate the energies of…

Strongly Correlated Electrons · Physics 2012-12-27 Samuel Bieri , Maksym Serbyn , T. Senthil , Patrick A. Lee

The existance of a spin disordered ground state for the frustrated Quantum Heisenberg Antiferromagnet on a square lattice is reconsidered. It is argued that there is a unique action which is continuous through the whole phase diagram,…

Condensed Matter · Physics 2009-10-22 Jaime Ferrer

We study the half filled extended Hubbard model on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size 8-20. We show that the model exhibits metallic, Mott insulating, and charge ordered phases,…

Strongly Correlated Electrons · Physics 2017-04-28 Hanna Terletska , Tianran Chen , Emanuel Gull

The electronic properties of quarter-filled organic materials showing spin-Peierls transition are investigated theoretically. By studying the one-dimensional extended Peierls-Hubbard model analytically as well as numerically, we find that…

Strongly Correlated Electrons · Physics 2007-05-23 Makoto Kuwabara , Hitoshi Seo , Masao Ogata

In a recent Letter, Hassan and S\'en\'echal [1] discussed the existence of a spin-liquid phase of the half-filled Hubbard model on the honeycomb lattice. Using schemes, such as the variational cluster approximation (VCA) and the cluster…

Strongly Correlated Electrons · Physics 2015-06-15 A. Liebsch

The three-dimensional $S = {\frac{1}{2}}$ system Y$_{3}$Cu$_{2}$Sb$_{3}$O$_{14}$ consists of two inequivalent Cu$^{2+}$ sites, each forming an edge shared triangular lattice. Our magnetic susceptibility $\chi(T)$, specific heat $C_p(T)$,…

We study the recently reported characteristic gapless charge ordered state in a spinless fermion system on a triangular lattice under strong inter-site Coulomb interactions. In this state the charges are spontaneously divided into solid and…

Strongly Correlated Electrons · Physics 2015-06-25 Chisa Hotta , Nobuo Furukawa

We introduce a new classical spin liquid on the pyrochlore lattice by extending spin ice with further neighbour interactions. We find that this disorder free spin model exhibits a form of dynamical heterogeneity with extremely slow…

Statistical Mechanics · Physics 2016-08-01 Jeffrey G. Rau , Michel J. P. Gingras

We investigate the spin-$\frac{1}{2}$ nearest-neighber Heisenberg model with the four-site ring-exchange $J_4$ and chiral interaction $J_\chi$ on the triangular lattice by using the variational Monte Carlo method. The $J_4$ term induces the…

Strongly Correlated Electrons · Physics 2024-09-16 Li-Wei He , Jian-Xin Li

Quantum spin liquids (QSLs) are long-range entangled phases of frustrated magnets exhibiting fractionalized spin excitations. In two dimensions, there is limited analytical understanding of their excitation spectra beyond parton mean-field…

Strongly Correlated Electrons · Physics 2025-08-01 Josef Willsher , Johannes Knolle