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The effect of geometrical frustration in a two-dimensional 1/4-filled strongly correlated electron system is studied theoretically, motivated by layered organic molecular crystals. An extended Hubbard model on the square lattice is…

Strongly Correlated Electrons · Physics 2007-05-23 Jaime Merino , Hitoshi Seo , Masao Ogata

We study the geometrical frustration of extended Hubbard model on diamond chain, where vertical lines correspond to the hopping and repulsive Coulomb interaction terms between sites, while the rest of them represent only the Coulomb…

Strongly Correlated Electrons · Physics 2012-12-17 Onofre Rojas , S. M. de Souza , N. S. Ananikian

Effects of geometrical frustration in low-dimensional charge ordering systems are theoretically studied, mainly focusing on dynamical properties. We treat extended Hubbard models at quarter-filling, where the frustration arises from…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Kenji Tsutui , Masao Ogata , Jaime Merino

Geometrical frustration describes situations where interactions are incompatible with the lattice geometry and stabilizes exotic phases such as spin liquids. Whether geometrical frustration of magnetic interactions in metals can induce…

Strongly Correlated Electrons · Physics 2015-04-28 Y. Tokiwa , C. Stingl , M. S. Kim , T. Takabatake , P. Gegenwart

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

The Hubbard model on the Kagom\'e lattice is investigated in a metallic phase at half-filling. By introducing anisotropic electron hopping on the lattice, we control geometrical frustration and clarify how the lattice geometry affects…

Strongly Correlated Electrons · Physics 2009-11-10 Yoshiki Imai , Norio Kawakami , Hirokazu Tsunetsugu

We experimentally investigate the charge (isospin) frustration induced by a geometrical symmetry in a triangular triple quantum dot. We observe the ground-state charge configurations of six-fold degeneracy, the manifestation of the…

Mesoscale and Nanoscale Physics · Physics 2014-02-27 M. Seo , H. K. Choi , S. -Y. Lee , N. Kim , Y. Chung , H. -S. Sim , V. Umansky , D. Mahalu

Quantum phase transitions have captured the interest of a large community in condensed-matter and atom physics research. The common feature of these very different material classes lies in the fact that the competition between low-energy…

Strongly Correlated Electrons · Physics 2014-02-19 V. Fritsch , N. Bagrets , G. Goll , W. Kittler , M. J. Wolf , K. Grube , C. -L. Huang , H. v. Löhneysen

We investigate the Hubbard model on two typical frustrated lattices in two dimensions, the kagome lattice and the anisotropic triangular lattice, by means of the cellular dynamical mean field theory. We show that the metallic phase is…

Strongly Correlated Electrons · Physics 2015-05-13 Takuma Ohashi , Tsutomu Momoi , Hirokazu Tsunetsugu , Norio Kawakami

The strong coupling phase diagram of the spinless fermions on the anisotropic triangular lattice at half-filling is presented. The geometry of inter-site Coulomb interactions rules the phase diagram. Unconventional charge ordered phases are…

Strongly Correlated Electrons · Physics 2015-06-25 Chisa Hotta , Nobuo Furukawa , Akihiko Nakagawa , Kenn Kubo

Geometric frustration can significantly increase the complexity and richness of many-body physics and, for instance, suppress antiferromagnetic order in quantum magnets. Here, we employ ultracold bosonic $^{39}$K atoms in a triangular…

We calculated the phase diagram of the Kondo-Heisenberg model on two-dimensional honeycomb lattice with both nearest-neighbor and next-nearest-neighbor antiferromagnetic spin exchanges, to investigate the interplay between RKKY and Kondo…

Strongly Correlated Electrons · Physics 2017-01-04 Huan Li , Hai-Feng Song , Yu Liu

We study the coupled-top model with three large spins located on a triangle. Depending on the coupling strength, there exist three phases: disordered paramagnetic phase, ferromagnetic phase, and frustrated antiferromagnetic phase, which can…

Strongly Correlated Electrons · Physics 2023-03-16 Liwei Duan , Yan-Zhi Wang , Qing-Hu Chen

We study a class of models with long-range repulsive interactions of the generalized Coulomb form $V(r)\sim 1/r^{\alpha}$. We show that decreasing the interaction exponent in the regime $\alpha < d$ dramatically depresses the charge…

Strongly Correlated Electrons · Physics 2012-04-09 Y. Pramudya , H. Terletska , S. Pankov , E. Manousakis , V. Dobrosavljević

Traditional frustration arises from the conflict between the spin alignments due to the geometry or the nature of the interactions. Here, we demonstrate a novel form of frustration, dubbed ``emergent frustration'', which is induced by the…

Strongly Correlated Electrons · Physics 2025-04-21 Zehui Deng , Lu Liu , Wenan Guo , Hai-Qing Lin

Mott transition and ferrimagnetism are studied in the Hubbard model on the anisotropic kagom\'e lattice using the variational cluster approximation and the phase diagram at zero temperature and half-filling is analyzed. The ferrimagnetic…

Strongly Correlated Electrons · Physics 2015-03-17 A. Yamada , K. Seki , R. Eder , Y. Ohta

Charge dynamics in an interacting fermionic model on a geometrically frustrated lattice are examined. We analyze a spinless fermion model on a paired triangular lattice, an electronic model for layered iron oxides, in zero and finite…

Strongly Correlated Electrons · Physics 2015-06-23 Makoto Naka , Sumio Ishihara

We investigate the effect of geometrical frustration on the $H$--$T$ phase diagrams of the classical Heisenberg antiferromagnets on triangular and kagome lattices. The phase diagrams for the two models are obtained from large scale Monte…

Strongly Correlated Electrons · Physics 2011-04-08 M. V. Gvozdikova , P. -E. Melchy , M. E. Zhitomirsky

The observation of a separation between the antiferromagnetic phase boundary and the small-large Fermi surface transition in recent experiments has led to the proposal that frustration is an important additional tuning parameter in the…

Strongly Correlated Electrons · Physics 2010-10-04 Piers Coleman , Andriy H. Nevidomskyy

We derive the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in two-dimensional systems with negative short-range electronic compressibility. We consider the system subject either to the truly three-dimensional…

Strongly Correlated Electrons · Physics 2009-05-13 C. Ortix , J. Lorenzana , C. Di Castro
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