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We report magnetization and specific heat measurements in the 2D frustrated spin-1/2 Heisenberg antiferromagnet Cs2CuCl4 at temperatures down to 0.05 K and high magnetic fields up to 11.5 T applied along a, b and c-axes. The low-field…

Strongly Correlated Electrons · Physics 2013-06-25 Y. Tokiwa , T. Radu , R. Coldea , H. Wilhelm , Z. Tylczynski , F. Steglich

We study a spin system with two- and four-spin exchange interactions on the triangular lattice, which is a possible model for the nuclear magnetism of solid $^3$He layers. It is found that a novel spin structure with scalar chiral order…

Condensed Matter · Physics 2009-10-30 Tsutomu Momoi , Kenn Kubo , Koji Niki

The Heisenberg-Kitaev (HK) model on the triangular lattice is conceptually interesting for its interplay of geometric and exchange frustration. HK models are also thought to capture the essential physics of the spin-orbital entanglement in…

Strongly Correlated Electrons · Physics 2015-04-29 Michael Becker , Maria Hermanns , Bela Bauer , Markus Garst , Simon Trebst

We study noncoplanar magnetic ordering in frustrated itinerant magnets. For a family of Kondo square lattice models with classical local moments, we find that a double-$Q$ noncoplanar vortex crystal has lower energy than the single-$Q$…

Strongly Correlated Electrons · Physics 2016-09-26 Ryo Ozawa , Satoru Hayami , Kipton Barros , Gia-Wei Chern , Yukitoshi Motome , Cristian D. Batista

We construct a minimal model of interacting fermions establishing a ferromagnetic insulating phase. It is based on the Hubbard model on a trimerized triangular lattice in the regime of $t\gg |t^\prime|>0$ with $t$ and $t^\prime$ the intra-…

Strongly Correlated Electrons · Physics 2026-03-10 Jinyuan Ye , Yuchi He , Congjun Wu

Geometrical frustration and the enhancement of strong quantum fluctuations in two-dimensional triangular antiferromagnets can lead to various intriguing phenomena. Here, we studied the spin-1/2 triangular lattice antiferromagnet…

Using the strong coupling diagram technique, we find three phases of the half-filled isotropic Hubbard model on a triangular lattice at finite temperatures. The weak-interaction ($U\lesssim5t$) and strong-interaction ($U\gtrsim9t$) phases…

Strongly Correlated Electrons · Physics 2025-04-10 A. Sherman

Triangular Heisenberg antiferromagnets are prototypes of geometric frustration, even if for nearest-neighbor interactions quantum fluctuations are not usually strong enough to destroy magnetic ordering: stronger frustration is required to…

Strongly Correlated Electrons · Physics 2021-11-04 C. Wellm , W. Roscher , J. Zeisner , A. Alfonsov , R. Zhong , R. J. Cava , A. Savoyant , R. Hayn , J. van den Brink , B. Büchner , O. Janson , V. Kataev

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…

We study the phase diagram and critical behavior of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of…

Statistical Mechanics · Physics 2011-02-16 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

Triangular lattice quasi-two-dimensional Mott insulators based on BEDT-TTF molecule and its analogies present a possibility to produce exotic phases by coupling charge and spin degrees of freedom. In this work we discuss magnetic properties…

Octahedral antiferromagnets are distinguished by crystal lattices composed of octahedra of magnetic ions. In the fully frustrated case, the Heisenberg Hamiltonian can be represented as a sum of squares of total spins for each octahedral…

Strongly Correlated Electrons · Physics 2025-06-03 A. S. Gubina , T. Ziman , M. E. Zhitomirsky

We investigate the itinerant ferromagnetism using a diluted spin-fermion model, derived from a repulsive Hubbard model, where itinerant fermions are coupled antiferromagnetically to auxiliary fields in a three-dimensional simple cubic…

Strongly Correlated Electrons · Physics 2022-01-31 Sourav Chakraborty , Sandip Halder , Kalpataru Pradhan

Magnetoelectric and magnetoelastic phenomena correlated with a phase transition into noncollinear magnetic phase have been investigated for single crystals of CuFeO2 with a frustrated triangular lattice. CuFeO2 exhibits several…

Strongly Correlated Electrons · Physics 2009-11-11 T. Kimura , J. C. Lashley , A. P. Ramirez

Two-dimensional semiconductor moir\'e materials have emerged as a highly controllable platform to simulate and explore quantum condensed matter. Compared to real solids, electrons in semiconductor moir\'e materials are less strongly…

We study the interplay between magnetic frustration and itinerant electrons. For example, how does the coupling to mobile charges modify the properties of a spin liquid, and does the underlying frustration favor insulating or conducting…

Statistical Mechanics · Physics 2015-06-03 L. D. C. Jaubert , Swann Piatecki , Masudul Haque , R. Moessner

We overview physical effects of exchange frustration and quantum spin fluctuations in (quasi-) two dimensional (2D) quantum magnets ($S=1/2$) with square, rectangular and triangular structure. Our discussion is based on the $J_1$-$J_2$ type…

Strongly Correlated Electrons · Physics 2017-10-13 Burkhard Schmidt , Peter Thalmeier

Here we present a neutron scattering-based study of magnetic excitations and magnetic order in NaYbO$_2$ under the application of an external magnetic field. The crystal electric field-split $J = 7/2$ multiplet structure is determined,…

The frustration phenomenon in an exactly solvable spin-electron planar model constituted by identical bipyramidal plaquettes is discussed within the Toulouse's and dos Santos and Lyra's frustration concepts. It is shown that the ground…

Statistical Mechanics · Physics 2021-09-30 Lucia Gálisová

Magnetic, dielectric, and magnetoelectric properties in a spin-state transition system are examined, motivated by the recent discovery of a multiferroic behavior in a cobalt oxide. We construct an effective model Hamiltonian based on the…

Strongly Correlated Electrons · Physics 2018-06-13 Makoto Naka , Eriko Mizoguchi , Joji Nasu , Sumio Ishihara
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