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Frustrated magnetic interactions in a quasi-two-dimensional [111] slab of pyrochlore lattice were studied. For uniform nearest neighbor (NN) interactions, we show that the complex magnetic problem can be mapped onto a model with two…

Strongly Correlated Electrons · Physics 2012-06-05 K. Iida , S. -H. Lee , S. -W. Cheong

Geometric frustration arises when lattice structure prevents simultaneous minimization of local interactions. It leads to highly degenerate ground states and, subsequently, complex phases of matter such as water ice, spin ice and frustrated…

Soft Condensed Matter · Physics 2008-12-18 Yilong Han , Yair Shokef , Ahmed M. Alsayed , Peter Yunker , Tom C. Lubensky , Arjun G. Yodh

The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and…

Statistical Mechanics · Physics 2022-06-22 A. V. Zarubin , F. A. Kassan-Ogly , A. I. Proshkin

We study the classical Heisenberg model on a recently identified three dimensional corner-shared equilateral triangular lattice, a magnetic sublattice to a large class of systems with the symmetry group P2$_1$3. Since the degree of…

Strongly Correlated Electrons · Physics 2009-11-11 John M. Hopkinson , Hae-Young Kee

We discuss new high-field magnetization data recently obtained by Tsirlin et al. for layered vanadium phosphates in the framework of the square-lattice model. Our predictions for the saturation fields compare exceptionally well to the…

Strongly Correlated Electrons · Physics 2010-05-07 Burkhard Schmidt , Mohammad Siahatgar , Peter Thalmeier , Alexander A. Tsirlin

Ground state phases of a generalized XY model with magnetic and generalized nematic couplings on a non-bipartite triangular lattice are investigated in the exchange interactions parameter space. We demonstrate that the model displays a…

Statistical Mechanics · Physics 2016-08-03 Milan Žukovič

We consider the iron pnictides in terms of a proximity to a Mott insulator. The superexchange interactions contain competing nearest-neighbor and next-nearest-neighbor components. In the undoped parent compound, these frustrated…

Superconductivity · Physics 2009-05-24 Qimiao Si , Elihu Abrahams

In layered LiNixMnyCozO2 cathode material for lithium-ion batteries, the spins of transition metal (TM) ions construct a two-dimensional triangular networks, which can be considered as a simple case of geometrical frustration. By performing…

We use the results of first-principles electronic structure calculations and a strong coupling perturbation approach, together with general theoretical arguments, to illustrate the differences in super-exchange interactions between the…

Strongly Correlated Electrons · Physics 2009-11-12 E. Manousakis , J. Ren , S. Meng , E. Kaxiras

Geometric frustration is a phenomenon in a lattice system where not all interactions can be satisfied, the simplest example being antiferromagnetically coupled spins on a triangular lattice. Frustrated systems are characterized by their…

Inelastic neutron scattering study has been performed in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12(NO3) at ambient and high magnetic fields. Relatively broad and monotonically dispersive magnetic excitations were observed at…

Strongly Correlated Electrons · Physics 2020-01-08 M. Matsuda , S. E. Dissanayake , D. L. Abernathy , Y. Qiu , J. R. D. Copley , N. Kumada , M. Azuma

Crystal structure and magnetic properties of the layered vanadium phosphate PbZnVO(PO4)2 are studied using x-ray powder diffraction, magnetization and specific heat measurements, as well as band structure calculations. The compound…

Strongly Correlated Electrons · Physics 2010-10-28 Alexander A. Tsirlin , Ramesh Nath , Artem M. Abakumov , Roman V. Shpanchenko , Christoph Geibel , Helge Rosner

Poly(indenoindenes) are {\pi}-conjugated ladder carbon polymers with alternating hexagons and pentagons hosting one unpaired electron for each five-membered ring in the open-shell limit. Here we study the main magnetic interactions that are…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Ricardo Ortiz , Geza Giedke , Thomas Frederiksen

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

Motivated by recent experiments on BaCuSi2O6, we investigate magnetic excitations and quantum phase transitions of layered dimer magnets with inter-layer frustration. We consider two scenarios, (A) a lattice with one dimer per unit cell and…

Strongly Correlated Electrons · Physics 2007-12-13 Oliver Rösch , Matthias Vojta

We report on the magnetic properties of the layered perovskite PbVO(3). The results of magnetic susceptibility and specific heat measurements as well as band structure calculations consistently suggest that the S=1/2 square lattice of…

In the triangular layered magnet PdCrO2 the intralayer magnetic interactions are strong, however the lattice structure frustrates interlayer interactions. In spite of this, long-range, 120$^\circ$ antiferromagnetic order condenses at $T_N =…

In this paper, the frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice in an external magnetic field are investigated, taking into account the exchange interactions of atomic spins at the sites of…

Statistical Mechanics · Physics 2023-03-22 A. V. Zarubin , F. A. Kassan-Ogly

So far the physics of moir\'e graphene bilayers at large, incommensurate rotation angles has been considered uninteresting. It has been held that the interlayer coupling in such structures is weak and the system can be thought of as a pair…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Hridis K. Pal , Stephen Spitz , Markus Kindermann

Magnetic frustration, the competition among exchange interactions, often leads to novel magnetic ground states with unique physical properties which can hinge on details of interactions that are otherwise difficult to observe. Such states…

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