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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

Frustrated systems exhibit remarkable properties due to the high degeneracy of their ground states. Stabilised by competing interactions, a rich diversity of typically nanometre-sized phase structures appear in polymer and colloidal…

Magnetism in single-side hydrogenated (C$_2$H) and fluorinated (C$_2$F) graphene is analyzed in terms of the Heisenberg model with parameters determined from first principles. We predict a frustrated ground state for both systems, which…

Mesoscale and Nanoscale Physics · Physics 2014-06-03 A. N. Rudenko , F. J. Keil , M. I. Katsnelson , A. I. Lichtenstein

We have found an unusual competition of two frustration mechanisms in the 2D quantum antiferromagnet Cs$_2$CoBr$_4$. The key actors are the alternation of single-ion planar anisotropy direction of the individual magnetic Co$^{2+}$ ions, and…

Strongly Correlated Electrons · Physics 2020-12-18 K. Yu. Povarov , L. Facheris , S. Velja , D. Blosser , Z. Yan , S. Gvasaliya , A. Zheludev

We report an artificial geometrically frustrated magnet based on an array of lithographically fabricated single-domain ferromagnetic islands. The islands are arranged such that the dipole interactions create a two-dimensional analogue to…

Disordered Systems and Neural Networks · Physics 2009-11-11 R. F. Wang , C. Nisoli , R. S. Freitas , J. Li , W. McConville , B. J. Cooley , M. S. Lund , N. Samarth , C. Leighton , V. H. Crespi , P. Schiffer

Geometrically frustrated magnetic molecules have attracted a lot of interest in the field of molecular magnetism as well as frustrated Heisenberg antiferromagnets. In this article we demonstrate how an approximate diagonalization scheme can…

Strongly Correlated Electrons · Physics 2018-10-23 R. Schnalle , A. Laeuchli , J. Schnack

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

The one-dimensional cobaltate Ca3Co2O6 is an intriguing material having an unconventional magnetic structure, displaying quantum tunneling phenomena in its magnetization. Using a newly developed experimental method, s-core-level…

The magnetic properties of a trigonal prism unit of the spin-2 frustrated compound Ca3Co2O6 are studied by means of the density-matrix renormalization group method. A magnetization plateau at $ms/3$ ($ms$ is the saturation magnetization)…

Strongly Correlated Electrons · Physics 2010-04-27 Yang Zhao , Shou-Shu Gong , Wei Li , Gang Su

We study multilayer triangular lattice Ising antiferromagnets with interlayer interactions that are weak and frustrated in an abc stacking. By analysing a coupled height model description of these systems, we show that they exhibit a…

Statistical Mechanics · Physics 2016-01-05 F. J. Burnell , J. T. Chalker

Using numerical simulations we show that a variety of novel colloidal crystalline states and multi-step melting phenomena occur on square and triangular two-dimensional periodic substrates. At half-integer fillings different kinds of…

Soft Condensed Matter · Physics 2009-11-07 C. J. Olson Reichhardt , C. Reichhardt

Utilizing spin-polarized scanning tunneling microscopy and spectroscopy, we found coexistence of perpendicularly and in-plane magnetized cobalt nanoscale islands on the Ag(111) surface, and the relationship between the moire corrugation…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Keiji Doi , Emi Minamitani , Shunji Yamamoto , Ryuichi Arafune , Yasuo Yoshida , Satoshi Watanabe , Yukio Hasegawa

Frustrated magnetism plays a central role in the phenomenology of exotic quantum states. However, because the magnetic structures of frustrated systems are aperiodic, there has always been the problem that they cannot be determined using…

Materials Science · Physics 2013-05-30 Joseph A. M. Paddison , Andrew L. Goodwin

Spin-frustrated systems are one avenue for inducing macroscopic quantum states in materials. However, experimental realization of this goal has been difficult because of the lack of simple materials and, if available, the separation of the…

Strongly Correlated Electrons · Physics 2010-04-07 S. Chu , T. M. McQueen , R. Chisnell , D. E. Freedman , P. Müller , Y. S. Lee , D. G. Nocera

Some strongly frustrated magnets such as the "spin-ice" compounds fail to produce any magnetic order at finite temperatures even in the presence of magnetic field. Still they have very unusual low-temperature thermodynamic properties…

Materials Science · Physics 2010-05-18 P. N. Timonin

We investigate partially disordered antiferromagnetism in CoCl$_2$-2SC(NH$_2$)$_2$, in which a-b plane hexagonal layers are staggered along the c-axis, rather than stacked. A robust 1/3 state forms in applied magnetic fields which the spins…

We investigate the magnetocaloric properties of certain antiferromagnetic spin systems that have already been or very likely can be synthesized as magnetic molecules. It turns out that the special geometric frustration which is present in…

Strongly Correlated Electrons · Physics 2008-07-23 J. Schnack , R. Schmidt , J. Richter

Frustration in the presence of competing interactions is ubiquitous in the physical sciences and is a source of degeneracy and disorder, giving rise to new and interesting physical phenomena. Perhaps nowhere does it occur more simply than…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Cristiano Nisoli , Roderich Moessner , Peter Schiffer

We study a 3-dimensional Ising model in which the tendency to order due to short-range ferromagnetic interactions is frustrated by competing long-range (Coulombic) interactions. Complete ferromagnetic ordering is impossible for any nonzero…

Statistical Mechanics · Physics 2009-10-31 P. Viot , G. Tarjus

Ca3Co2O6 is a frustrated magnet consisting of a triangular arrangement of chains of Ising spins. It shows regular magnetization steps vs magnetic field every 1.2 T that are metastable with very slow dynamics. This has puzzled the community…

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