Frustrated lattices of Ising chains

Yu.B. Kudasov^a, b, A.S. Korshunov^a, b, V.N. Pavlov^a, b, D.A. Maslov^a, b
^aSarov State Institute of Physics and Technology, ul. Dukhova 6, Sarov, Nizhny Novgorod region, 607186, Russian Federation
^bAll-Russian Scientific Research Institute of Experimental Physics — Federal Nuclear Centre, prosp. Mira 37, Sarov, Nizhny Novgorod region, 607190, Russian Federation

The magnetic structure and magnetization dynamics of systems of plane frustrated Ising chain lattices are reviewed for three groups of compounds: Ca₃Co₂O₆, CsCoCl₃, and Sr₅Rh₄O₁₂. The available experimental data are analyzed and compared in detail. It is shown that a high-temperature magnetic phase on a triangle lattice is normally and universally a partially disordered antiferromagnetic (PDA) structure. The diversity of low-temperature phases results from weak interactions that lift the degeneracy of a 2D antiferromagnetic Ising model on the triangle lattice. Mean-field models, Monte Carlo simulation results on the static magnetization curve, and results on slow magnetization dynamics obtained with Glauber’s theory are discussed in detail.

PACS: 75.10.Hk, 75.25.-j, 75.50.Gg (all)
DOI: 10.3367/UFNe.0182.201212a.1249
URL: https://ufn.ru/en/articles/2012/12/a/
Web of Science

000315989900001
Scopus

2-s2.0-84875185323
ADS NASA

2012PhyU...55.1169K
Citation: Kudasov Yu B, Korshunov A S, Pavlov V N, Maslov D A "Frustrated lattices of Ising chains" Phys. Usp. 55 1169–1191 (2012)

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Received: 20th, December 2011, revised: 23rd, February 2012, accepted: 28th, April 2012

Оригинал: Кудасов Ю Б, Коршунов А С, Павлов В Н, Маслов Д А «Фрустрированные решётки изинговских цепочек» УФН 182 1249–1273 (2012); DOI: 10.3367/UFNr.0182.201212a.1249

References (144) Cited by (24) Similar articles (20) ↓

N.B. Ivanova, S.G. Ovchinnikov et al “Specific features of spin, charge, and orbital ordering in cobaltites” 52 789–810 (2009)
M.M. Markina, P.S. Berdonosov et al “Francisites as new geometrically frustrated quasi-two-dimensional magnets” 64 344–356 (2021)
K.I. Kugel’, D.I. Khomskii “The Jahn-Teller effect and magnetism: transition metal compounds” 25 231–256 (1982)
A.G. Syromyatnikov, S.V. Kolesnikov et al “Formation and properties of metallic atomic chains and wires” 64 671–701 (2021)
A.P. Pyatakov, A.K. Zvezdin “Magnetoelectric and multiferroic media” 55 557–581 (2012)
A.B. Borisov “Localized structures in magnetic systems without the center of inversion” 63 269–288 (2020)
V.S. Anishchenko, A.B. Neiman et al “Stochastic resonance: noise-enhanced order” 42 7–36 (1999)
I.K. Kamilov, Kh.K. Aliev “Ultrasonic studies of the critical dynamics of magnetically ordered crystals” 41 865–884 (1998)
S.G. Ovchinnikov, V.V. Rudenko “Anisotropic interactions in magnetic crystals with S-state ions. Nanostructures” 57 1180–1198 (2014)
V.D. Buchel’nikov, N.K. Dan’shin et al “Magnetoacoustics of rare-earth orthoferrites” 39 547–572 (1996)
K.P. Belov “Anomalies of the magnetoresistance of ferrites” 37 563–575 (1994)
O.Yu. Belyaeva, L.K. Zarembo, S.N. Karpachev “Magnetoacoustics of ferrites and magnetoacoustic resonance” 35 (2) 106–122 (1992)
A.M. Prokhorov, G.A. Smolenskii, A.N. Ageev “Optical phenomena in thin-film magnetic waveguides and their technical application” 27 339–362 (1984)
G.N. Sarkisov “Approximate equations of the theory of liquids in the statistical thermodynamics of classical liquid systems” 42 545–561 (1999)
Yu.A. Izyumov “Solitons in quasi-one-dimensional magnetic materials and their study by neutron scattering” 31 689–712 (1988)
M.D. Frank-Kamenetskii, V.V. Anshelevich, A.V. Lukashin “Polyelectrolyte model of DNA” 30 317–330 (1987)
A.A. Katanin, V.Yu. Irkhin “Magnetic order and spin fluctuations in low-dimensional insulating systems” 50 613–635 (2007)
D.K. Belashchenko “Computer simulation of liquid metals” 56 1176–1216 (2013)
I.B. Bersuker, B.J. Vekhter, I.Ya. Ogurtsov “Tunnel effects in polyatomic systems with electronic degeneracy and pseudodegeneracy” 18 569–587 (1975)
A.I. Gusev “Nonstoichiometry and superstructures” 57 839–876 (2014)

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