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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

The quantum ferromagnetic transition at zero temperature in disordered itinerant electron systems is considered. Nonmagnetic quenched disorder leads to diffusive electron dynamics that induces an effective long-range interaction between the…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

Effects of disorder are examined in itinerant systems close to quantum critical points. We argue that spin fluctuations associated with the long-range part of the RKKY interactions generically induce non-Ohmic dissipation due to rare…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Dobrosavljevic , E. Miranda

The features of the response of frustrated states to the external field are considered on the example of a diluted Ising chain. In the ferromagnetic case, partial ordering occurs, which leads to a decrease in entropy. In the…

Statistical Mechanics · Physics 2024-11-12 Yury Panov

Geometrical frustration in correlated systems can give rise to a plethora of novel ordered states and intriguing phases. Here, we analyze theoretically vertex-sharing frustrated Kagome lattice of Josephson junctions and identify various…

Quantum Physics · Physics 2023-11-13 Oliver Neyenhuys , Mikhail V. Fistul , Ilya M. Eremin

We investigate a detail of a dodecamer cluster ordering in a double-exchange spin ice model on a kagom\'e lattice. In frustrated systems, ordinary spin orderings are suppressed and macroscopic degeneracy remains down to low temperatures. In…

Strongly Correlated Electrons · Physics 2009-11-11 Yoshihiro Shimomura , Shin Miyahara , Nobuo Furukawa

In frustrated magnetic systems with a subextensive number of classical ground states, quantum zero-point fluctuations can select a unique long-range ordered state, a celebrated phenomenon referred to as \emph{order by quantum disorder}…

Strongly Correlated Electrons · Physics 2026-04-13 Subhankar Khatua , Griffin C. Howson , Michel J. P. Gingras , Jeffrey G. Rau

We study critical and magnetic properties of a bilayer Ising system consisting of two triangular planes A and B, with the antiferromagnetic (AF) coupling $J_{\rm A}$ and the ferromagnetic (FM) one $J_{\rm B}$ for the respective layers,…

Statistical Mechanics · Physics 2017-09-07 Milan Žukovič , Yusuke Tomita , Y. Kamiya

We examine theoretically a possibility of ferroelectricity caused by electronic charge order without inversion symmetry, motivated by layered iron oxides. Quantum electronic models in a paired-triangular lattice are analyzed by utilizing…

Strongly Correlated Electrons · Physics 2015-05-13 Tsutomu Watanabe , Sumio Ishihara

Motivated by theoretical and experimental studies reported by Yamaguchi et al. (Phys. Rev. B 98, 094402 (2018)), we performed a cluster mean-field analysis of an anisotropic Heisenberg model with six competing exchange interactions. We…

Strongly Correlated Electrons · Physics 2025-07-04 L. M. Ramos , F. M. Zimmer , M. Schmidt

In itinerant magnetic systems with disorder, the quantum Griffiths phase at T=0 is unstable to formation of a cluster glass (CG) of frozen droplet degrees of freedom. In the absence of the fluctuations associated with these degrees of…

Disordered Systems and Neural Networks · Physics 2007-10-22 Matthew J. Case , Vlad Dobrosavljevic

We construct and analyze a two-dimensional frustrated quantum spin model with plaquette order, in which the low-energy dynamics is controlled by spin singlets. At a critical value of frustration the singlet spectrum becomes gapless,…

Strongly Correlated Electrons · Physics 2016-08-31 Valeri N. Kotov , Michael E. Zhitomirsky , Oleg P. Sushkov

The thermal order by disorder effect in magnetic field is studied for a classical Heisenberg antiferromagnet on the kagome lattice. Using analytical arguments we predict a unique H-T phase diagram for this strongly frustrated magnet: states…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky

Competing interactions in frustrated magnets can give rise to highly degenerate ground states from which correlated liquid-like states of matter often emerge. The scaling of this degeneracy influences the ultimate ground state, with…

Strain applied to a condensed-matter system can be used to engineer its excitation spectrum via artificial gauge fields, or it may tune the system through transitions between different phases. Here we demonstrate that strain tuning of the…

Strongly Correlated Electrons · Physics 2022-03-28 Mary Madelynn Nayga , Matthias Vojta

We investigate the emergence of quantum spin liquid phases in pyrochlore oxides with non-Kramers ions, in which structural randomness effectively acts as a transverse field, introducing quantum fluctuations on top of the spin ice manifold.…

Strongly Correlated Electrons · Physics 2026-01-09 Marcus V. Marinho , Eric C. Andrade

In random networks decorated with Ising spins, an increase of the density of frustrations reduces the transition temperature of the spin-glass ordering. This result is in contradiction to the Bethe theory. Here we investigate if this effect…

Disordered Systems and Neural Networks · Physics 2009-04-28 Anna Manka-Krason , Krzysztof Kulakowski

We study the frustration-induced enhancement of the incommensurate correlation for a bond-alternating quantum spin chain in a magnetic field, which is associated with a quasi-one-dimensional organic compound F5PNN. We investigate the…

Strongly Correlated Electrons · Physics 2009-11-10 Nobuya Maeshima , Kouichi Okunishi , Kiyomi Okamoto , Tôru Sakai

We develop a mean-field theory for random quantum spin systems using the spin coherent state path integral representation. After the model is reduced to the mean field one-body Hamiltonian, the integral is analyzed with the aid of several…

Disordered Systems and Neural Networks · Physics 2007-11-20 Kazutaka Takahashi

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