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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

We report magnetocaloric and magnetic-torque evidence that in Cs$_{2}$CuBr$_{4}$ -- a geometrically frustrated Heisenberg $S=1/2$ triangular-lattice antiferromagnet -- quantum fluctuations stabilize a series of spin states at simple…

Strongly Correlated Electrons · Physics 2015-05-13 N. A. Fortune , S. T. Hannahs , Y. Yoshida , T. E. Sherline , T. Ono , H. Tanaka , Y. Takano

A new formulation is presented to treat thermal and quantum fluctuations around the kaon condensate on the basis of chiral symmetry; separating the zero-mode from the beginning and using the path-integral method, we can formulate the…

Nuclear Theory · Physics 2009-10-31 Toshitaka Tatsumi , Masatomi Yasuhira

Quantum fluctuations in frustrated systems can lead to the emergence of complex many-body phases. However, the role of quantum fluctuations in frustration-free lattices is less explored and could provide an interesting avenue for exploring…

Quantum Gases · Physics 2024-05-01 Zeki Zeybek , Peter Schmelcher , Rick Mukherjee

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

We report torque magnetization measurements in regions of the mixed state phase diagram (${\bf B}\sim\mu_o{\bf H}_{c2}$ and T$_c$/$10^3$) of the organic superconductor $\kappa-$(ET)$_2$Cu(NCS)$_2$ where quantum fluctuations are expected to…

Superconductivity · Physics 2009-10-31 M. M. Mola , S. Hill , J. S. Brooks , J. S. Qualls

The low temperature properties of the Kagome-type system Co3V2O8 have been studied by powder neutron diffraction both in zero field and in applied magnetic field of up to 8 T. Below 6 K, the zero-field ground state is ferromagnetic with the…

Materials Science · Physics 2007-05-23 N. R. Wilson , O. A. Petrenko , L. C. Chapon

We investigate the impact of order parameter fluctuations on magnetoelectric effects in metallic systems using classical Monte Carlo simulations. We focus on a a chiral quadrupole order in a distorted kagome lattice in a model incorporating…

Strongly Correlated Electrons · Physics 2025-03-03 Genta Furuya , Kazumasa Hattori

Quantum effect is expected to dictate the behaviour of physical systems at low temperature. For quantum magnets with geometrical frustration, quantum fluctuation usually lifts the macroscopic classical degeneracy, and exotic quantum states…

Strongly Correlated Electrons · Physics 2019-05-08 Kai-Hsin Wu , Yi-Ping Huang , Ying-Jer Kao

Frustrated magnets are one class of fascinating materials that host many intriguing phases such as spin ice, spin liquid and complex long-range magnetic orderings at low temperatures. In this work we use first-principles calculations to…

Materials Science · Physics 2019-08-07 Yue-Wen Fang , Ruihan Yang , Hanghui Chen

Classical Heisenberg antiferromagnets on two-dimensional kagome and three-dimensional hyperkagome lattices are investigated by Monte Carlo simulations. For both models the symmetry-breaking states at low temperatures are described by…

Strongly Correlated Electrons · Physics 2008-09-30 M. E. Zhitomirsky

In this paper we study the frustrated J1-J2 quantum Heisenberg model on the square lattice for J2 > 2J1, in a magnetic field. In this regime the classical system is known to have a degenerate manifold of lowest energy configurations, where…

Strongly Correlated Electrons · Physics 2015-07-09 C. A. Lamas , D. C. Cabra , P. Pujol , G. L. Rossini

We present results of ferromagnetic resonance (FMR) experiments and micromagnetic simulations for a distorted, 2D Kagome artificial spin ice. The distorted structure is created by continuously modulating the 2D primitive lattice translation…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Ali Frotanpour , Justin Woods , Barry Farmer , Amrit P. Kaphle , Lance E. De Long , Loris Giovannini , Federico Montoncello

We present a quantum theory of frustrated diamond lattice antiferromagnets. Considering quantum fluctuations as the predominant mechanism relieving spin frustration, we find a rich phase diagram comprising of six phases with coplanar spiral…

Strongly Correlated Electrons · Physics 2009-11-13 Jean-Sebastien Bernier , Michael J. Lawler , Yong Baek Kim

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

Effects of geometrical frustration and quantum fluctuation are theoretically investigated for the proton ordering in a quasi-two-dimensional hydrogen-bonded system, squaric acid crystal. We elucidate the phase diagram for an effective…

Strongly Correlated Electrons · Physics 2015-03-19 Hiroaki Ishizuka , Yukitoshi Motome , Nobuo Furukawa , Sei Suzuki

Metal-to-insulator transitions (MITs) are a dramatic manifestation of strong electron correlations in solids1. The insulating phase can often be suppressed by quantum tuning, i.e. varying a nonthermal parameter such as chemical composi-…

The kagome-lattice Hubbard model attracts widespread interest due to its flat-band and Van Hove singularity features, which can give rise to unconventional magnetism. We employ determinant quantum Monte Carlo simulations to systematically…

Strongly Correlated Electrons · Physics 2026-03-03 Jingyao Wang , Zixuan Jia , Zenghui Fan , Qingzhuo Duan , Tianxing Ma

In this work a site diluted antiferromagntic Ising model in the FCC lattice is studied by Monte Carlo simulation. At low temperatures, we find that as the external field is increased the transition from the antiferromagnetic phase to the…

Statistical Mechanics · Physics 2007-05-23 A. J. F. de Souza , F. G. B. Moreira , J. R. L. de Almeida

This paper is concerned with physics of the low energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is…

Strongly Correlated Electrons · Physics 2010-07-16 P. Nikolic , T. Senthil