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We have studied the frustrated system YBaCo4O7 generally described as an alternating stacking of Kagome and triangular layers of magnetic ions on a trigonal lattice, by single crystal neutron diffraction experiments above the Neel ordering…

Materials Science · Physics 2011-06-30 P. Manuel , L. C. Chapon , P. G. Radaelli , H. Zheng , J. F. Mitchell

We present results of our Monte Carlo simulation of the Ising-O(3) model on the two-dimensional (2D) and quasi-2D lattices. This model is an effective classical model for the stacked square-lattice $J_1$-$J_2$ Heisenberg model where the…

Strongly Correlated Electrons · Physics 2011-12-22 Y. Kamiya , N. Kawashima , C. D. Batista

The low-energy magnetic configurations of artificial frustrated spin chains are investigated using magnetic force microscopy and micromagnetic simulations. Contrary to most studies on two-dimensional artificial spin systems where…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 V. -D. Nguyen , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

We present Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice in the presence of non-magnetic impurities. We show that the…

Strongly Correlated Electrons · Physics 2015-06-05 Cédric Weber , Frédéric Mila

The ability to tune electronic structure in twisted stacks of two-dimensional (2D) materials has motivated the exploration of similar moir\'e physics with twisted oxide membranes. Due to the intrinsic three-dimensional nature of bonding in…

We study the ground state properties of the geometrically frustrated Hubbard model on the anisotropic checkerboard lattice with nearest-neighbor hopping $t$ and next nearest-neighbor hopping $t'$. By using the path-integral renormalization…

Strongly Correlated Electrons · Physics 2009-11-13 Takuya Yoshioka , Akihisa Koga , Norio Kawakami

We present a comprehensive macroscopic thermodynamic study of the quasi-one-dimensional (1D) $s = \tfrac{1}{2}$ frustrated spin-chain system linarite. Susceptibility, magnetization, specific heat, magnetocaloric effect, magnetostriction,…

Two-dimensional confinement of lattices produces a variety of order and disorder phenomena. When the confining walls have atomic granularity, unique structural phases are expected, of relevance in nanotribology, porous materials or…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Simone Lisi , Valérie Guisset , Philippe David , Estelle Mazaleyrat , Ana Cristina Gómez Herrero , Johann Coraux

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

Based on the ladder dual-fermion approach, we present a comprehensive study of the phases of the isotropic Hubbard model on the triangular lattice. We find a rich phase diagram containing most of the phases that have already been…

Strongly Correlated Electrons · Physics 2014-05-07 Gang Li , Andrey E. Antipov , Alexey N. Rubtsov , Stefan Kirchner , Werner Hanke

Quantum systems with geometrical frustration remain an outstanding challenge for numerical simulations due to the infamous numerical sign problem. Here, we overcome this obstruction via complex path integration in a geometrically frustrated…

Strongly Correlated Electrons · Physics 2024-07-02 Elyasaf Y. Cohen , Andrei Alexandru , Snir Gazit

A systematic study of both classical and quantum geometric frustrated Ising models with a competing ordering mechanism is reported in this paper. The ordering comes in the classical case from a coupling of 2D layers and in the quantum model…

Statistical Mechanics · Physics 2007-05-23 Ying Jiang , Thorsten Emig

Moir\'e patterns in magnetic bilayers generate spatially modulated interlayer exchange interactions that can give rise to nonuniform magnetic textures. We study a minimal classical bilayer Ising model with a moir\'e-modulated interlayer…

Statistical Mechanics · Physics 2026-01-29 Ryan Flynn , Anders W. Sandvik

A non-technical introduction to the theory of magnets with strong geometric frustration is given, concentrating on magnets on corner-sharing (kagome, pyrochlore, SCGO and GGG) lattices. Their rich behaviour is traced back to a large…

Statistical Mechanics · Physics 2009-10-31 R. Moessner

As materials with suppressed ordering temperatures and enhanced ground state entropies, frustrated magnetic oxides are ideal candidates for cryogenic magnetocaloric refrigeration. While previous materials design has focused on tuning the…

We report the magnetic properties of the ZnLn2S4 (Ln = Er, Tm, Yb) olivines, in which the magnetic lanthanide ions are in a potentially frustrated geometry consisting of sawtooth chains of corner-sharing triangles. Fits to the high…

Strongly Correlated Electrons · Physics 2009-11-11 G. C. Lau , B. G. Ueland , R. S. Freitas , M. L. Dahlberg , P. Schiffer , R. J. Cava

We consider the simplest example of lattice frustration in the 1/4-filled band, a one-dimensional chain with next-nearest neighbor interactions. For this zigzag ladder with electron-electron as well as electron-phonon interactions we…

Strongly Correlated Electrons · Physics 2014-07-28 R. T. Clay , J. P. Song , S. Dayal , S. Mazumdar

The Cairo pentagonal lattice, consisting of an irregular pentagonal tiling of magnetic ions on two inequivalent sites (3- and 4-co-ordinated ones), represents a fascinating example for studying geometric frustration effects in…

Materials Science · Physics 2014-12-23 A. Chainani , K. Sheshadri

The magnetocaloric effect in a two-dimensional Ising model is considered for different ratios between parameters of inter-site repulsion of nonmagnetic impurities and exchange coupling. Classical Monte Carlo simulations on a square lattice…

Computational Physics · Physics 2021-09-22 A. V. Shadrin , V. A. Ulitko , Yu. D. Panov

We present a comprehensive study on the magnetization reversal in Fe/NiFe bilayer system by alternating the order of the magnetic layers. All the samples show growth-induced uniaxial magnetic anisotropy due to oblique angle deposition…