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After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the…

Statistical Mechanics · Physics 2020-01-01 H. T. Diep , H. Giacomini

Quantum antiferromagnets have proven to be some of the cleanest realizations available for theoretical, numerical, and experimental studies of quantum fluctuation effects. At finite temperatures, however, the additional effects of thermal…

Strongly Correlated Electrons · Physics 2016-04-28 A. Honecker , S. Wessel , R. Kerkdyk , T. Pruschke , F. Mila , B. Normand

We discuss theoretically a frustrated Heisenberg antiferromagnet in magnetic field close to the saturation one. It is demonstrated that a small biaxial anisotropy and/or the magnetic dipolar interaction produce a delicate balance between…

Strongly Correlated Electrons · Physics 2021-02-24 O. I. Utesov , A. V. Syromyatnikov

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

Strongly Correlated Electrons · Physics 2011-01-10 Kingshuk Majumdar

We investigate the impact of spin anisotropic interactions, promoted by spin-orbit coupling, on the magnetic phase diagram of the iron-based superconductors. Three distinct magnetic phases with Bragg peaks at $(\pi,0)$ and $(0,\pi)$ are…

Superconductivity · Physics 2018-08-01 Morten H. Christensen , Peter P. Orth , Brian M. Andersen , Rafael M. Fernandes

Single crystals of the frustrated S=1/2 ferro-antiferromagnetic proximate square lattice material SrZnZnVO(PO$_4$)$_2$ are studied in magnetometric, calorimetric, neutron diffraction and inelastic neutron scattering experiments. The…

Strongly Correlated Electrons · Physics 2022-01-12 Florian Landolt , Zewu Yan , Severian Gvasaliya , Ketty Beauvois , Eric Ressouche , Jianhui Xu , Andrey Zheludev

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

Critical properties of a geometrically frustrated generalized $XY$ model with antiferromagnetic (AFM) and third-order antinematic (AN3) couplings on a triangular lattice are studied by Monte Carlo simulation. It is found that such a…

Statistical Mechanics · Physics 2020-09-16 M. Lach , M. Žukovič

The phase diagrams of the frustrated classical spin model with Dzyaloshinskii-Moriya (DM) interaction on the Shastry-Sutherland (S-S) lattice are studied by means of Monte Carlo simulation. For ferromagnetic next-nearest-neighboring (J2)…

Applied Physics · Physics 2020-01-22 J. H. Yu , W. H. Li , Z. P. Huang , J. J. Liang , J. Chen , D. Y. Chen , Z. P. Hou , M. H. Qin

Magnetic frustration, the competition among exchange interactions, often leads to novel magnetic ground states with unique physical properties which can hinge on details of interactions that are otherwise difficult to observe. Such states…

We present a method to analyze magnetic properties of frustrated Ising spin models on specific hierarchical lattices with random dilution. Disorder is induced by dilution and geometrical frustration rather than randomness in the internal…

Disordered Systems and Neural Networks · Physics 2013-08-13 Jean-Yves Fortin

Whereas magnetic frustration is typically associated with local-moment magnets in special geometric arrangements, here we show that SrCo$_{2}$As$_{2}$ is a candidate for frustrated itinerant magnetism. Using inelastic neutron scattering…

We study low-temperature magnetization processes in a stacked triangular Ising antiferromagnet by Monte Carlo simulations. In increasing and decreasing magnetic fields we observe multiple steps and hysteresis corresponding to formation of…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , L. Mižišin , A. Bobák

We investigate the ground-state and finite-temperature properties of the $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice in the presence of an external magnetic field. We focus on the highly frustrated regime around $J_2…

Strongly Correlated Electrons · Physics 2026-02-18 Andreas Honecker , M. E. Zhitomirsky , Alexander Wietek , Johannes Richter

The frustrated q-state Potts model is solved exactly on a hierarchical lattice, yielding chaos under rescaling, namely the signature of a spin-glass phase, as previously seen for the Ising (q=2) model. However, the ground-state entropy…

Statistical Mechanics · Physics 2021-06-08 Alpar Turkoglu , A. Nihat Berker

An intriguingly complex phase diagram of Na-doped SrFe2As2 is uncovered using high-resolution thermal-expansion, magnetization and heat-capacity measurements. The detailed temperature dependence of the orthorhombic distortion and the…

Superconductivity · Physics 2019-10-01 L. Wang , M. He , D. D. Scherer , F. Hardy , P. Schweiss , T. Wolf , M. Merz , B. M. Andersen , C. Meingast

Multipolar magnetism is an emerging field of quantum materials research. The building blocks of multipolar phenomena are magnetic ions with a non-Kramers doublet, where the orbital and spin degrees of freedom are inextricably intertwined,…

Strongly Correlated Electrons · Physics 2020-07-08 Adarsh S. Patri , Masashi Hosoi , SungBin Lee , Yong Baek Kim

Geometrical frustration and the enhancement of strong quantum fluctuations in two-dimensional triangular antiferromagnets can lead to various intriguing phenomena. Here, we studied the spin-1/2 triangular lattice antiferromagnet…

The Heisenberg antiferromagnet on a two-dimensional triangular lattice is a paradigmatic problem in frustrated magnetism. Even in the classical limit, its properties are far from simple. The "120 degree" ground state favoured by the…

Strongly Correlated Electrons · Physics 2011-12-19 Luis Seabra , Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

A mixed Heisenberg spin chain with frustrated side chains is investigated by numerical and perturbational calculations. A frustration-induced quantum partially polarized ferrimagnetic phase and a nonmagnetic spin quadrupolar phase are found…

Strongly Correlated Electrons · Physics 2008-08-12 Kazuo Hida , Ken'ichi Takano