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Magnetic properties of a mixed spin-1/2 and spin-1 Ising model on honeycomb lattice are exactly investigated within the framework of generalized star-triangle mapping transformation. The particular attention is focused on the effect of…

Statistical Mechanics · Physics 2009-11-10 Jozef Strecka , Michal Jascur

We study near-neighbour and dipolar Ising models on a lattice of corner-sharing octahedra. In an extended parameter range of both models, frustration between antiferromagnetism and a spin-ice-like three-in-three-out rule stabilises a…

Strongly Correlated Electrons · Physics 2023-01-12 Attila Szabó , Fabio Orlandi , Pascal Manuel

We consider the Ising model on the hexagonal lattice evolving according to Metropolis dynamics. We study its metastable behavior in the limit of vanishing temperature when the system is immersed in a small external magnetic field. We…

Probability · Mathematics 2022-03-02 Valentina Apollonio , Vanessa Jacquier , Francesca Romana Nardi , Alessio Troiani

The "spin ice" state found in the rare earth pyrochlore magnets Ho2Ti2O7 and Dy2Ti2O7 offers a beautiful realisation of classical magnetostatics, complete with magnetic monopole excitations. It has been suggested that in "quantum spin ice"…

Strongly Correlated Electrons · Physics 2015-06-04 Owen Benton , Olga Sikora , Nic Shannon

The mixed-spin Ising model on a decorated square lattice with two different decorating spins of the integer magnitudes S_B = 1 and S_C = 2 placed on horizontal and vertical bonds of the lattice, respectively, is examined within an exact…

Statistical Mechanics · Physics 2009-11-13 Lucia Canova , Jozef Strecka , Michal Jascur

Motivated by the experimental realization of synthetic spin-orbit coupling for ultracold atoms, we investigate the phase diagram of the Bose Hubbard model in a non-abelian gauge field in two dimensions. Using a strong coupling expansion in…

Quantum Gases · Physics 2012-10-09 William S. Cole , Shizhong Zhang , Arun Paramekanti , Nandini Trivedi

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

Strongly Correlated Electrons · Physics 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

Small amplitude dipolar oscillations are considered in artificial spin ice on a square lattice in two dimensions. The net magnetic moment of each elongated magnetic island in the spin ice is assumed to have Heisenberg-like dynamics. Each…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Thomas D. Lasnier , G. M. Wysin

Pyrochlore magnets of the form $R_2B_2$O$_7$, in which rare-earth ions on the $R$-site form a three-dimensional network of corner-sharing tetrahedra, provide a canonical setting for geometrical frustration. Ho-based pyrochlores host a…

Strongly Correlated Electrons · Physics 2026-04-17 A. A. Aczel , B. R. Ortiz , Y. Luo , G. Pokharel , P. M. Sarte , C. dela Cruz , J. Liu , G. Sala , S. D. Wilson , B. A. Frandsen , J. A. M. Paddison

We propose a spin-ice-based heterostructure capable of encoding magnetic monopole quasiparticle positions for non-volatile information storage applications. Building upon two-dimensional magnetic monopole gases formed at the interface…

Strongly Correlated Electrons · Physics 2025-10-10 Prakash Timsina , Andres Chappa , Deema Alyones , Boris Kiefer , Ludi Miao

Recently there have been a number of experiments on Ce$_2$Zr$_2$O$_7$ and Ce$_2$Sn$_2$O$_7$, suggesting that these materials host a three-dimensional quantum spin liquid with emergent photons and fractionalized spinon excitations. However,…

Strongly Correlated Electrons · Physics 2020-11-02 Adarsh S. Patri , Masashi Hosoi , Yong Baek Kim

The Coulomb phase, with its dipolar correlations and pinch-point-scattering patterns, is central to discussions of geometrically frustrated systems, from water ice to binary and mixed-valence alloys, as well as numerous examples of…

The ferromagnetic Ising spins are modeled on a recursive lattice constructed from random-angled rhombus units with stochastic configurations, to study the magnetic properties of the bulk Fe-based metallic glass. The integration of spins on…

Materials Science · Physics 2015-07-06 Ran Huang , Ling Zhang , Chong Chen , Chengjie Wu , Linyin Yan

Proceeding from the more general to the more concrete, we propose an equilibrium field theory describing spin ice systems in terms of topological charges and magnetic monopoles. We show that for a spin ice on a graph, the entropic…

Mesoscale and Nanoscale Physics · Physics 2020-05-21 Cristiano Nisoli

Studies on systems far from equilibrium open up new avenues for investigating exotic phases of matter. A driven-dissipative frustrated spin system is examined in this study, and we suggest an out-of-equilibrium non-magnetic phase where the…

Strongly Correlated Electrons · Physics 2023-09-07 Mingxi Yue , Zi Cai

Here an artificial spin ice (ASI) lattice is introduced that exhibits unique Ising and non-Ising behavior under specific field switching protocols because of the inclusion of coupled nanomagnets into the unit cell. In the Ising regime, a…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 R. Puttock , A. Manzin , V. Neu , F. Garcia Sanchez , A. Fernandez Scarioni , H. W. Schumacher , O. Kazakova

We study the effects of lattice deformations on the Kagome spin ice, with Ising spins coupled by nearest neighbor exchange and long range dipolar interactions, in the presence of in-plane magnetic fields. We describe the lattice energy…

Strongly Correlated Electrons · Physics 2013-11-27 F. A. Gómez Albarracín , D. C. Cabra , H. D. Rosales , G. L. Rossini

A frustrated system is one whose symmetry precludes the possibility that every pairwise interaction (``bond'') in the system can be satisfied at the same time. Such systems are common in all areas of physical and biological science. In the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Steven T. Bramwell , Michel J. -P. Gingras

An inhomogeneous random recursive lattice was constructed from the multi-branched Husimi square lattice. The number of repeating units connected on one vertex was randomly set to be 2 or 3 with a quenched ratio $P_2$ or $P_3$ with…

Statistical Mechanics · Physics 2016-09-21 Ran Huang

Topologically protected swirl of the magnetic texture known as the Skyrmion has become ubiqui- tous in both metallic and insulating chiral magnets. Meanwhile the existence of its three-dimensional analogue, known as the magnetic monopole,…

Strongly Correlated Electrons · Physics 2016-08-24 Seong-Gyu Yang , Ye-Hua Liu , Jung Hoon Han
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