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A zero temperature dynamics of Ising spin glasses and ferromagnets on random graphs of finite connectivity is considered, like granular media these systems have an extensive entropy of metastable states. We consider the problem of what…

Statistical Mechanics · Physics 2009-11-07 David S. Dean , Alexandre Lefèvre

The complexity embedded in condensed matter fertilizes the discovery of new states of matter, enriched by ingredients like frustration. Illustrating examples in magnetic systems are Kitaev spin liquids, skyrmions phases, or spin ices. These…

Strongly Correlated Electrons · Physics 2017-02-10 E. Lefrançois , V. Cathelin , E. Lhotel , J. Robert , P. Lejay , C. V. Colin , B. Canals , F. Damay , J. Ollivier , B. Fåk , L. C. Chapon , R. Ballou , V. Simonet

The Tb$_2$Ti$_2$O$_7$ pyrochlore magnetic material is attracting much attention for its {\em spin liquid} state, failing to develop long range order down to 50 mK despite a Curie-Weiss temperature $\theta_{\rm CW} \sim -14$ K. In this paper…

Statistical Mechanics · Physics 2007-05-23 Hamid R. Molavian , Michel J. P. Gingras , Benjamin Canals

In this Comment we argue that Ho$_2$Ti$_2$O$_7$ does not exhibit a transition to a partially ordered state unlike what is argued in PRL 83, 1854 (1999), that it exhibits spin ice behavior, and that the experimental specific heat data by…

Disordered Systems and Neural Networks · Physics 2016-08-31 B. C. den Hertog , Michel J. P. Gingras , Steven T. Bramwell , Mark J. Harris

In this work we propose and study a realization of an artificial spin ice-like system, not based on any real material, in a triangular geometry. At each vertex of the lattice, the "ice-like rule" dictates that three spins must point inward…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 L. A. S. Mól , A. R. Pereira , W. A. Moura-Melo

Intensity distribution of the neutron magnetic scattering has been taken in the reciprocal space of a single crystal of the "spin ice" system Ho2Ti2O7 at the elastic energy position in the temperature (T) region between 0.4 K and 50 K. The…

We investigate ground-state and finite temperature properties of the mixed-spin $(s, S)$ Kitaev model. When one of spins is half-integer and the other is integer, we introduce two kinds of local symmetries, which results in a macroscopic…

Strongly Correlated Electrons · Physics 2019-09-11 Akihisa Koga , Joji Nasu

Pyrochlore magnets are candidates for spin-ice behavior. We present theoretical simulations of relevance for the pyrochlore family R2Ti2O7 (R= rare earth) supported by magnetothermal measurements on selected systems. By considering long…

Statistical Mechanics · Physics 2009-10-31 R. Siddharthan , B. S. Shastry , A. P. Ramirez , A. Hayashi , R. J. Cava , S. Rosenkranz

The mathematics of gauge theories lies behind many of the most profound advances in physics in the last 200 years, from Maxwell's theory of electromagnetism to Einstein's theory of general relativity. More recently it has become clear that…

Strongly Correlated Electrons · Physics 2016-06-10 Owen Benton , Ludovic D. C. Jaubert , Han Yan , Nic Shannon

We develop a self-contained theoretical framework that classifies the topological phases and critical phenomena of classical pyrochlore magnets with arbitrary spin $S$, subject to competing exchange and single-ion anisotropies. In the…

Strongly Correlated Electrons · Physics 2026-04-07 Sena Watanabe , Yukitoshi Motome , Haruki Watanabe

Frustrated systems are ubiquitous and interesting because their behavior is difficult to predict. Magnetism offers extreme examples in the form of spin lattices where all interactions between spins cannot be simultaneously satisfied. Such…

Strongly Correlated Electrons · Physics 2009-11-07 S. -H. Lee , C. Broholm , W. Ratcliff , G. Gasparovic , Q. Huang , T. H. Kim , S. -W. Cheong

The third law of thermodynamics dictates that the entropy of materials becomes zero as temperature ($T$) approaches zero. Contrarily, glass and other similar materials exhibit nonzero entropy at $T=0$, which contradicts the third law. For…

Statistical Mechanics · Physics 2026-02-25 Koun Shirai

The spin ice materials, including Ho2Ti2O7 and Dy2Ti2O7, are rare earth pyrochlore magnets which, at low temperatures, enter a constrained paramagnetic state with an emergent gauge freedom. Remarkably, the spin ices provide one of very few…

Strongly Correlated Electrons · Physics 2014-07-29 Michel J. P. Gingras , Paul A. McClarty

For a class of highly frustrated antiferromagnetic quantum spin lattices the ground state exhibits a huge degeneracy in high magnetic fields due to the existence of localized magnon states. For some of these spin lattices (in particular,…

Statistical Mechanics · Physics 2009-11-10 Oleg Derzhko , Johannes Richter

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

Recently it has been suggested that long range magnetic dipolar interactions are responsible for spin ice behavior in the Ising pyrochlore magnets ${\rm Dy_{2}Ti_{2}O_{7}}$ and ${\rm Ho_{2}Ti_{2}O_{7}}$. We report here numerical results on…

Disordered Systems and Neural Networks · Physics 2009-10-31 Roger G. Melko , Byron C. den Hertog , Michel J. P. Gingras

We study single crystals of Dy$_2$Ti$_2$O$_7$ and Ho$_2$Ti$_2$O$_7$ under magnetic field and stress applied along their [001] direction. We find that many of the features that the emergent gauge field of spin ice confers to the macroscopic…

We have studied spin freezing in the diluted spin ice compound Dy2-xYxTi2O7 where the non-magnetic Y ions replace the magnetic Dy ions on the frustrated pyrochlore lattice. Magnetic a.c. and d.c. susceptibility data are presented with an…

Materials Science · Physics 2009-11-07 J. Snyder , J. S. Slusky , R. J. Cava , P. Schiffer

A study of the modifications of the magnetic properties of Ho$_{2-x}$Y$_x$Sn$_2$O$_7$ upon varying the concentration of diamagnetic Y$^{3+}$ ions is presented. Magnetization and specific heat measurements show that the Spin Ice ground-state…

Strongly Correlated Electrons · Physics 2010-11-01 G. Prando , P. Carretta , S. R. Giblin , J. Lago , S. Pin , P. Ghigna

The physics of the spin glass (SG) state, with magnetic moments (spins) frozen in random orientations, is one of the most intriguing problems in condensed matter physics. While most theoretical studies have focused on the Edwards-Anderson…

Disordered Systems and Neural Networks · Physics 2009-09-02 Ka-Ming Tam , Michel J. P. Gingras