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Spin ice systems represent a prime example of constrained spin systems and exhibit rich low-energy physics. In this study, we explore how introducing a tunable anisotropic spin coupling to the conventional Ising spin ice Hamiltonian on the…

Strongly Correlated Electrons · Physics 2025-10-28 Gloria Isbrandt , Frank Pollmann , Michael Knap

We have studied the thermodynamics of the stuffed spin ice material, Dy2(DyxTi2-x)O7-x/2, in which additional Dy3+ replace Ti4+ in the pyrochlore Dy2Ti2O7. Heat capacity measurements indicate that these materials lose the spin ice zero…

Strongly Correlated Electrons · Physics 2008-04-26 B. G. Ueland , G. C. Lau , R. S. Freitas , J. Snyder , M. L. Dahlberg , B. D. Muegge , E. L. Duncan , R. J. Cava , P. Schiffer

Identifying extensively degenerate zero-temperature states is key in characterizing spin-liquid-candidate materials and spin ices. In experiments, finding zero-point entropy (ZPE) is often attempted by measuring the entropy released by a…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Sergey Syzranov , Arthur P. Ramirez

Recent experiments on the spin-ice material Dy2Ti2O7 suggest that the Pauling "ice entropy", characteristic of its classical Coulombic spin-liquid state, may be lost at low temperatures [D. Pomaranski et al., Nature Phys. 9, 353 (2013)].…

Strongly Correlated Electrons · Physics 2015-09-16 Paul McClarty , Olga Sikora , Roderich Moessner , Karlo Penc , Frank Pollmann , Nic Shannon

The application of a magnetic field along the [111] direction in the spin ice compounds leads to two magnetization plateaux, in the first of which the ground state entropy is reduced but still remains extensive. We observe that under…

Statistical Mechanics · Physics 2007-05-23 R. Moessner , S. L. Sondhi

From thermodynamic origins, the concept of entropy has expanded to a range of statistical measures of uncertainty, which may still be thermodynamically significant. However, laboratory measurements of entropy continue to rely on direct…

Statistical Mechanics · Physics 2012-04-24 Paul E. Lammert , Xianglin Ki , Jie Li , Cristiano Nisoli , David M. Garand , Vincent H. Crespi , Peter Schiffer

We study link-diluted $\pm J$ Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with…

Disordered Systems and Neural Networks · Physics 2009-01-02 Thomas Jorg , Federico Ricci-Tersenghi

We report the magnetic and thermal properties of Dy2Sn2-xSbxO7+x/2, x = 0, 0.25, and 0.5, and Dy2NbScO7. We find evidence for Ising-like single ion ground states in the Dy2Sn2-xSbxO7+x/2 materials. These materials possess nearly the same…

Strongly Correlated Electrons · Physics 2009-11-13 X. Ke , B. G. Ueland , D. V. West , M. L. Dahlberg , R. J. Cava , P. Schiffer

Geometrically frustrated clusters of Ising spins of different shapes on a triangular lattice are studied by exact enumeration and Monte Carlo simulation. The focus is laid on the ground-state energy and residual entropy behaviors as…

Statistical Mechanics · Physics 2014-12-19 M. Žukovič , A. Bobák

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

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 we study the statistical properties of two-dimensional spin ice in its ground state by the Monte Carlo simulation method. Using a new sampling algorithm, we show that the short-range ice rule in two dimensions gives rise to long-range…

Statistical Mechanics · Physics 2014-01-29 M. I. Ryzhkin

Long-range ordering is typically associated with a decrease in entropy. Yet, it can also be driven by increasing entropy in certain special cases. We demonstrate that artificial spin ice arrays of single-domain nanomagnets can be designed…

The disordered pyrochlore oxide Dy$_{2}$Zr$_{2}$O$_{7}$ shows the signatures of field-induced spin freezing with remnant zero-point spin-ice entropy at 5 kOe magnetic field. We have performed zero-field and longitudinal field Muon spin…

Strongly Correlated Electrons · Physics 2023-03-28 Sheetal , Pabitra K. Biswas , K. Yokoyama , D. T. Adroja , C. S. Yadav

A ``persistence'' exponent theta has been extensively used to describe the nonequilibrium dynamics of spin systems following a deep quench: for zero-temperature homogeneous Ising models on the d-dimensional cubic lattice, the fraction p(t)…

Disordered Systems and Neural Networks · Physics 2009-10-31 C. M. Newman , D. L. Stein

We study the residual entropy of a two-dimensional Ising model with crossing and four-spin interactions, both for the case that in zero magnetic field and that in an imaginary magnetic field i({\pi}/2)kT. The spin configurations of this…

Statistical Mechanics · Physics 2023-04-13 De-Zhang Li , Yu-Jun Zhao , Yao Yao , Xiao-Bao Yang

The thermal equilibrium properties of the spin-ice material DTO, including specific heat, magnetization, and spin correlations, could be successfully reproduced by a model featuring magnetic interactions up to the third nearest neighbor and…

Strongly Correlated Electrons · Physics 2025-04-14 Mariano Marziali Bermudez , R. A. Borzi , D. A. Tennant , S. A. Grigera

We report the low-temperature magnetothermal properties and spin dynamics of a mixed pyrochlore, Dy2GaSbO7 through the coordination of measurements of dc magnetization, ac susceptibility, and heat capacity, and CF computation. In Dy2GaSbO7,…

Materials Science · Physics 2021-04-19 Saikat Nandi , Yatramohan Jana , Jahangir Alam , Pallab Bag , S. S. Islam , Ramesh Nath

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

Geometric frustration usually arises in systems that comprise magnetic moments (spins) which reside on the sites of a lattice made up of elementary triangular or tetrahedral units and which interact via antiferromagnetic nearest-neighbor…

Statistical Mechanics · Physics 2009-03-17 Michel J. P. Gingras