Dipolar spin glass transition in three dimensions

@article{Bose2019DipolarSG,
  title={Dipolar spin glass transition in three dimensions},
  author={Tushar Kanti Bose and Roderich Moessner and Arnab Sen},
  journal={Physical Review B},
  year={2019}
}
Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar Ising system in three dimensions [Phys. Rev. Lett. {\bf 114}, 247207 (2015)] that arises as an effective description of randomly diluted classical spin ice, a prototypical spin liquid in the disorder-free limit, with a small fraction $x$ of non-magnetic… 

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References

SHOWING 1-10 OF 49 REFERENCES

Unreachable glass transition in dilute dipolar magnet

A theory is presented, backed by numerical simulations, which describes the material in terms of classical dipoles, which finds that the ultra-slow dynamics are caused by rare, strongly ordered clusters, which give rise to a Griffths phase between the paramagnetic and spin-glass phases.

Absence of Dipole Glass Transition for Randomly Dilute Classical Ising Dipoles

Dilute dipolar systems in three dimensions are expected to undergo a spin glass transition as the temperature decreases. Contrary to this, we find from Wang-Landau Monte Carlo simulations that at low

Spin-glass transition at nonzero temperature in a disordered dipolar Ising system: the case of LiHoxY(1-x)F4.

This Letter provides compelling evidence from extensive computer simulations that a SG transition at nonzero temperature occurs in a realistic microscopic model of LiHoxY(1-x)F4.

Dipolar magnets and glasses: Neutron-scattering, dynamical, and calorimetric studies of randomly distributed Ising spins.

The magnetic correlations, susceptibility, specific heat, and thermal relaxation in the dipolar-coupled Ising system LiHo_xY_(1-x)F_4.4 is measured to be consistent with a single low-degeneracy ground state with a large gap for excitations.

Ferroelectric and dipolar glass phases of noncrystalline systems

In a recent letter [Phys. Rev. Lett. 75, 2360 (1996)] we briefly discussed the existence and nature of ferroelectric order in positionally disordered dipolar materials. Here we report further results

Dipolar spin correlations in classical pyrochlore magnets.

It is conjecture that a local constraint obeyed by the extensively degenerate ground states dictates a dipolar form for the asymptotic spin correlations, at all N not equal 2 for which the system is paramagnetic down to T=0.

Nonmonotonic residual entropy in diluted spin ice: A comparison between Monte Carlo simulations of diluted dipolar spin ice models and experimental results

Spin ice materials, such as Dy2Ti2O7 and Ho2Ti2O7, have been the subject of much interest for over the past fifteen years. Their low temperature strongly correlated state can be mapped onto the

Spin glass behavior in a random Coulomb antiferromagnet.

In three dimensions, evidence for a finite-temperature transition, as occurs in the Edwards-Anderson model, is rather weak, which may indicate that the sizes are too small to probe the asymptotic critical behavior, or possibly that the universality class is different from that of the Edwin Anderson model and has a lower critical dimension equal to three.

Coulomb phase diagnostics as a function of temperature, interaction range, and disorder.

The detailed shape of pinch points can be used to read off the relative sizes of entropic and magnetic Coulomb interactions of monopoles in spin ice, and the question of why pinch points have been experimentally observed for Ho(1.7)Y(0.3)Ti(2)O(7) even at high temperature in the presence of strong disorder is resolved.

Critical behavior of three-dimensional Ising spin glass models

We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder