Advances in artificial spin ice

SH Skjærvø, CH Marrows, RL Stamps… - Nature Reviews …, 2020 - nature.com
Artificial spin ices consist of nanomagnets arranged on the sites of various periodic and
aperiodic lattices. They have enabled the experimental investigation of a variety of …

Colloquium: Ice rule and emergent frustration in particle ice and beyond

A Ortiz-Ambriz, C Nisoli, C Reichhardt… - Reviews of Modern …, 2019 - APS
Geometric frustration and the ice rule are two concepts that are intimately connected and
widespread across condensed matter. The first refers to the inability of a system to satisfy …

Extensive degeneracy, Coulomb phase and magnetic monopoles in artificial square ice

Y Perrin, B Canals, N Rougemaille - Nature, 2016 - nature.com
Artificial spin-ice systems are lithographically patterned arrangements of interacting
magnetic nanostructures that were introduced as way of investigating the effects of …

Cooperative magnetic phenomena in artificial spin systems: spin liquids, Coulomb phase and fragmentation of magnetism–a colloquium

N Rougemaille, B Canals - The European Physical Journal B, 2019 - Springer
Two-dimensional arrays of interacting magnetic nanostructures offer a remarkable
playground for simulating, experimentally, lattice spin models. Initially designed to capture …

Emergent order in the kagome Ising magnet Dy3Mg2Sb3O14

JAM Paddison, HS Ong, JO Hamp, P Mukherjee… - Nature …, 2016 - nature.com
The Ising model—in which degrees of freedom (spins) are binary valued (up/down)—is a
cornerstone of statistical physics that shows rich behaviour when spins occupy a highly …

Partial lifting of degeneracy in the Ising antiferromagnet on the kagome lattice

J Colbois, B Vanhecke, L Vanderstraeten, A Smerald… - Physical Review B, 2022 - APS
Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the
classical J 1-J 2-J 3 Ising antiferromagnet on the kagome lattice. We establish the ground …

Bypassing dynamical freezing in artificial kagome ice

V Schánilec, B Canals, V Uhlíř, L Flajšman, J Sadílek… - Physical Review Letters, 2020 - APS
Spin liquids are correlated, disordered states of matter that fluctuate even at low
temperatures. Experimentally, the extensive degeneracy characterizing their low-energy …

Solving frustrated Ising models using tensor networks

B Vanhecke, J Colbois, L Vanderstraeten… - Physical Review …, 2021 - APS
Motivated by the recent success of tensor networks to calculate the residual entropy of spin
ice and kagome Ising models, we develop a general framework to study frustrated Ising …

Quasidegenerate ice manifold in a purely two-dimensional square array of nanomagnets

Y Perrin, B Canals, N Rougemaille - Physical Review B, 2019 - APS
We investigate numerically the low-energy properties of an artificial square spin system in
which the nanomagnets are physically connected at the lattice vertex sites. Micromagnetic …

Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small farther-neighbor couplings

J Colbois, K Hofhuis, Z Luo, X Wang, A Hrabec… - Physical Review B, 2021 - APS
Despite their simple formulation, short-range classical antiferromagnetic Ising models on
frustrated lattices give rise to exotic phases of matter, in particular, due to their macroscopic …