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Magnetic monopoles in spin ice
This work proposes that magnetic monopoles emerge in a class of exotic magnets known collectively as spin ice: the dipole moment of the underlying electronic degrees of freedom fractionalises into monopoles, which would account for a mysterious phase transition observed experimentally in spin ice in a magnetic field. Expand
Entanglement and topological entropy of the toric code at finite temperature
We calculate exactly the von Neumann and topological entropies of the toric code as a function of system size and temperature. We do so for systems with infinite energy scale separation betweenExpand
Quantum topological phase transition at the microscopic level
We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact groundExpand
Topological order and topological entropy in classical systems
We show that the concept of topological order, introduced to describe ordered quantum systems which cannot be classified by broken symmetries, also applies to classical systems. Starting from aExpand
Steady-state superconductivity in electronic materials with repulsive interactions
We study the effect of laser driving on a minimal model for a hexagonal two-dimensional material with broken inversion symmetry. Through the application of circularly polarised light and coupling toExpand
Spin Ice, Fractionalization, and Topological Order
The spin ice compounds Dy2Ti2O7 and Ho2Ti2O7 are highly unusual magnets that epitomize a set of concepts of great interest in modern condensed matter physics: Their low-energy physics exhibits anExpand
Thermal quenches in spin ice.
It is found that due to the Coulomb interaction between the monopoles, a dynamical arrest occurs, in which nonuniversal lattice-scale constraints impede the complete decay of charge fluctuations. Expand
Vacancy defects and monopole dynamics in oxygen-deficient pyrochlores.
It is proposed that oxygen deficiency is the leading cause of magnetic impurities in as-grown samples, and the defect structure and magnetism in Y2Ti2O7-δ is determined using diffuse neutron scattering and magnetization measurements. Expand
Topological order in a three-dimensional toric code at finite temperature
We study topological order in a toric code in three spatial dimensions or a $3+1\text{D}$ ${\mathbb{Z}}_{2}$ gauge theory at finite temperature. We compute exactly the topological entropy of theExpand
Neural network wave functions and the sign problem
This work proposes a neural network architecture with a simple, explicit, and interpretable phase ansatz, which can robustly represent low-energy states and achieve state-of-the-art variational energies for both conventional and frustrated antiferromagnets. Expand