• Corpus ID: 215416010

Field Theory for Magnetic Monopoles in (Square, Artificial) Spin Ice

@article{Nisoli2020FieldTF,
  title={Field Theory for Magnetic Monopoles in (Square, Artificial) Spin Ice},
  author={Cristiano Nisoli},
  journal={arXiv: Mesoscale and Nanoscale Physics},
  year={2020}
}
  • C. Nisoli
  • Published 7 April 2020
  • Physics
  • arXiv: Mesoscale and Nanoscale Physics
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 interaction in a Gaussian approximation is the inverse of the graph Laplacian matrix, while the screening function for external charges is the inverse of the screened laplacian. We particularize the treatment to square and pyrochlore ice. For square ice we highlight… 

Figures from this paper

References

SHOWING 1-10 OF 115 REFERENCES
Magnetic monopole and string excitations in two-dimensional spin ice
We study the magnetic excitations of a square lattice spin ice recently produced in an artificial form as an array of nanoscale magnets. Our analysis, based on the dipolar interaction between the
From confinement to deconfinement of magnetic monopoles in artificial rectangular spin ices
We study a frustrated two-dimensional array of dipoles forming an artificial rectangular spin ice with horizontal and vertical lattice parameters given by a and b respectively. We show that the ice
Magnetic monopole dynamics in spin ice.
  • L. Jaubert, P. Holdsworth
  • Physics, Medicine
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2011
TLDR
The diffusive quasi-particle dynamics of real spin ice materials within the 'quantum tunnelling' regime is modelled with Metropolis dynamics, with the particles constrained to move along an underlying network of oriented paths, which are classical analogues of the Dirac strings connecting pairs of Dirac monopoles.
Extensive degeneracy, Coulomb phase and magnetic monopoles in artificial square ice
TLDR
All of the characteristics of the square-ice model are observed in an artificialsquare-ice system that consists of two sublattices of nanomagnets that are vertically separated by a small distance, and provides a protocol that could be used to investigate collective magnetic phenomena, including Coulomb phases and the physics of ice-like materials.
Emergent magnetic monopole dynamics in macroscopically degenerate artificial spin ice
TLDR
This work presents the first real-time imaging of emergent magnetic monopole motion in a macroscopically degenerate artificial spin ice system consisting of thermally activated Ising-type nanomagnets lithographically arranged onto a pre-etched silicon substrate.
Magnetic monopoles in spin ice
TLDR
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.
Debye-Hückel theory for spin ice at low temperature
At low temperatures, spin ice is populated by a finite density of magnetic monopoles---pointlike topological defects with a mutual magnetic Coulomb interaction. We discuss the properties of the
Thermal fluctuations in artificial spin ice.
TLDR
The temperature-induced onset of magnetic fluctuations and excitation populations are shown to depend on the lattice spacing and related interaction strength between islands, providing insight into the design of thermal artificial spin ice arrays where the magnetic charge density and response to external fields can be studied in thermal equilibrium.
Emerging Chirality in Artificial Spin Ice
TLDR
It is shown that magnetotransport measurements in connected honeycomb structures yield the onset of an anomalous Hall signal at 50 kelvin, which can be attributed to the long-range dipolar ice phase and indicates a generic route to exotic states via nanoarray edge structure.
Classical spin liquid: Exact solution for the infinite-component antiferromagnetic model on the kagomé lattice
Thermodynamic quantities and correlation functions (CFs) of the classical antiferromagnet on the kagom\'e lattice are studied for the exactly solvable infinite-component spin-vector model, D \to
...
1
2
3
4
5
...