Lattice Simulations on a Sphere in Condensed Matter

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SUMMARY

Lattice simulations on a sphere in condensed matter physics are explored, particularly in relation to the Kitaev model, which typically utilizes regular lattices. The discussion highlights the rarity of spherical lattice simulations and references key papers, including one from arXiv (hep-lat/9509009) that addresses this topic. Additional citations from the InspireHEP database provide further insights into related research. This indicates a niche area of study within condensed matter physics that requires more exploration.

PREREQUISITES
  • Understanding of the Kitaev model in condensed matter physics
  • Familiarity with lattice simulations and their applications
  • Knowledge of spherical geometries in physical models
  • Experience with academic research databases like arXiv and InspireHEP
NEXT STEPS
  • Research the implications of spherical geometries on lattice simulations
  • Explore advanced topics in the Kitaev model and its variations
  • Investigate other lattice structures used in condensed matter physics
  • Review recent papers cited in the InspireHEP database related to spherical lattice simulations
USEFUL FOR

Physicists, researchers in condensed matter, and graduate students interested in advanced lattice simulations and geometric modeling in theoretical physics.

atyy
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Most lattices I've come across in condensed matter, like the Kitaev model, are regular lattices and don't fit on a sphere.

Are lattice simulations ever put on a sphere in condensed matter, and if so what sort of lattice is used?
 
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