Selberg trace formula in hyperbolic band theory.

Adil Attar1, Igor Boettcher1,2

  • 1Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada.

Physical Review. E
|October 21, 2022
PubMed
Summary

This study introduces hyperbolic band theory using Selberg's trace formula to analyze band structures on hyperbolic lattices. Researchers computed partition functions and proposed relationships between different hyperbolic surfaces.

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