Convergence of the Planewave Approximations for Quantum Incommensurate Systems

Convergence of the Planewave Approximations for Quantum Incommensurate Systems

Institute for Pure & Applied Mathematics (IPAM) via YouTube Direct link

Summary

18 of 18

18 of 18

Summary

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Convergence of the Planewave Approximations for Quantum Incommensurate Systems

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  1. 1 Intro
  2. 2 Periodic structure
  3. 3 Incommensurate structure: definition
  4. 4 Incommensurate structure: 1D example
  5. 5 2D materials: periodic vs. incommensurate structures
  6. 6 Schrödinger-type eigerwalue problems
  7. 7 Example of periodic systems: Spectrum on supercels
  8. 8 Band structure and density of States
  9. 9 Matrix structure: Periodic vs. Incommensurate
  10. 10 Thermodynamic limit in real space
  11. 11 Supercell approximations for incommensurate systems
  12. 12 Plane wave discretizations
  13. 13 Higher dimensional formulations
  14. 14 Plane wave cutols
  15. 15 Convergence of the plane wave approximations
  16. 16 Accelerate the convergence by sampling
  17. 17 Example 1: Convergence of plane wave approximations
  18. 18 Summary

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