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

Thermodynamic limit in real space

10 of 18

10 of 18

Thermodynamic limit in real space

Class Central Classrooms beta

YouTube videos curated by Class Central.

Classroom Contents

Convergence of the Planewave Approximations for Quantum Incommensurate Systems

Automatically move to the next video in the Classroom when playback concludes

  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

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.