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