ashcroft & mermin chapter 11 - national tsing hua universityspin/course/106s/ashchoft...
TRANSCRIPT
![Page 1: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/1.jpg)
Ashcroft & Mermin
Chapter 11
Other Methods for
Calculating Band Structure:
Wigner Seitz Cellular method,
& Muffin tin potential
Part I
![Page 2: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/2.jpg)
![Page 3: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/3.jpg)
![Page 4: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/4.jpg)
![Page 5: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/5.jpg)
![Page 6: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/6.jpg)
![Page 7: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/7.jpg)
![Page 8: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/8.jpg)
Core wave function
Valence wave function
![Page 9: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/9.jpg)
![Page 10: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/10.jpg)
![Page 11: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/11.jpg)
![Page 12: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/12.jpg)
![Page 13: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/13.jpg)
Spherical symmetric
![Page 14: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/14.jpg)
![Page 15: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/15.jpg)
![Page 16: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/16.jpg)
![Page 17: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/17.jpg)
![Page 18: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/18.jpg)
![Page 19: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/19.jpg)
Actually is much flatter
![Page 20: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/20.jpg)
![Page 21: Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft Mermin-CH11-1.pdf · Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure:](https://reader034.vdocuments.net/reader034/viewer/2022052203/5a7142ca7f8b9ab6538c9b92/html5/thumbnails/21.jpg)
Muffin tin potential,compare with Fig. 11.5