Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft...

21
Ashcroft & Mermin Chapter 11 Other Methods for Calculating Band Structure: Wigner Seitz Cellular method, & Muffin tin potential Part I

Transcript of Ashcroft & Mermin Chapter 11 - National Tsing Hua Universityspin/course/106S/Ashchoft...

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:

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:
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:
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:
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:
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:
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:
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:

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:
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:
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:
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:
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:

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:
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:
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:
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:
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:
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:

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:
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:

Muffin tin potential,compare with Fig. 11.5


Bibliography3A978-3-642...Bibliography Introductions to Solid-State Physics Excellent and very complete representations of solid-state physics are 1. N. W. Ashcroft, N. D. Mermin:

Bibliography3A978-3-642...Bibliography Introductions to Solid-State Physics Excellent and very complete representations of solid-state physics are 1. N. W. Ashcroft, N. D. Mermin:

Lecture Notes on Condensed Matter Physics (A Work in ... - Physics …courses.physics.ucsd.edu/2010/Winter/physics211b/LECTURES/211_… · N. W. Ashcroft and N. D. Mermin, Solid State

Lecture Notes on Condensed Matter Physics (A Work in ... - Physics …courses.physics.ucsd.edu/2010/Winter/physics211b/LECTURES/211_… · N. W. Ashcroft and N. D. Mermin, Solid State

Ashcroft,Neil W,Mermin,David N-Solid State Physicsweb.physics.ucsb.edu/~phys123B/w2013/AMsuper.pdf · 726 Chapter 34 In Chapter 32 we found that the independent electron approximation

Ashcroft,Neil W,Mermin,David N-Solid State Physicsweb.physics.ucsb.edu/~phys123B/w2013/AMsuper.pdf · 726 Chapter 34 In Chapter 32 we found that the independent electron approximation

Physics of materials - University of British Columbiabirger/phys315_final.pdf · Ashcroft and Mermin [2], Christman [5], Kittel [6] and Omar [8]. 2.1 Bravais lattices and lattices

Physics of materials - University of British Columbiabirger/phys315_final.pdf · Ashcroft and Mermin [2], Christman [5], Kittel [6] and Omar [8]. 2.1 Bravais lattices and lattices

Magnetism - Physics Courses€¦ · Magnetism 4.1 References N. Ashcroft and N. D. Mermin, Solid State Physics R. M. White, Quantum Theory of Magnetism A. Auerbach, Interacting Electrons

Magnetism - Physics Courses€¦ · Magnetism 4.1 References N. Ashcroft and N. D. Mermin, Solid State Physics R. M. White, Quantum Theory of Magnetism A. Auerbach, Interacting Electrons

Rede de Bravais - IF - Instituto de Física / UFRJtclp/estadosolido/Rededebravais.pdf · Rede de Bravais Cap 1 KITTEL Cap 4 ASHCROFT-MERMIN (todo) Cap7 ASHCROFT-MERMIN (parte) Cap4

Rede de Bravais - IF - Instituto de Física / UFRJtclp/estadosolido/Rededebravais.pdf · Rede de Bravais Cap 1 KITTEL Cap 4 ASHCROFT-MERMIN (todo) Cap7 ASHCROFT-MERMIN (parte) Cap4

Rede recíproca - IF - Instituto de Física / UFRJtclp/estadosolido/Redereciproca.pdf · Cap 6 ASHCROFT-MERMIN Apêndice A-IVAN Seminário: difração de raios-X, difração de neutrons,

Rede recíproca - IF - Instituto de Física / UFRJtclp/estadosolido/Redereciproca.pdf · Cap 6 ASHCROFT-MERMIN Apêndice A-IVAN Seminário: difração de raios-X, difração de neutrons,

Literatur: C. Kittel“Einführungin die Festkörperphysik ... · ElektronischeBandstruktur Literatur: C. Kittel“Einführungin die Festkörperphysik” Kapitel7,8 Ashcroft & Mermin,

Literatur: C. Kittel“Einführungin die Festkörperphysik ... · ElektronischeBandstruktur Literatur: C. Kittel“Einführungin die Festkörperphysik” Kapitel7,8 Ashcroft & Mermin,

Ashcroft and Mermin - Vijaygarh Jyotish Ray College Material_Solid... · 2017-08-22Ashcroft and Mermin - Vijaygarh Jyotish Ray College

Ashcroft and Mermin - Vijaygarh Jyotish Ray College Material_Solid... · 2017-08-22Ashcroft and Mermin - Vijaygarh Jyotish Ray College

SolidStatePhysics - UNIBUCsolid.fizica.unibuc.ro/cursuri/lab_solid/labSSP.pdf · N.W. Ashcroft, N.D. Mermin, Solid State Physics (Harcourt, 1976), chapt. 3. Contents

SolidStatePhysics - UNIBUCsolid.fizica.unibuc.ro/cursuri/lab_solid/labSSP.pdf · N.W. Ashcroft, N.D. Mermin, Solid State Physics (Harcourt, 1976), chapt. 3. Contents

[Ashcroft & Mermin]Solid State Physics Solution

[Ashcroft & Mermin]Solid State Physics Solution

Ashcroft, Mermin - Solid State Physics

Ashcroft, Mermin - Solid State Physics

Solid State Theory - Institute for Theoretical Physicsedu.itp.phys.ethz.ch/fs10/sst/Notes.pdf · Solid State Theory Spring Semester 2010 ... N.W. Ashcroft and N.D. Mermin: Solid State

Solid State Theory - Institute for Theoretical Physicsedu.itp.phys.ethz.ch/fs10/sst/Notes.pdf · Solid State Theory Spring Semester 2010 ... N.W. Ashcroft and N.D. Mermin: Solid State

Mermin - QCS

Mermin - QCS

Ashcroft Mermin - California State University, Bakersfieldadzyubenko/Phys313/AM_Ch4.pdf · 64 4 Crystal Lattices Those who have not wandered amidst the mineralogical departments of

Ashcroft Mermin - California State University, Bakersfieldadzyubenko/Phys313/AM_Ch4.pdf · 64 4 Crystal Lattices Those who have not wandered amidst the mineralogical departments of

Mermin Guide

Mermin Guide

Ashcroft,Neil W,Mermin,David N-Solid State Physics

Ashcroft,Neil W,Mermin,David N-Solid State Physics

From Ashcroft and Mermin, Solid State Physics.

From Ashcroft and Mermin, Solid State Physics.

Minor Program in B.Tech - IIT Mandi Program.pdf · Minor Program in B.Tech: ... Minor Stream in Physics 1. ... Solid State Physics, Ashcroft & Mermin (Cengage learning - Indian Edition)

Minor Program in B.Tech - IIT Mandi Program.pdf · Minor Program in B.Tech: ... Minor Stream in Physics 1. ... Solid State Physics, Ashcroft & Mermin (Cengage learning - Indian Edition)

Some pictures are taken from Ashcroft and Mermin from …iosif.deac/courses/ASSP/1_SolidState_intro.pdf · Page 1 Some pictures are taken from Ashcroft and Mermin from Kittel from

Some pictures are taken from Ashcroft and Mermin from …iosif.deac/courses/ASSP/1_SolidState_intro.pdf · Page 1 Some pictures are taken from Ashcroft and Mermin from Kittel from