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MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review of solid state physics Chi-Feng Pai [email protected]

MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

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Page 1: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

MSE 5053 Contemporary Solid State Materials

In a Nutshell

Lecture 1: A quick review of solid state physics

Chi-Feng Pai [email protected]

Page 2: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

MSE 5053 More like… Solid State Physics (II)

Lecture 1: A quick review of solid state physics

Chi-Feng Pai [email protected]

Page 3: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

What you’ve might already learned…

• Crystal structures of solids

• Phenomenological models of thermal and electrical transport in materials

• Concept of band structure

• Insulators, conductors, and semiconductors

• Concept of magnetism in solids

Page 4: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

But in reality…

• What if the materials are NOT crystalline?

• Do we really understand their microscopic origins?

• Does band theory always work?

• What about superconductors and other exotic materials?

• Magnetism and other transport properties?

Page 5: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Outline of this course

• Quick review of basic solid state physics • Second quantization of fermions • Electron-electron interaction • Hubbard model • Mott insulator and localization • Second quantization of bosons • Electron-phonon interaction • Bose-Einstein condensation • Superconductor • BCS theory • Mesoscopic transport • Quantum Hall effect

Page 6: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Textbook

• A Quantum Approach to Condensed Matter Physics by Philip L. Taylor and Olle Heinonen

Page 7: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Other References

• [1] Solid State Physics by N. W. Ashcroft and N. D. Mermin

• [2] Conductors, Semiconductors, Superconductors: An Introduction to Solid State Physics (Undergraduate Lecture Notes in Physics) by Rudolf Huebener

• [3] Condensed Matter Field Theory by Alexander Altland and Ben D. Simons

• [4] Condensed Matter Physics by Michael P. Marder

• [5] Condensed Matter in a Nutshell by G. D. Mahan

• [6] Fundamentals of Superconductivity by Vladimir Z. Kresin and Stuart Wolf

• [7] Principles of the Theory of Solids by J. M. Ziman

• [8] Lecture Notes on Electron Correlation and Magnetism by Patrik Fazekas

• [9] Statistical Mechanics by Richard P. Feynman

Page 8: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Other References

• [2] Conductors, Semiconductors, Superconductors: An Introduction to Solid State Physics (Undergraduate Lecture Notes in Physics) by Rudolf Huebener

• [7] Principles of the Theory of Solids by J. M. Ziman

Page 9: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Grading

• Homework (60% from 6 problem sets)

• Term paper (20% from 1 written report)

• Final oral presentation (20% from 1 oral presentation)

• Highly recommend to have

– Mathematica, Matlab, or SciPy… etc. for numerical works

– LaTex or Word to prepare report

Page 10: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Office Hours

• Thursday 2pm-3pm (Engineering building 472)

• Email or call in advance is highly recommended

[email protected]

– (02) 3366-2585

Page 11: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

So what are materials, anyway?

Page 12: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

The “Evolution” of Insulators

Prof. Ming-Che Chang (NTNU) http://phy.ntnu.edu.tw/~changmc/

Page 13: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

The Evolution of Superconductors

Page 14: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Let’s Begin!

• “More is Different”

Science 177, pp. 393-396, 1972

Page 15: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Let’s Begin!

• “More is Different”

P. W. Anderson (1923-) Nobel Laureate in Physics, 1977

Science 177, pp. 393-396, 1972

Page 16: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Let’s Begin!

• “More is Different”

P. W. Anderson (1923-) Nobel Laureate in Physics, 1977

Science 177, pp. 393-396, 1972

Page 17: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Let’s Begin!

• “Purity”

Page 18: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

Let’s Begin!

• “I don’t like this solid state physics… though I initiated it.”

– Wolfgang Pauli

• "Das ist nicht nur nicht richtig, es ist nicht einmal falsch!"

– Wolfgang Pauli

(That is not only not right, it is not even wrong)

Page 19: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Physics that are related to condensed matter physics

Page 20: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Physics that are related to condensed matter physics

Page 21: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Physics that are related to condensed matter physics

Page 22: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Physics that are related to condensed matter physics

Page 23: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Physics that are related to condensed matter physics

Page 24: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Physics that are related to condensed matter physics

Page 25: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Physics that are related to condensed matter physics

Page 26: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Physics that are related to condensed matter physics

Page 27: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Chemistry that are related to condensed matter physics

Page 28: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Chemistry that are related to condensed matter physics

Page 29: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A Rough Timeline of Solid State Physics

• Nobel Prizes in Chemistry that are related to condensed matter physics

Page 30: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A quick review of electron transport

• Drude model (1900)

• Sommerfeld model (1927)

• Bloch model (1928)

• See “Notes on Electron Transport”

Page 31: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A quick review of electron transport

• Drude model (1900)

• Sommerfeld model (1927)

• Bloch model (1928)

• See “Notes on Electron Transport”

Page 32: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A quick review of electron transport

Arnold Sommerfeld (1868–1951)

Founding fathers (of theoretical physics) 1.1 Max Planck 1.2 Albert Einstein 1.3 Arnold Sommerfeld 1.4 Max Born 1.5 Niels Bohr 1.6 Lev Landau 1.7 Hermann von Helmholtz

Students of Sommerfeld Peter Debye, Paul Ewald, Wolfgang Pauli, Linus Pauling, Hans Bethe, Werner Heisenberg, Herbert Frohlich, Rudolf Peierls, Alfred Landé…etc.

Page 33: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A quick review of electron transport

Page 34: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A quick review of electron transport

• Band theory (Peierl and Wilson, 1928-1933)

Page 35: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A quick review of electron transport

• Band theory (Peierl and Wilson, 1928-1933)

Page 36: MSE 5053 Contemporary Solid State Materials In a Nutshellcfpai/MSE5053/Lecture 1-Review.pdf · MSE 5053 Contemporary Solid State Materials In a Nutshell Lecture 1: A quick review

A quick review of electron transport

• Band theory (Peierl and Wilson, 1928-1933)

– The most immediate triumph

• Magnetism (1926-1932)

– A modest success

• Superconductivity (1929-1933)

– A persistent failure