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Hong-Hao Tu (ITP, TU Dresden) Solid State Theory (SS2020) Email: [email protected] Zoom: [email protected] SFB 1143 Lecture 14: Classical electron transport theory June 10 th , 2020

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Page 1: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

Hong-Hao Tu (ITP, TU Dresden)

Solid State Theory (SS2020)

Email: [email protected]: [email protected]

SFB 1143

Lecture 14: Classical electron transport theory

June 10th, 2020

mailto:[email protected]
mailto:[email protected]
Page 2: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

• Q: How does the solid react in the presence of external perturbations?

Page 3: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

• Q: How does the solid react in the presence of external perturbations?

• Direct-current (DC) conductivity:

Page 4: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

• Direct-current (DC) conductivity:

Page 5: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

• Direct-current (DC) conductivity:

Page 6: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

Page 7: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

Page 8: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

Page 9: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

• Equation of motion (E.O.M.):

Page 10: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

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§4.1 Drude theory

classical EOM under the relaxation time assumption

If 𝑓 𝑡 = 0, Ԧ𝑝 𝑡 = Ԧ𝑝0𝑒−𝑡/𝜏.

Page 12: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

• Hall effect:

Page 13: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

• Hall effect:

Page 14: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

Page 15: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

Page 16: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

Page 17: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

Page 18: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

Positively charged “holes” as carriers (quantum theory needed)

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§4.1 Drude theory

• Alternating-current (AC) conductivity:

Page 20: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

• Alternating-current (AC) conductivity:

Page 21: Solid State Theory (SS2020) · §4.1 Drude theory • Direct-current (DC) conductivity: §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory §4.1 Drude theory • Equation of

§4.1 Drude theory

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§4.1 Drude theory


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