PH671

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Week 2		Topic	Reading	Summary	Assignments
4	M 4/4	Phonon scattering	A&M Ch 13	day3_2013.pdf: Drude result for calculating current density. Phonon review, ph575 notes24. Fermi Golden Rule for scattering probability. Transition matrix element for electron-phonon interaction. Conservation of momentum/energy. Scattering probability.	HW #2
5	W 4/6	Phonon scattering	A&M Ch 13	day4_2013.pdf: Temperature dependent resistivity in metals predicted by phonon scattering matrix elements. Highest energy phonon sets important energy scale. Estimation of highest energy phonon. Introduction to electron transport in ballastic systems.
6	F 4/8	Ballistic Transport	Kittel Ch 18 (Nanostructures)	day5_2013.pdf: Comparison with diffusive transport. CNT example. Calculating the conductance quantum. Definitions of 1d channels. Systems with multiple 1d channels.	hw2solns.pdf

Week 3		Topic	Reading	Summary	Assignments
7	M 4/11	Adding scattering	Kittel Ch 18 (Nanostructures)	day6_2013.pdf: Add scattering to a ballistic system. One scattering site reduces current by transmission probability. Two scattering sites, transmission depends on wave interference.	HW #3
8	W 4/13	Adding scattering	Kittel Ch 18 (Nanostructures)	day7_2013.pdf: Pair of inelastic scattering sites. See hw#3 for many inelastic scattering sites. Many elastic scattering sites. Anderson localization. Review of what we've covered so far. Temperature-dependent conductivity of lightly doped semiconductors. Gate-voltage-dependent conductivity of lightly doped semiconductors.
9	F 4/15	Variable range hopping. Mott Insulators	Mott's txt bk, A&M p340 & 542	day8_2013.pdf: Disordered semiconducting materials: conductance vs. temperature predicted by variable range hopping theory. Introduction to Mott insulator state. Calculation of critical lattice constant for metal-insulator transition. Little a limit: Thomas-Fermi screening depends on the electron concentration. Big a limit: polarizability depends on the distance to neighboring dipoles.	hw3solns.pdf

Week 4		Topic	Reading	Summary	Assignments
10	M 4/18	Electrons in B-field	Feynman Lecture on AB effect	day9_2013.pdf: Topological phenomena in electron transport. Electrons in B-field: Hall effect, Aharanov-Bohm effect.	HW #4
11	W 4/20	Quantum Hall Effect	Article 1, Article 2	day10_2013.pdf: Aharanov-Bohm effect. QM description of cyclotron orbits. Landau levels. Fluctuation in electron density (constant chemical potential). The QHE experiment. Animation. QHE explanation based on ExB drift velocity.
12	F 4/22	Tunneling devices	Tunneling (wikipedia)	day11_2013b.pdf: Importance of tunneling device in technology. Calculating I_tunnel. Examples: STM microscopy, STM spectroscopy, tunnel magnetoresistance, tunnel diodes.	hw4solns.pdf

Week 5		Topic	Reading	Summary	Assignments
13	M 4/25	Superconductivity	Ibach chapter	day12_2013.pdf: The experimental observations. Note about Type I vs. Type II. Composite bosons. Ionic lattice can be deformed: trail of deformation. Size scale for attractive interaction. The Cooper pair wavefunction. The Cooper pair binding energy at T = 0. The number density of Cooper pairs. Temperature dependence of Cooper pair binding energy.	HW #5
14	W 4/27	Superconductivity	Ibach chapter	day13_2013.pdf: Center of mass motion of Cooper pairs. Critical current density. London equation. London penetration depth. Solenoid field generated by a solid cylinder of superconductor. Critical B field for Type I superconductor. Explaining the difference between Type I and Type II superconductors.
15	F 4/29