https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/ 2026-04-04T13:40:46+00:00 https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/ https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/lib/tpl/dokuwiki/images/favicon.ico text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=2&rev=1583514849&do=diff Day 2 Free electron gas Reading: A&M Ch2-3, Kittel Ch6 Summary: Gas of N free electrons in a 3d potential - the Sommerfeld and Drude models. Wave functions, energy of multi-particle free electron gas. k-states, counting. Density of states in 3 dimensions. Fermi energy and other Fermi quantities. Orders of magnitude. Electrical conductivity in the Drude/Sommerfeld models. text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=3&rev=1583514849&do=diff Day 3 Reading: A&M Ch 2,3,8; K Ch 6 Summary: * FEG in electric and magnetic field, Hall effect, Hall coefficient, mobility. * Brief discussion of Bloch states and semiclassical equations $\vec F = {{d\hbar \vec k} \over {dt}};\vec p = m\vec v$. * Fermi distribution function * Thermal currents text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=4&rev=1583514849&do=diff Day 4 Reading: Kittel Appendix F (BTE); A&M Ch 13,16 [Slides] Summary: * Boltzmann transport equation * BTE with electric field (quantitative - shifts Fermi sphere; elec conductivity for hwk) * BTE with temperature gradient (qualitative - blurs Fermi sphere on one side - thermal conductivity) text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=5&rev=1583514849&do=diff Day 5 Reading: Kittel App. J, Ch 18; A&M p. 321 ff. Also Harman Ch1 for general background and mesoscopics, (see resources) Summary: * Fermi Golden Rule for scattering probability. Transition matrix element for electron-phonon interaction. Conservation of momentum/energy. Scattering probability. text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=6&rev=1583514849&do=diff Day 6 Reading: Kittel App. J, Ch 18; A&M p. 321 ff. Also Harman Ch1 for general background and mesoscopics, (see resources) [quantum_transport_slides_2] Summary: * Ballistic 1-d transport - resonant * Adding inelastic scattering * Adding elastic scattering - localization text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=7&rev=1583514849&do=diff Day 7 Reading: Kittel Ch 18 (Nanostructures) Summary: Pair of inelastic scattering sites. See hw#3 for many inelastic scattering sites. Many elastic scattering sites. Anderson localization. [Quantum transport slides 3] Semiconductor review - n and p-type semiconductors; intrinsic and extrinsic, calculating carrier concentration. Temperature-dependent conductivity of lightly doped semiconductors (band conduction). Gate-voltage-dependence conductivity of lightly doped semiconductors. Hopping … text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=8&rev=1583514849&do=diff Day 8 Reading: Kittel Ch 18 (Nanostructures), AB effect in Feynman Summary: Vector potential. Aharanov Bohm effect. Integer quantum hall effect (start) [topo_phenom_slides.pdf] text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=9&rev=1583514849&do=diff Day 9 QHE [QHE slides] Summary: Topological phenomena in electron transport. Hall tensor, Quantum Hall effect, Landau levels, localization text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=10&rev=1583514849&do=diff Day 10 Reading: <http://en.wikipedia.org/wiki/Quantum_tunnelling#cite_note-21>, AM p.735,K p.287. Also see resources. Summary: Tunneling current, MIM, STM, MTJ [tunneling.pptx] text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=11&rev=1583514849&do=diff Day 11 Reading: I&L Ch 10 [superconductivty slides] Summary: Superconductivity text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=13&rev=1583514849&do=diff Day 13 Superconductivity Reading: Ibach Summary: he 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. text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=14&rev=1583514849&do=diff Day 14 Superconductiivty Reading: Summary: 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. text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=15&rev=1583514849&do=diff Project presentations * Nicole * Kyle * Daniel * Jordan Possible topics * FQHE * Majorana fermions ? * High temperature superconductivity * Tunneling – semiconductor, Josephson * Temp dependence of resistivity in metals * UCF text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=hw1&rev=1583514849&do=diff Homework #1 PH 671 - Spring 2016, Due 5pm on Friday, Week 1 1. Sommerfeld model (3d FEG) a) Assuming the Sommerfeld model, and starting from a sketch of allowed traveling wave states in k-space, show that n3d = (kF)³/3π². b) Estimate n3d and E text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=hw2&rev=1583514849&do=diff Homework #2 PH 671 - Spring 2016, Due 5pm on Friday, Week 2 Journal reading (5 pts) Write a one-paragraph summary (4 or 5 sentences) about an experimental or theoretical solid state physics paper from 2010 or later that contains one or more of the following:$E\left( {\vec k} \right)$$\vec p = \hbar \vec k$$\vec F = \hbar {{d\vec k} \over {dt}}$$\vec v\left( {\vec k} \right)$${m^*}$$\vec v\left( {\vec k} \right) = {1 \over \hbar }{\nabla _k}E$${m^*} = {{{\hbar ^2}} \over {\nabla _k^2E}}$${\vec… text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=hw3&rev=1583514849&do=diff Homework #3 PH 671 - Spring 2016, Due 5pm on Friday, Week 3 1D Subbands (5 pts) Show that the number of occupied 1d subbands in a metal wire is approximately equal to the number of atoms in the cross-section of the wire. Assume a free-electron Sommerfeld model when deciding which states will be occupied. $$T = {{{{\left| {{t_1}} \right|}^2}{{\left| {{t_2}} \right|}^2}} \over {1 - {{\left| {{r_1}} \right|}^2}{{\left| {{r_2}} \right|}^2}}}$$$$R = {h \over {2{e^2}}}\left( {1 + {{{{\left| {{r_1}… text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=info&rev=1583514849&do=diff Course Information Prerequisites PH575 Introduction to Solid State Physics, or an equivalent course in solid state physics. Overview & Outcomes The following questions are addressed during this 5 week module: * How are quantum effects such as the Pauli exclusion principle and electron wave interference manifested in solid state systems? text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=projects&rev=1583514849&do=diff Projects Choose a topic that you would like to learn more about. Write a paper and prepare a 30-minute presentation. Include the following elements: * A through review of the classic texts, with a tutorial approach in mind * The most recent research literature on the topic or related topics (we can discuss this more) text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=sidebar&rev=1583514849&do=diff Navigation * Home page * Hwk Assignments * Syllabus & Resources * Course Information * Projects text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=start&rev=1583514849&do=diff Week 1TopicReadingAssignments1M 3/28Physics Comp Exam - No class HW #12W 3/30Free electron gas, electrical conductivityA&M Ch 2,3, Kittel Ch 6 3F 4/1FEG, thermal transport, occupation functionA&M Ch 2,3,8; K Ch 6 Week 2TopicReadingAssignments4M 4/4Boltzmann transport eq., Phonon scattering text/html 2020-03-06T09:14:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://sites.science.oregonstate.edu/~tatej/COURSES/ph671/doku.php?id=syllabus&rev=1583514849&do=diff Syllabus * Fundamentals of band structure * Free electron gas * Bloch theorem * Boltzmann transport equation * motion in constant E field → Drude result * diffusion * phonon scattering mechanism * Quantum transport *