Homework Solutions Solid State Physics Ashcroft

  • Pre-requisites
    Graduate level Quantum Mechanics and Statistical Physics

  • Main Text
    N. W. Ashcroft and N. D. Mermin, Solid State Physics

  • Supplementary Texts

  • P. K. Misra, Physics of Condensed Matter

  • M. P. Marder, Condensed Matter Physics

  • L. Mihaly and M. C. Martin,Solid State Physics (2nd edition)

  • General interest

    S. Mahajan, Street-Fighting Mathematics
    the 1st edition of Mahajan's book is availablehere

    L. Weinstein, Guesstimation 2.0: Solving Today's Problem on the Back of a Napkin

    D. L. Maslov, Lecture notes on Qualitative Methods in Theoretical Physics
  • Syllabus

  • Preamble: History of Condensed Matter Physics and toy models of solids

  • Chapters 1-17, 19-29 of Ashcroft and Mermin

  • The reading plan for the next week will be posted each Friday.

  • Required work

    Homework          30 %
     Typically, bi-weekly
    Midterm                20 %
    Final(inclusive) 30%
     

    Research paper  20% due Nov 29

  • Class schedule

  • No classes
    Sept 02 (Labor Day)
    Nov 8 (UF Homecoming) 
    Nov 11 (Veterans Day)
    Nov 27-29 (Thanksgiving)

  • Last day of classes: Dec 4

  • Final exam: Dec 12, 12:30 p.m.-2:30 p.m.
  • Grading policy
    Here are guidelines for your final grade, as the percentage of the total number of points:
    85-100 A

    82-84  A-
    65-81 B/B+
    50-64 C/C+
    40-49 D/D+
    0-39 F
    Depending on the overall performance of the class, these numbers may be lowered but not raised.

  • "Units rule":
    an algebraic solution to each problem MUST be accompanied by the dimensional analysis of the result.
     

    Without such an analysis, you will get no more than 75% of the credit, even if the solution is otherwise correct. On the other hand, if you do not know how to solve the problem but construct an approximate result, using the dimensional analysis, you may get up to 25% of the credit
  • Academic Honesty
    All students are required to abide by the Academic Honesty Guidelines
    accepted by the University. 

    Consistent with university policy, any incident of academic dishonesty in this course will be reported to the Dean of Students Office. It is normal and reasonable for students in a Physics course to work together on homework assignments. However, following the normal practices of co-authorship accepted in academic institutions, yo must list all people who you collaborated with on a particular assignment. This Instructor defines academic dishonesty as plagiarism(including copying solutions from Internet sources), fabricating data (for example, ''fixing" a solution so that it gives the correct answer), giving or receiving any unauthorized assistance on academic work, and interfering with the academic work of other students. Supplying a false or fabricated excuse for missed academic work is also academic dishonesty. If the incident is the student's first offense at UF, the student will receive a reduced or failing grade in PHY6426. If not, the Dean of Students Office will decide the appropriate sanction.

  • Students with disabilities
    Students requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation.

  •  

    Solid State Physics Phy211A



    Course Syllabus pdf file

    Lecture notes
  • Lecture 1: Drude Theory of Metal (c.f. Ashcroft and Mermin Chap 1)
  • Lecture 2: Sommerfeld theory of Metal (c.f. Ashcroft and Mermin Chap 2)
  • Lecture 3: Hartree-Fock theory for interacting electron gas (c.f. Anderson, Concepts in Solids, Chapter 2. Section A). Second quantization: Sakurai and Napolitano, 2nd Edition Chapter 7)
  • Supplementary Material: More on second quantization.
  • Lecture 4: Crystal structure, Reciprocal Lattice, classification of lattices and point group symmetry (c.f. Ashcroft and Mermin Chap 4, 5 and 7).
  • Lecture 5: Bloch theory, Band structure, point group symmetry (c.f. Ziman, Principle of Solids, Chapter 1.4, 3.1, 3.2, 3.3; Ashcroft and Mermin Chapter 8 and 9 ).
  • Lecture 6: Density function theory and local density approximation.
  • Lecture 7: Tight binding model, psuedo-potential, etc (c.f. Ziman, Principole of Solids Chapter 3.4, 3.5, Ascroft and Mermin Chapter 10).
  • Read Ziman Chapter 2 Sect 2.1, 2.2, 2.4, 2.5 for a basic understanding of phonons
  • Lecture 8: Acoustic phonons - long-wave length method, elasticity
  • Lecture 9: Optical phonons - polariton, Huang's Equation.
  • Read Ziman' book Chapter 5 for Lect 10 and 11
  • Lecture 10: Interacting electrons beyond HF -- Lindhardt response, RPA, plasmon
  • Lecture 11: Interacting electrons beyond HF -- Screening
  • Lecture 12: Spin waves

  • Howework assignment
    Homework one: Ashcroft and Mermin: Problem 1.4 and 1.5 in Chapt 1, Due on Oct 5, on class . Solution posted on Oct 9..

    Homework two: Ashcroft and Mermin: Problem 2.1 and 2.2 (a), (b), (c) and (d) in Chapt 2, Due time Oct 17 in class . Solution posted on Oct 23 .

    Homework three: HF theory. . Due time Oct 31 in class . Solution posted on Nov 2. .

    Homework four: Crystals, band structure . Due time Nov 7 in class . Soultion Solution posted on Nov 17. .

    Midterm and Final

    Midterm posted on Nov 3 Due on Nov 11.
    Solution posted on Nov 18. .

  • Final projects featured article on physics today to be updated
    1. Atomic spins on surfaces, Page 42, March 2015
    2. Iron-based superconductors, seven years later, page 46, Jun 2015
    3. Two-dimensional Van der Waals materials, page 38, Sept 2016
    4. The graphene-semiconductor Schottky junction, page 46, Sept 2016
    5. Granular crystals: Nonlinear dynamics meets materials engineering, page 44, Nov 2015
    6. What every physicist should know about string theory, page 38 Nov 2015
    7. Topologial phases and quasiparticle braiding, page 38, July 2012
    8. Quantum optomechanics, page 29, July 2012
    9. Spin polarized supercurrents for spintronics, Jan 2011
    10. Quantum Criticality, page 29, Feb 2011.
    11. The nearly perfect Fermi gas, page 34, May 2010.
    12. The physics of boron nitride nanotubes, page 34, Nov. 2010
    13. The two-fluid theory and second sound in liquid heliuim, page 34, Oct. 2009.
    14. Graphene: Exploring carbon flatland, page 35, August 2007.
    15. Anderson localization of ultracold atoms page 30, August 2009. Fifty years of Anderson localization, page 24, August 2009. (These two papers are a good topic for team work together)
    16. Iron-based superconductors, page 36, August 2009.
    17. When fermions become bosons: pairing in ultra-cold gases, Oct. 2008.
    18. Probing physical properties at the nanoscale, June 2008.
    19. Phase-transition dynamics in the lab and the universe, page 47 Sept. 2007.
    20. The diverse world of liquid crystals, page 54, Sept. 2007.
    21. The quantum spin Hall effect and topological insulators, page 33, Jan. 2010.
    22. Polariton condensates, page 42, August 2010.








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    Last modified: Jan 7, 2010.

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