Prof.: José Abel Hoyos Neto
Room 29, Block F1 2nd floor
Contact: hoyos@ifsc.usp.br

Where: Anfiteatro Novo
When: Wednesdays and Fridays, 4-6pm

Office hours: free

Description: The purpose of this course is to introduce the main phenomena of current research interest in the field of condensed matter. To this end, many topics will be approached via the most established and cellebrated theories.

Syllabus:

• Crystal structure
• Band theory
  • Tight binding
  • Bloch electrons and semiclassical dynamics
• Semiconductors
  • pn junctions, transistors and field-effect transistors
• Electron-electron interaction and second quantization
  • Hartree-Fock
  • Screening
  • Quasiparticles
  • DFT
• Diamagnetism and paramagnetism
  • Hund's rules
  • Curie law
  • Pauli paramagnetism
• Ferro and antiferromagnetism and itinerant magnetism
  • Heisenberg, Hubbard and Stoner models
  • Magnons
  • Mean field theory
• Superconductivity
  • Phonon induced electron-electron interaction
  • Cooper pairs
  • BCS theory
  • Meissner effect
  • Josephson junction

Bibliography:

• C. Kittel, Introduction to Solid State Physics
• C. Kittel, Quantum Theory of Solids
• N. W. Ashcroft and N. D. Mermin, Solid State Physics
• A. Altland and B. Simons, Condensed Matter Field Theory
• O. Madelung, Introduction to Solid-State Theory
• P. L. Taylor & O. Heinonen, A Quatum Approach to Condensed Matter Physics

Further details: see USP Janus system

Exams:

Written Exam + List of Exercises + Project & Seminar + Individual Studies

Final grade:

FG = 30% LE + 30% IS + 20% WE + 20% P&S

Grade equivalence:

09 - 10: A
07 - 09: B
05 - 07: C
00 - 05: D

Last update: 07/29

Written Exam: 06/26
Project choice: due to 03/04
Project: due to 06/12

Project suggestions: (you may propose other subjects upon my approval)

Anderson localization
Topological insulators
Integer Quantum Hall effect
Graphene
DFT
CDW
Fermi liquids
Polarons

Tentative schedule

03/11 - Crystal structure: Bravais lattice; X-ray diffraction
03/13 - Second quantization

03/18 - Second quantization
03/20 - Bogoliubov's theory for superfluid

03/25 - Bloch theorem; Energy bands; Tight-binding: LCAO e OPW; Wannier functions; Bloch oscillations
03/27 - Boltzmann equation: elastic scattering by impurities; Electric conductivity tensor

04/01 - Hartree-Fock; Jellium model; Jellim model thermodynamics; Screening; Thomas-Fermi approximation
03/04 - Screening in the Lindhard approximation; Friedel oscillations

04/08 - Plasmons
04/10 - Holiday (Good Friday)

04/15 - Fermi liquid theory and quasi-particles
04/17 - Fermi liquid theory and the phenomenological parameters

04/22 - DFT; LDA
04/24 - Hund's rules; Diamagnetism; Curie law; Pauli paramagnetism

04/29 - Stoner model: ferromagnetism
05/01 - Holiday (Labor day)

05/06 - No class (due to electric power problems)
05/08 - Stoner model: Antiferromagnetism (and other magnetic orders); Fermi surface nesting

05/13 - Hubbard model: Mott insulator, Antiferromagnetism and the Heisenberg model
05/15 - Heisenberg model: magnons (FM case)

05/20 - Magnons (AFM case); Stoner continuum, Mean field theory (Ising model)
05/22 - Lattice vibration; Normal modes quantization: phonons

05/27 - Debye model (specific heat); Effective electron-electron interaction (resistivity, Peierls transition, dielectric function)
05/29 - Superconductivity: phenomenology and London equation; Meissner effect; Cooper pairs

06/03 - Cooper pairs; BCS Hamiltonian: mean field and thermodynamics
06/05 - Review

06/10 - Review
06/12 - Holiday (Corpus Christi)

06/17 - Seminar
06/19 - Seminar

06/24 - Review
06/25 - Written Exam