1st semester of 2020

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

"I hear things, and I forget them.

I see things, and I remember them.

I do things, and I understand them."

List #1 (due to 03/20 at 4pm)

List #2 (due to 04/08 at 4pm)

List #3 (due to 04/29 at 4pm)

List #4 (due to 05/15 at 4pm)

List #5 (due to 06/17 at 4pm)

List #6 (due to 07/24 at 4pm)

I see things, and I remember them.

I do things, and I understand them."

-- Attributed to Confucius

List #1 (due to 03/20 at 4pm)

List #2 (due to 04/08 at 4pm)

List #3 (due to 04/29 at 4pm)

List #4 (due to 05/15 at 4pm)

List #5 (due to 06/17 at 4pm)

List #6 (due to 07/24 at 4pm)

Last update: 07/29

# USP |
Lista1 |
Lista2 |
Lista3 |
Lista4 |
Lista5 |
Lista6 |
EI |
Projeto |
Prova |
NF |
Situação |

11740351 | 7,0 | 9,0 | 9,6 | 9,8 | 9,7 | 8,9 | 9,5 | 9,0 | 5,3 | 8,4 | A |

11740386 | 7,3 | 9,2 | 9,7 | 9,8 | 9,5 | 9,2 | 9,5 | 9,2 | 5,8 | 8,6 | A |

**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

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