Ordinary call: orientations and renunciation

In the event that the sanitary conditions prevent a face-to-face evaluation,

an on-line evaluation will be activated and the students will be informed promptly.

Temary

FIRST PART



- Band structure and relativistic effects in solids. Spin-orbit coupling, spin

relaxation and spin transport.



- Two-dimensional structures and integer quantum Hall effect. Graphene as a

single-layer two-dimensional material.



- Quantum wires: conductance and conductivity, Landauer theory of onedimensional quantum transport.



- Quantum dots: zero-dimensional quantum systems and as spin-based qubits.



- Electric dipole spins resonance and spin manipulation by electric field.



Second Part:



SECOND PART



- Review of electronic structure theory: We will review the main features of

band theory that we will apply for topological characterization.



- Adiabatic perturbation theory.



- Introduction to topology: Berry and Zak phase and the Chern theorem.



- Chiral anomaly and magnetoelectric response.

Bibliography

Basic bibliography

Part I



Y. Imry, Introduction to Mesoscopic Physics (Mesoscopic Physics and Nanotechnology, 2)

I. Žutić, J. Fabian, and S. Das Sarma, Spintronics: Fundamentals and applications, Rev. Mod. Phys. 76, 323 (2004).

N.W. Ashcroft and D. Mermin, Solid State Physics, Saunders College, 1976.



Part II



D. Vanderbilt, Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators, Cambridge University Press, 2018.

S. H. Simon, The Oxford Solid State Basics, Oxford University Press