Convocatoria ordinaria: orientaciones y renuncia

En los casos de emergencias sanitarias, que prohíben la enseñanza presencial, las clases se

impartirán utilizando las plataformas de Internet disponibles para un número suficiente de

estudiantes. Los exámenes se organizarán utilizando las mismas herramientas de internet.

Temario

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

Bibliografía

Bibliografía básica

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