Interactions and Low-Dimensional Systems

Period: First        ECTS: 6


Interactions and low-dimensional systems in Condensed Matter Physics

1.    An introduction to low-dimensional systems.

  • Two-dimensional systems: 2DEG, graphene, 2D crystals, etc.
  • One-dimensional systems: Quantum points contacts, atomic chains, nanowires, carbon nanotubes, etc.
  • Zero-dimensional systems: Quantum dots, nanocrystals, molecules.

2.    Electronic quantum transport.

  • Landauer formalism.
  • Conductance quantization.
  • Quantum tunneling: Scanning tunneling microscope, field emission.
  • Resonant tunneling: Quantum wells, quantum dots.
  • Coulomb Blockade and Kondo effect: Phenomenology

3.    Experimental techniques.

  • STM.
  • Nanolithography.
  • Break junctions (MCBJ or STM) in vacuum or solution.
  • Nanolithography+ Electromigration+MCBJ.
  • Mechanical exfoliation

4.    Advanced theoretical/computational techniques: Quantum Transport

  • Scattering formalism: Mode matching technique
  • Green’s functions.

5.    Advanced theoretical/computational techniques: Interactions

  • Review of second quantization formalism
  • Configuration Interaction
  • Density functional theory.

6.    A few important models

  • The Anderson model
  • The Stoner model



  • P. Phillips, Advanced Solid State Physics, Cambridge University Press, 2012
  • Supriyo Datta, Quantum Transport, Cambridge University Press, 2007
  • G. D. Mahan, Condensed Matter in a Nutshell, Princeton University Press, 2011


Coordinator  Juan Jose Palacios

More info on the course official guide (Guía docente)