Methods of Field Theories applied to supersymmetrical models of interest to solid state physics.

Group Members:

• Dr. Oscar Zandron
  Group Director
Reserchers:
• Dr. Andres Greco
  Researcher
• Dra. Adriana Foussats
  Researcher
• Dr. Edmundo Manavella
  Researcher
• Dr. Carlos Repetto
  Researcher
• Dr. Oscar P.Zandron
  Researcher

Financing Institution: CONICET (National Council of Scientific and Technical Research)

Summary

The researches carried out up to now are continued, where we propose the use of methods and techniques developed in the Field Theory with the purpose of interpreting and solving problems appearing in the models of interest to Solid State Physics and Statistical Mechanics. To attain this goal we will use Dirac’s Hamiltonian method for bound systems, and Faddeey-Jackiw’s simpletic Lagrangian method. Moreover, we propose to analyse the physics contained in t-J model. We will analyse the supersymmetric Lagrangians describing the non-linear sigma model and we will relate it to the continuum limit of t-J model. Finally, we will work with Lagrangian formalisms that describe supersymmetric models for anions and their couplings in a 2+1-dimension. We will take into account not only the theoretical importance of anions but also the applications that tend to explain the phenomenology of Hall’s fractional quantum effect.