Project SonataBis
Macroscopic quantum effects, emergence, and quantum criticality in graphene and other Dirac systems
Principal Investigator: Prof. dr hab. Adam Rycerz
Project duration: 2015-2022
e-mail: adam.rycerz[at]uj.edu.pl
The principal aim of the project to understand, by developing the theoretical description starting from the effective Dirac (or Dirac-Weyl) Hamiltonian, the selected phenomena in graphene (or other Dirac systems), belonging to the class of macroscopic quantum effects. Such effects, binding directly measurable material characteristics to fundamental constants and principles of quantum mechanics, offer powerful lenses through which to view the physics of condensed-matter systems, and are usually associated with exotic states of matter, such as superconductivity, superfluidity, or quantum Hall liquids in strong magnetic fields. Graphene, together with other Dirac systems or materials, in which effective quasiparticles follow the Dirac rather then the Schroedinger equation, have already provided quite a few novel examples of macroscopic quantum effects. These examples, surprizingly, have extended the collection of emergent phenomena in physics, as the systems build of nonrelativistic elements (e.g. carbon atoms at normal conditions) turns out to host relativistic quasiparticles.
In particular, we plan to focus on the macroscopic quantum effects in above-mentioned systems which were recently predicted theoretically but not confirmed experimentally as yet, first in order to learn whether the existing theoretical studies can be extended such that several factors (e.g. disorder, lattice deformations, electron-electron interaction) relevant in the actual experimental situations, are properly taken into account. Also, we would like to develop a complete theoretical description for some particular nanosystems, such as Dirac quantum dots with electron-electron interactions, which have not been studied in a rigorous manner so far.
link:do strony projektu http://th.if.uj.edu.pl/~adamr/sonata.html