General information
The project aims to study the effects of local geometry, topology and edges on the properties of 2D materials. The investigations will be done within the framework of effective relativistic field theories describing the long-wavelength properties of the phononic and electronic degrees of freedom. Well known examples are graphene family materials described by the Dirac model. As physical characteristics, the mean field squared, the fermionic condensate, the expectation values of the current density and energy-momentum tensor will be considered. The dependence of those characteristics on the local geometry, on the magnetic flux, on the periodicity conditions along compact dimensions and on the boundary conditions imposed on the edges will be investigated.
The effects of finite temperature on those characteristics will be studied. Apart from technological applications, the results obtained within the framework of the proposed project will serve as a toy model for the investigation of the influence of nontrivial topology of the space and of the gravitational field on quantum matter.
