Impact of an elliptical Fermi surface deformation on the energy of a spinless two-dimensional electron gas
We study the effects of an elliptical Fermi surface deformation on the energy of a two-dimensional electron gas. We consider a standard model for fully spin-polarized (spinless) electrons embedded in a uniformly charged neutralizing jellium background and treat the system in the thermodynamic (bulk) limit. We calculate exactly the energy changes of the system as a function of a parameter that gauges the elliptic deformation of the Fermi surface. The results obtained give insight on various scenarios and competing tendencies that may arise in such a system in presence of some form of internal anisotropy originating from factors such as electron's anisotropic effective mass, anisotropic interaction potential or both.
Ciftja, O. (2019). Impact of an elliptical Fermi surface deformation on the energy of a spinless two-dimensional electron gas. Retrieved from https://digitalcommons.pvamu.edu/chemistry-physics-facpubs/164