## Fermionic Shadow Wavefunction Variational calculations of the vacancy formation energy in $^3$He

Dandrea, L.
Pederiva, F.
Gandolfi, S.
Kalos, M. H.
##### Description
We present a novel technique well suited to study the ground state of inhomogeneous fermionic matter in a wide range of different systems. The system is described using a Fermionic Shadow wavefunction (FSWF) and the energy is computed by means of the Variational Monte Carlo technique. The general form of FSWF is useful to describe many--body systems with the coexistence of different phases as well in the presence of defects or impurities, but it requires overcoming a significant sign problem. As an application, we studied the energy to activate vacancies in solid $^3$He.
Comment: 4 pages, 2 figures
##### Keywords
Condensed Matter - Other Condensed Matter