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

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

2009-06-08

arxiv.org/abs/0906.1498v1

Phys. Rev. Lett. 102, 255302 (2009)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.102.255302

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.

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