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

Abstract

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.

4 pages, 2 figures

References in corpus (3)

• Twist-averaged Boundary Conditions in Continuum Quantum Monte Carlo
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Solid 4He and the Supersolid Phase: from Theoretical Speculation to the Discovery of a New State of Matter? A Review of the Past and Present Status of Research

Cited by in corpus (3)

• On the Sign Problem of the Fermionic Shadow Wave Function
• On the Fermion Sign Problem in Imaginary-Time Projection Continuum Quantum Monte Carlo with Local Interaction
• Metal-Insulator Transition of Solid Hydrogen by the Antisymmetric Shadow Wave Function