A doubly-periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations

Details A doubly-periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations A doubly-periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations

2010-05-13

arxiv.org/abs/1005.2235v2

Phys.Rev.C84:032801,2011

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.84.032801

We present a method that offers perspectives to perform fully antisymmetrized simulations for inhomogeneous bulk fermion matter. The technique bears resemblance to classical periodic boundary conditions, using localized single-particle states. Such localized states are an ideal tool to discuss phenomena where spatial localization plays an important role. The antisymmetrisation is obtained introducing a doubly-periodic structure in the many-body fermion wave functions. This results in circulant matrices for the evaluation of expectation values, leading to a computationally tractable formalism to study fully antisymmetrized bulk fermion matter. We show that the proposed technique is able to reproduce essential fermion features in an elegant and computationally advantageous manner.

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