Abstract
Odd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered. Of course, staggering in nuclear binding energies is a well established fact. Similar effects are detected in other finite fermion systems as well, as for example, ultra small metallic grains and metal clusters. We work in this effort with the above-mentioned Lipkin-like, two-level fermion model and show that statistical staggering effects can be detailedly explained by recourse to a straightforward analysis of the associated energy-spectra.
Highlights
A well known fermion phenomenon is odd-even statistical staggering
The ensuing odd-even differences were incorporated [6] into an order–disorder environment that has as a protagonist the so-called statistical complexity concept [7], where “order” is produced by the fermion–fermion interaction while disorder is generated by the temperature T
The Lipkin Model (LM) [8] was very useful in research that revolved around the validity and/or usefulness of several theoretical techniques devised for investigating the multiple facets of the fermion many-body problem
Summary
A well known fermion phenomenon is odd-even statistical staggering It is found in few (not necessarily nuclear) fermion systems. We will deal below with an exactly solvable (interacting) fermions-model of the Lipkin kind that does not appeal to pairing interactions This is relevant as paring forces are believed to be responsible for the effect in nuclei [3]. We will see below that the staggering effect is translated from the energy (in the nuclear instance) to thermal quantifiers like the statistical complexity or the entropy. Enough, it manifests itself in the variation of the mean energy with the temperatures, i.e., the specific heat.
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