Effect of a fermion on quantum phase transitions in bosonic systems

TL;DR

This paper investigates how a fermion influences quantum phase transitions in bosonic systems, showing it significantly alters transition points and characteristics, with experimental evidence from odd-even nuclei supporting these findings.

Contribution

It introduces the impact of a fermion on quantum phase transitions in (s,d) bosonic systems, highlighting modifications in critical behavior and transition nature.

Findings

Fermions significantly modify critical transition points.

Presence of a fermion alters the nature of quantum phase transitions.

Experimental evidence from odd-even nuclei supports theoretical predictions.

Abstract

The effect of a fermion with angular momentum j on quantum phase transitions of a (s,d) bosonic system is investigated. It is shown that the presence of a fermion strongly modifies the critical value at which the transition occurs, and its nature, even for small and moderate values of the coupling constant. The analogy with a bosonic system in an external field is mentioned. Experimental evidence for precursors of quantum phase transitions in bosonic systems plus a fermion (odd-even nuclei) is presented.