Quantum phase transitions in fully connected spin models: an   entanglement perspective
  We consider a set of fully connected spins models that display first- or second-order transitions and for which we compute the ground-state entanglement in the thermodynamical limit. We analyze several entanglement measures (concurrence, R\'enyi entropy, and negativity), and show that, in general, discontinuous transitions lead to a jump of these quantities at the transition point. Interestingly, we also find examples where this is not the case. 
M. Filippone, S. Dusuel, J. Vidal
cond-mat.stat-mech quant-ph