%0 Journal Article
%J Physical Review Letters
%D 2014
%T Kitaev chains with long-range pairing
%A Davide Vodola
%A Luca Lepori
%A Elisa Ercolessi
%A Alexey V. Gorshkov
%A Guido Pupillo
%X We propose and analyze a generalization of the Kitaev chain for fermions with long-range $p$-wave pairing, which decays with distance as a power-law with exponent $\alpha$. Using the integrability of the model, we demonstrate the existence of two types of gapped regimes, where correlation functions decay exponentially at short range and algebraically at long range ($\alpha > 1$) or purely algebraically ($\alpha < 1$). Most interestingly, along the critical lines, long-range pairing is found to break conformal symmetry for sufficiently small $\alpha$. This is accompanied by a violation of the area law for the entanglement entropy in large parts of the phase diagram in the presence of a gap, and can be detected via the dynamics of entanglement following a quench. Some of these features may be relevant for current experiments with cold atomic ions.
%B Physical Review Letters
%V 113
%8 2014/10/9
%G eng
%U http://arxiv.org/abs/1405.5440v2
%N 15
%! Phys. Rev. Lett.
%R 10.1103/PhysRevLett.113.156402