TY - JOUR
T1 - Kitaev chains with long-range pairing
JF - Physical Review Letters
Y1 - 2014
A1 - Davide Vodola
A1 - Luca Lepori
A1 - Elisa Ercolessi
A1 - Alexey V. Gorshkov
A1 - Guido Pupillo
AB - 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.
VL - 113
UR - http://arxiv.org/abs/1405.5440v2
CP - 15
J1 - Phys. Rev. Lett.
U5 - 10.1103/PhysRevLett.113.156402
ER -