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Kitaev chains with long-range interactions



Davide Vodola, Luca Lepori, Elisa Ercolessi, Alexey Gorshkov, Guido Pupillo


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 one of the two critical lines, long-range pairing is found to break conformal symmetry for $\alpha \leq 3/2$. This is accompanied by the 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.
Physical Review Letters


Kitaev wire, topological, Majorana, long-range


Vodola, D. , Lepori, L. , Ercolessi, E. , Gorshkov, A. and Pupillo, G. (2014), Kitaev chains with long-range interactions, Physical Review Letters, [online],, (Accessed May 25, 2024)


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Created October 8, 2014, Updated October 12, 2021