October 9, 2014
      
                  
        
  Author(s)
  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