Edge states of the long-range Kitaev chain: An analytical study

We analyze the properties of the edge states of the one-dimensional Kitaev model with long-range anisotropic pairing and tunneling. Tunneling and pairing are assumed to decay algebraically with exponents \ensuremath{\alpha}and \ensuremath{\beta} respectively, and \ensuremath{\alpha},\ensuremath{\beta}>1 We determine analytically the decay of the edge modes. We show that the decay is exponential for...