Quantum phase transitions and Schmidt gap closing in a Kitaev chain with long-ranged interactions


The quantum phase diagram of a generalized Kitaev chain that exhibits long-ranged hopping and pairing is mapped out by looking for sharp changes in the Schmidt gap of a ground state bipartition.Finite-size scaling analysis reveals that the Schmidt gap exhibits universal scaling behavior about the quantum critical lines. The critical exponents found shows that the model displays different properties at the long- and short-range limits of the interaction.