Zero modes of the Kitaev chain with phase-gradients and longer range couplings

Iman Mahyaeh, Eddy Ardonne
2018 Journal of Physics Communications  
We present an analytical solution for the full spectrum of Kitaev's one-dimensional p-wave superconductor with arbitrary hopping, pairing amplitude and chemical potential in the case of an open chain. We also discuss the structure of the zero-modes in the presence of both phase gradients and next nearest neighbor hopping and pairing terms. As observed by Sticlet et al., one feature of such models is that in a part of the phase diagram, zero-modes are present at one end of the system, while
more » ... system, while there are none on the other side. We explain the presence of this feature analytically, and show that it requires some fine-tuning of the parameters in the model. Thus as expected, these 'one-sided' zero-modes are neither protected by topology, nor by symmetry.
doi:10.1088/2399-6528/aab7e5 fatcat:ivoom2muijcu3isoub4ooaxivm