TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.4.080
TI  - Majorana edge states in Kitaev chains of the BDI symmetry class
PY  - 2023/11/16
UR  - https://scipost.org/SciPostPhysCore.6.4.080
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 4
SP  - 080
A1  - Bespalov, Anton
AB  - Majorana edge states in Kitaev chains possessing an effective time reversal symmetry with one fermionic site per unit cell are studied. For a semi-infinite chain the equations for the wave functions of Majorana zero modes can be reduced to a single Wiener-Hopf equation, which has an exact analytical solution. We use this solution to determine the asymptotic behaviors of the Majorana wave functions at large distances from the edge of the chain for several infinite-range models described in the literature with focus on a model with slow power-law falloff of pairing and hopping amplitudes. For these models we also determine the asymptotic behavior of the energy of the fermionic state composed of two Majorana modes in the limit of long (finite) Kitaev chains.
ER  -

@Article{10.21468/SciPostPhysCore.6.4.080,
	title={{Majorana edge states in Kitaev chains of the BDI symmetry class}},
	author={Anton Bespalov},
	journal={SciPost Phys. Core},
	volume={6},
	pages={080},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.4.080},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.4.080},
}