Softening of Majorana edge states by long-range couplings

Year: 2023

Authors: Tarantola A., Defenu N.

Autors Affiliation: Swiss Fed Inst Technol, Inst Theoret Phys, CH-8093 Zurich, Switzerland.

Abstract: The inclusion of long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point. By means of the scattering approach, we prove that the Majorana states soften, becoming increasingly delocalized at a universal rate which is only determined by the interaction range. This edge mechanism can be related to a change in the value of the bulk topological index at criticality, upon careful redefinition of the latter. The critical point turns out to be topologically akin to the trivial phase rather than interpolating between the two phases. Our treatment moreover showcases how various topological aspects of quantum models can be investigated analytically.

Journal/Review: PHYSICAL REVIEW B

Volume: 107 (23)      Pages from: 235146-1  to: 235146-13

More Information: The authors heartily thank Gian Michele Graf for various discussions and his valuable input on the critical bulk index and the emergence of algebraic decay as involution of exponentials. This research was funded in part by the Swiss National Science Foundation (SNSF) [200021_207537] . The support of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy Grant No. EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster) is also acknowledged.
KeyWords: Quantum Computation; Discrete Logarithms; Algorithms; Surface
DOI: 10.1103/PhysRevB.107.235146

Citations: 4
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