Majorana bound states in d-wave superconductor planar Josephson junction
- URL: http://arxiv.org/abs/2307.15162v2
- Date: Tue, 7 Nov 2023 00:38:49 GMT
- Title: Majorana bound states in d-wave superconductor planar Josephson junction
- Authors: Hamed Vakili, Moaz Ali, Mohamed Elekhtiar, Alexey A. Kovalev
- Abstract summary: We study phase-controlled Josephson junctions comprising a two-dimensional electron gas with strong spin-orbit coupling and d-wave superconductors.
We show that a region between the two superconductors can be tuned into a topological state by the in-plane Zeeman field, and can host Majorana bound states.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: We study phase-controlled planar Josephson junctions comprising a
two-dimensional electron gas with strong spin-orbit coupling and d-wave
superconductors, which have an advantage of high critical temperature. We show
that a region between the two superconductors can be tuned into a topological
state by the in-plane Zeeman field, and can host Majorana bound states. The
phase diagram as a function of the Zeeman field, chemical potential, and the
phase difference between superconductors exhibits the appearance of Majorana
bound states for a wide range of parameters. We further investigate the
behavior of the topological gap and its dependence on the type of d-wave
pairing, i.e., d, d+is, or d+id', and note the difficulties that can arise due
to the presence of gapless excitations in pure d-wave superconductors. On the
other hand, the planar Josephson junctions based on superconductors with d+is
and d+id' pairings can potentially lead to realizations of Majorana bound
states. Our proposal can be realized in cuprate superconductors, e.g., in a
twisted bilayer, combined with the layered semiconductor Bi2O2Se.
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