Topological defect states and phase transitions in mesoscopic superconducting squares with Rashba spin–orbit interaction

Chai, Rui-Feng; Zha, Guo-Qiao

doi:10.1140/epjb/s10051-022-00369-y

Cited by 2 publications

(2 citation statements)

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“…5(a2)-(a4)). In this situation, the mixed s-and d-wave condensates may favor the phase difference ±π/2, forming the s ± id-wave state with time-reversal symmetry breaking [32,33,39]. Note that, in order to interpret the states with nonzero but very small energies as Majoranas or not, a criterion of the Majorana polarization (which is an equivalent of the LDOS) may be very useful for fully open systems [44].…”

Section: The Model and Formulas -The Effective Mean-fieldmentioning

confidence: 99%

“…By further considering the spin correlation, novel evolution of spin-polarized currents can be obtained in mesoscopic superconducting loops [38]. For the coexistence of the d-wave and s-wave gaps, the higher-order topological phase may develop as the Rashba SO coupling is introduced into the two-dimensional mesoscopic superconducting system, accompanied with the occurrence of novel topological defect states and zero-energy modes [39]. However, how the topological superconducting phases induced by the Zeeman exchange field manifest and evolve for such Rashba systems with spin correlations has remained unaddressed.…”

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confidence: 99%

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Topological phases and tunable Majorana zero modes in Rashba superconducting systems in the presence of Zeeman field

Xie¹,

Zha²

2023

EPL

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In the framework of the extended Bogoliubov-de Gennes theory, topological phase transitions and Majorana zero modes are investigated by diagonalizing the tight-binding model Hamiltonian for two-dimensional superconducting systems with Rashba spin-orbit coupling and spin correlations when the eﬀect of Zeeman ﬁeld is involved. With increasing the Zeeman-ﬁeld strength, the ﬁrst-order topological superconductivity and chiral Majorana edge modes may develop for the long Rashba superconducting stripe under appropriate chemical potential. Moreover, the second-order topological phase can be found for the Rashba loop-frame geometry. Relying on the chosen chemical potential near half ﬁlling, Majorana zero-energy states located at corners of the square loop are more feasible in the weak exchange-ﬁeld regime. Particularly, the transitions between Majorana edge and corner modes can take place in the loop system when the ﬁeld strength is varied. In addition, the number and location of robust Majorana corner modes are highly sensitive to the introduced surface defects. Our theoretical predictions may provide useful guidance for observing and tuning Majorana zero modes in future experiments and applications.

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Section: The Model and Formulas -The Effective Mean-fieldmentioning

confidence: 99%

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confidence: 99%