Second-order bulk-boundary correspondence in rotationally symmetric topological superconductors from stacked Dirac Hamiltonians

E Roberts, J Behrends, B Béri - Physical Review B, 2020 - APS
Two-dimensional second-order topological superconductors host zero-dimensional
Majorana bound states at their boundaries. In this work, focusing on rotation-invariant …

Unconventional Majorana fermions on the surface of topological superconductors protected by rotational symmetry

J Ahn, BJ Yang - Physical Review B, 2021 - APS
Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap
states on their boundaries. In conventional three-dimensional topological superconductors …

Direct demonstration of bulk-boundary correspondence in higher-order topological superconductors with chiral symmetry

X Zhu - Physical Review B, 2024 - APS
A higher-order topological superconductor can experience topological phase transitions
driven by variations in a bulk parameter without closing the bulk gap. This presents a …

Weak-pairing higher order topological superconductors

Y Wang, M Lin, TL Hughes - Physical Review B, 2018 - APS
Conventional topological superconductors are fully gapped in the bulk but host gapless
Majorana modes on their boundaries. We instead focus on a new class of superconductors …

Higher-order topological superconductors characterized by Fermi level crossings

H Wang, X Zhu - Physical Review B, 2023 - APS
We demonstrate that level crossings at the Fermi energy serve as robust indicators for
higher-order topology in two-dimensional superconductors of symmetry class D. These …

Quadrupole spin polarization as signature of second-order topological superconductors

K Plekhanov, N Müller, Y Volpez, DM Kennes… - Physical Review B, 2021 - APS
We study theoretically second-order topological superconductors characterized by the
presence of pairs of zero-energy Majorana corner states. We uncover a quadrupole spin …

Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields

X Zhu - Physical Review B, 2018 - APS
A two-dimensional second-order topological superconductor exhibits a finite gap in both
bulk and edges, with the nontrivial topology manifesting itself through Majorana zero modes …

Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly

S Kobayashi, A Furusaki - Physical Review B, 2020 - APS
The interplay of time-reversal and n-fold rotation symmetries (n= 2, 4, 6) is known to bring a
new class of topological crystalline insulators (TCIs) having n surface Dirac cones due to a …

Higher-order topological superconductors based on weak topological insulators

XJ Luo, XH Pan, X Liu - Physical Review B, 2021 - APS
Higher-order topological phases host robust boundary states at the boundary of the
boundary, which can be interpreted from their boundary topology. In this work, we show that …

Classification of two-dimensional topological crystalline superconductors and Majorana bound states at disclinations

WA Benalcazar, JCY Teo, TL Hughes - Physical Review B, 2014 - APS
We classify discrete-rotation symmetric topological crystalline superconductors (TCS) in two
dimensions and provide the criteria for a zero-energy Majorana bound state (MBS) to be …