Properties of topological insulators and superconductors under relativistic gravity
This work examines how general-relativistic spacetime curvature influences topological phases in the SSH model and a Kitaev superconducting wire. The topological boundary states remain robust and localized, but gravitational redshift shifts the SSH edge-state energy away from zero (breaking chiral symmetry), while Majorana zero modes stay pinned at zero energy. We identify a gravity-driven topological transition that can form a domain wall and relocate a boundary Majorana mode into the bulk.
This paper studies how a transmon qubit is influenced by a classical gravitational field. Using gravitational redshift and an Aharonov–Bohm–type phase, it predicts a universal dephasing rate for entangled states and describes the effect as a quantum-noise channel. It also proposes a phase-estimation-based measurement protocol and suggests superconducting qubits as precision sensors for local gravity and mechanical strain, with an estimated gravity sensitivity on the order of 10^-7 (fractional).
This work shows that odd-frequency superconducting pairing can emerge dynamically from relativity. Starting from a Dirac-based mean-field (relativistic BdG) description, we solve the Gor’kov equations and demonstrate that applying a Lorentz boost to an initially even-frequency gap generates odd-frequency components in the anomalous Green function. In the boosted frame the order parameter acquires both even- and odd-frequency terms, with the leading relativistic correction being purely odd in frequency, suggesting odd-frequency pairing may arise intrinsically in relativistic superconductors.