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Bulletin of the American Physical Society

Multiple signatures of topological phase transitions in a finite superconducting nanowire with intrinsic interactions

Yang‐Hao Chan, Ching‐Kai Chiu, Kuei Sun

Published Mar 4, 2015• 0 citations
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Optoelectronic devices and integration. Conference•Oct 15, 2021•1 citation
We study one-component fermions in chain lattices with proximity-induced superconducting gap and interparticle short-range interaction, capable of hosting Majorana fermions. By systematically tracking various physical quantities, we show that topological states and topological phase transitions in the system can be identified by multiple signatures in thermodynamic quantities and pair-condensate properties, in good agreement with the known signatures in the ground-state energy and entanglement spectrum. We find the disappearance of the topological phase in a largely attractive regime, in which the system undergoes a first-order transition between two topologically trivial states. In addition, the stability of the signatures against finite size, disorder, and inhomogeneity is analyzed. Our results provide additional degrees of freedom for the characterization of topological states with interaction and for the experimental detection of emergent Majorana fermions.
In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the topological transition, even in finite-size systems. Spatial symmetries are argued to play a fundamental role in the selection of the boundary conditions to be used to locate topological transitions in finite systems. We discuss the theoretical implications of these results, and utilize exact diagonalization to demonstrate its manifestations in the Haldane-Fermi-Hubbard model. Our findings provide an efficient way to detect topological transitions in experiments and in numerical calculations that cannot access the ground-state wave function.
The intrinsic mechanism of absorbing photons in superconductors reveals the interaction between photons and Cooper pairs, which is of great significance for developing new superconducting nanowire single photon detectors (SNSPDs). Here we propose a photon-assisted phase slip model to describe the interaction mechanism between photons and superconductors. In this model, incident photons destroy large quantities of Cooper pairs and reduce the free-energy barrier of the phase slip, resulting in proliferation in the phase slip events and leading to superconducting transition. The switching rates from the superconducting state of a niobium nitride nanowire under various photon irradiation and temperatures are calculated through the distribution of switching currents in the experiment. The experimental data can be well fitted by our deduced expression of phase slip rate after eliminating the influence of external noise.