2017/09/30 by Yu-Hang Li, Jie Liu, Juntao Song +4 · 19 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Bessel function #Condensed matter physics #Hamiltonian (control theory) #Insulator (electricity) #Josephson effect #Mathematics #Microwave #Non-equilibrium thermodynamics #Optoelectronics #Physics #Physics of Superconductivity and Magnetism #Pi Josephson junction #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Superconductivity #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.97.045423
published in Physical review. B./Physical review. B 97(4) (American Physical Society) · 5 pages, 3 figures
openalex publication_date 2018/01/22 · arxiv created 2018/02/28 · arxiv updated 2018/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the transport properties of a superconductor--quantum spin Hall insulator--superconductor hybrid system in the presence of microwave radiation. Instead of adiabatic analysis or use of the resistively shunted junction model, we start from the microscopic Hamiltonian and calculate the d.c. current directly with the help of the nonequilibrium Green's function method. The numerical results show that (i) the I-V curves of background current due to multiple Andreev reflections exhibit a different structure from those in the conventional junctions, and (ii) all Shapiro steps are visible and appear one by one at high frequencies, while at low frequencies, the steps evolve exactly as the Bessel functions and the odd steps are completely suppressed, implying a fractional Josephson effect.