Dynamical Conductivity across the Disorder-Tuned Superconductor-Insulator Transition
Mason Swanson, Yen Lee Loh, Mohit Randeria, Nandini Trivedi
DOI 10.1103/PhysRevX.4.021007 · Physical Review X
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Abstract
We calculate the dynamical conductivity σ(ω) and the bosonic (pair) spectral function P(ω) from quantum Monte Carlo simulations across clean and disorder-driven superconductor-insulator transitions (SITs). We identify characteristic energy scales in the superconducting and insulating phases that vanish at the transition due to enhanced quantum fluctuations, despite the persistence of a robust fermionic gap across the SIT. Disorder leads to enhanced absorption in σ(ω) at low frequencies compared to the SIT in a clean system. Disorder also expands the quantum critical region, due to a change in the universality class, with an underlying T=0 critical point with a universal low-frequency conductivity σ*≃0.5(4e2/h).
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