Superconductor-like effects in an ac-driven normal Mott-insulating quantum dot array
Sanjeev Kumar, Vikram Tripathi
DOI 10.1103/PhysRevB.102.235147 · Physical Review B
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Abstract
We study the current response of an ac-driven dissipative Mott-insulator system, a normal quantum dot array, using an analytical Keldysh field-theory approach. Deep in the Mott-insulator regime, the nonequilibrium steady state (NESS) response resembles a resistively shunted Josephson array with a nonequilibrium Mott-insulating to conductor transition as the drive frequency Ω is increased. The diamagnetic component of the NESS in the conducting phase is anomalous, implying negative inductance, strikingly reminiscent of the η-pairing phase of a Josephson array with negative phase stiffness. However, in the presence of an additional dc field the signature of supercurrent—Shapiro steps—is completely absent. We interpret these properties as number-phase fluctuation effects shared with Josephson systems rather than superconductivity.
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