Experimental evidence for a surface distribution of two-level systems in superconducting lithographed microwave resonators

Physics – Condensed Matter – Superconductivity

Scientific paper

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3 figures, submitted to APL

Scientific paper

10.1063/1.2906373

We present measurements of the temperature-dependent frequency shift of five niobium superconducting coplanar waveguide microresonators with center strip widths ranging from 3 $\mu$m to 50 $\mu$m, taken at temperatures in the range 100-800 mK, far below the 9.2 K transition temperature of niobium. These data agree well with the two-level system (TLS) theory. Fits to this theory provide information on the number of TLS that interact with each resonator geometry. The geometrical scaling indicates a surface distribution of TLS, and the data are consistent with a TLS surface layer thickness of order a few nm, as might be expected for a native oxide layer.

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