We present designs for multipole ion traps based on a set of planar, annular,concentric electrodes which require only rf potentials to confine ions. Weillustrate the desirable properties of the traps by considering a few simplecases of confined ions. We predict that mm-scale surface traps may have trapdepths as high as tens of electron volts, or micromotion amplitudes in a 2-Dion crystal as low as tens of nanometers, when parameters of a magnitude commonin the field are chosen. Several example traps are studied, and the scaling ofthose properties with voltage, frequency, and trap scale, for small numbers ofions, is derived. In addition, ions with very high charge-to-mass ratios may beconfined in the trap, and species of very different charge-to-mass ratios maybe simultaneously confined. Applications of these traps include quantuminformation science, frequency metrology, and cold ion-atom collisions.
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