Schematic picture of a hairpin-structured RNA where bases are paired in the ladder sector, unpaired in the ring and in the side chains . The right figures are shown to illustrate effective-flux configurations in the ladder with the twisted ring bonds.
(Color online) The transmission vs energy (lower panel) and current [in units of ]-voltage curves (upper panel) for the ladder and the hairpin (see the schematics in the upper panel). We take 30 base pairs for the ladder, , , for the hairpin, and . The band parameters used throughout this paper are , , . The blue curves are for and the red curves for .
(Color online) The current vs magnetic flux at a given voltage bias for hairpins in different configurations with : (a) and ; (b) and ; (c) and with (red lines), (blue lines), and (green lines).
The persistent currents vs flux. The upper panel shows the PC of the hairpins (, ) with different number of bases in the loop, (solid line), (dot-dashed line), (dashed line), and (dotted). While the oscillation is periodic in , the amplitude decreases as the loop size increases. In the inset, we show that the curves coalesce when using a scaling . The lower panel displays simple harmonic oscillations of PC for , , and (solid line), obtained by changing the ladder size (dotted, dashed, dot-dashed, respectively). The inset shows the fits according to Eq. (11) for and .
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