Course Hero Logo

The t 1 mode starts with a particle triplet oriented

Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e.g., in search results, to enrich docs, and more. This preview shows page 3 - 5 out of 5 pages.

Thet1 mode starts with a particle triplet oriented withtwo corners toward the interstitials. Before the intersti-tial wells are nucleated, the triplets undergo a rotation byπ/6 followed by the emission of a single particle into oneof the interstitial regions and the collection by a doubletwith the final formation of a triplet having the initial ori-entation. In contrast, thet2 mode starts with a particletriplet oriented with one corner between the interstitialsfollowed by a rotation byπ/6 and an emission of two par-ticles which simultaneously follow both types of intersti-tials towards the collector bubble. Thed2 andt3 modesare fully mobile transport modes where all particles hopfrom the emitter to the collector bubble and are foundfor magnetic fields higher thanHz>1200A/m, that dur-ing the antiparallel orientation also annihilate the bub-ble wells. The triplet rotation takes more time than theactual particle hopping. Thus, increasing the driving fre-quency allows us to freeze the rotational motion, givingrise to two period doubling modes,t12 andt23.Sincethe hopping inverts the orientation of the triplets, twocycles are required to restore the original triplet orienta-tion. For both modes, the number of particles hoppingduring the first and the second cycles are different, andthis gives rise to an average fractional current of 3/2 forthet12 mode and 5/2 for thet23 mode.In Fig.3(b) we show measurements of˜jas a function ofthe field amplitudeHzfor a particle density (˜ρ= 2.75)for which the dominant colloidal clusters in the bubblesare doublets and triplets.An increase ofHzleads toa superposition of doublet and triplet modes resultingin partially filled integer plateaus (˜ρ-N), fully occu-pied integer plateaus (N), and fractional partially filledplateaus (˜ρ-3/2).Fractional plateaus occur due toperiod-doubled modes where first an odd and secondlyan even number of particles are transported during the
4FIG. 4:(color online)(a) The polarizationPmeasured asa function of time without (squares) and with (circles) anadditional field along they-direction for thed1 mode.(b)Four microscopy images corresponding to the first cycle dou-blet storage (t= 1.25s), hopping in type down interstitial(t= 1.4s), second cycle doublet storage (t= 1.6s), and hop-ping in type up interstitial period (t= 1.75s).(c) The po-larization per unit cell measured as a function of time withthe field along they-direction for thet1 mode.(d) Fourmicroscopy images corresponding to the first cycle hoppingt= 0.5s, triplet storaget= 0.8s, and a similar second cycle.Hopping particles are marked in blue or red when movinginto an interstitial of type up or down, while particles storedin bubbles are marked in green, Moviead fig 4.AVI.

Upload your study docs or become a

Course Hero member to access this document

End of preview. Want to read all 5 pages?

Upload your study docs or become a

Course Hero member to access this document

Term
Spring
Professor
N/A
Tags
Magnetic Field

Newly uploaded documents

Show More

Newly uploaded documents

Show More

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture