Electron transport through a two-dimensional array of quantum dots

Electronic states in antidot lattices: Scattering-matrix formalism

“…They are the quenching of the Hall effect, 1 Al'tshuler-Arono "v-Spivak oscillation near Bϳ0, [2][3][4] and the so-called localized peaks in the magnetoresistance. 1 In magnetic fields corresponding to localized peaks, the classical electron trajectory becomes commensurate with the antidot period and encircles a specific number of antidots.…”

Commensurability magneto-resistance peaks in a lattice of diffusive scatterers

“…1(a)). In experiments [1][2][3][4][5], the two CPs are usually observed for lattices with a¡d=2. They correspond to the condition 2R c =d and 2R c = 3d.…”

“…In this case, an electron moves ballistically between antidots and then scatters specularly on them. It is well known that in magnetic ÿelds antidot lattice demonstrates the so-called commensurability oscillations more exactly peaks [1][2][3][4][5] corresponding to di erent ratios between the cyclotron radius R c and the lattice period d. At the moment there are two models for the explanation of the commensurability peaks (CPs). The so-called pin-balled model [2] and runway trajectories model [6].…”

Theory of quantum transport in mesoscopic systems: antidot lattices

“…AAS oscillations have been observed also in antidot lattices [3][4][5][6]. Figure 19 shows an example [6].…”

“…They are quenching of the Hall effect [1,2], Altshuler-Aronov-Spivak oscillation near vanishing field [3][4][5][6], so-called commensurability peaks in the magnetoresistance [1,[7][8][9][10][11][12][13][14][15][16], and fine oscillations around them [17,18].…”