In-Plane Magnetodrag between Dilute Two-Dimensional Systems

We performed in-plane magnetodrag measurements on dilute double layer two-dimensional hole systems, at in-plane magnetic fields that suppress the apparent metallic behavior, and to fields well above those required to fully spin polarize the system. When compared to the single layer magnetoresistance, the magnetodrag exhibits exactly the same qualitative behavior. In addition, we have found that the enhancement to the drag from the in-plane field exhibits a strong maximum when both layer densities are matched.

Figure 1

In-plane magnetotransport data for $p_m=2.15\times {10}^{10}{\mathrm{c}\mathrm{m}}^{-2}$ at $T=80$, 175, 250, and 400 mK. (a) Inset: $\rho$ vs $B_{\parallel }$. $B_c$ and $B^{*}$ are indicated by the arrow and the dashed line, respectively. Main plot: Data from inset normalized by its $B_{\parallel }=0$ value. (b) Inset: Corresponding data for ${\rho }_D$ vs $B_{\parallel }$. Main plot: Data from inset normalized by its $B_{\parallel }=0$ value.

Figure 2

$\rho$ and ${\rho }_D$ vs $B_{\parallel }$ at $T=80\mathrm{m}\mathrm{K}$ for different densities. (a) Inset: $\rho$ vs $B_{\parallel }$ for (from bottom to top) $p=3.25$, 2.15, 1.75, 1.5, and $1.2\times {10}^{10}{\mathrm{c}\mathrm{m}}^{-2}$. Main plot: Data from inset normalized by its $B_{\parallel }=0$ value. (b) Inset: ${\rho }_D$ vs $B_{\parallel }$ for (from bottom to top) $p_m=2.15$, 1.75, 1.5, and $1.2\times {10}^{10}{\mathrm{c}\mathrm{m}}^{-2}$. Main plot: Data from inset normalized by its $B_{\parallel }=0$ value. Density for each trace is indicated in the legend.

Figure 3

${\rho }_D$ vs $p_{\mathrm{d}\mathrm{r}\mathrm{i}\mathrm{v}\mathrm{e}}$, for $p_{\mathrm{d}\mathrm{r}\mathrm{a}\mathrm{g}}=2.15\times {10}^{10}{\mathrm{c}\mathrm{m}}^{-2}$, at $T=300\mathrm{m}\mathrm{K}$. The curves are, from top to bottom, for $B_{\parallel }=14$, 10, 5.3, 3, 2, and 0 T. Inset: Same data scaled by the dependence at $B_{\parallel }=0$. From top to bottom, the curves are for $B_{\parallel }=14$, 10, 5.3, 3, and 2 T. In both, matched density is indicated by the dashed line.