Moreover, from the oscillating
period in 1/B, the carrier density n is shown to be T-independent such that a slight decrease in R H at low T does not result from the enhancement of carrier density n. Instead, these results can be ascribed to e-e interactions. Figure 1 Temperature dependence. (a) Longitudinal and Hall selleck kinase inhibitor resistivities (ρ xx and ρ xy) as functions of magnetic field B at various temperatures T ranging from 0.3 to 16 K. The inset shows ρ xx(B = 0, T) at three applied gate voltages. (b) Hall slope R H as a function of T at each V g on a semi-logarithmic scale. Figure 2 Detailed results of ρ xx and ρ xy at low T . The B dependences of ρ xx and ρ xy at various T ranging NU7026 mouse from 0.3 to 1.5 K for (a) V g = −0.125 V, (b) V g =−0.145 V, and (c) V g = −0.165 V. The insets are the zoom-ins of low-field ρ xx(B). The dashed lines are the fits to Equation 4 at the lowest T. For comparison, the
results at the lowest T for each V g are re-plotted in (d). The T-independent points corresponding to the direct I-QH transition are indicated by vertical lines, and those for the crossings of ρ xx and ρ xy are denoted by arrows. Other T-independent points are indicated by circles. Figure 3 Converted σ xx ( B ) and σ xy ( B ) at various T ranging from 0.3 to 1.5 K. For (a) V g = −0.125 V, (b) V g = −0.145 V, and (c) V g = −0.165 V. The insets show σ xy(B) at T = 0.3 K and T = 16 K together with the fits to Equation 3
as indicated by the red lines. The vertical lines point out the crossings of σ xx and σ xy. Figure 4 ln (Δρ xx ( B , T )/ Tenoxicam D ( B , T )) as a function of 1/B . For (a) V g = −0.125 V, (b) V g = −0.145 V, and (c) V g = −0.165 V. The Luminespib nmr dotted lines are the fits to Equation 1. At first glance, the T-dependent R H, together with the parabolic MR in ρ xx (denoted by the dashed lines in Figure 2 for each V g), indicates that e-e interactions play an important role in our system. However, as will be shown later, the corrections provided by the diffusion and ballistic part of e-e interactions have opposite sign to each other, such that a cancelation of e-e interactions can be realized. Here we use two methods to analyze the contribution of e-e interactions. The first method is by fitting the measured ρ xx to Equation 4, as shown by the blue symbols in Figure 5, from which we can obtain both and . The value of is shown to be negative, as a result of the observed negative MR. We can see clearly from the dashed line in Figure 2 that the parabolic MR fits Equation 4 well at B > B c but that it cannot be extended to the field where SdH oscillations occur.