Table 1 Samples used in this study

From: Scalable Sondheimer oscillations driven by commensurability between two quantizations

Sample

d × w × l (μm3)

ΔBMR (T)

ΔBHall (T)

ρ0 (nΩ cm)

\(\overline{s}=\sqrt{w\times d}\) (μm)

0 (μm)

μ (m2/V s)

#1

(12.6 ± 0.8) × 24 × 47

5.04

5.14

7.37

19.7

14.8

3.2

#2

(25 ± 2) × 23 × 49

2.33

2.4

6.23

23.9

18.4

4.2

#3

(97.5 ± 3) × 160 × 298

0.58

0.58

2.9

124

39

12

#4

(200 ± 8) × 170 × 410

0.27

0.28

1.42

180

80.9

20

#5

(475 ± 10) × 362 × 420

0.12

0.12

1.45

414

79.3

30

  1. The field was oriented along the [0001] axis in all crystals. ΔBMR, ΔBHall represent the oscillation periods extracted from the magnetoresistance and the Hall resistivity. ρ0 is zero-field resistivity measured at 2 K. The mean free path 0 was extracted as described in the supplementary note 230. In the thickest samples, the zero-field electron mean free path 0, limited by defect scattering, saturates at 75 μm; while in thinner samples, it is limited by boundary scattering, resulting in \({\ell }_{0}\simeq \overline{s}\).