Table 1 Unit cell parameters of Cr- and V-doped (Bi, Sb)2Te3 calculated from HRXRD measurements of samples with various substrates, thicknesses and doping levels.

From: Structural properties of thin-film ferromagnetic topological insulators

Substrate

Thickness

Doping

c (Å, 2θ/ω)

c (Å, RSM)

a (Å, RSM)

V (Å3)

Lattice mismatch

FWHM (°)

Bulk

   

30.60

4.30

490.0

  

STO (1 1 1)

4 QL

V0.06

30.51 ± 0.05

30.55 ± 0.42

4.28 ± 0.14

484.0

−3.4% \((\frac{2{a}^{TI}}{3}\,\cos \,30^\circ )\)

V0.11

30.62 ± 0.06

30.50 ± 0.42

4.26 ± 0.15

481.2

0.11

5 QLa

Cr0.15*

30.62 ± 0.06

4.28

485.8

Cr 0.15

30.66 ± 0.19

4.28

486.4

10 QL

V0.07

30.54 ± 0.03

30.54 ± 0.43

4.28 ± 0.16

484.5

0.15

20 QL

V0.07

30.44 ± 0.01

30.34 ± 0.41

4.30 ± 0.16

487.4

0.16

Al2O3 (0 0 0 1)

10 QL

V0.07

30.47 ± 0.08

30.49 ± 0.32

4.29 ± 0.13

485.6

+2.6% \((\frac{2{a}^{TI}}{3})\)

0.12

20 QLb

V0.15

30.39

Cr0.16

30.15

None

30.34

Si (1 1 1)

10 QL

V0.07

30.45 ± 0.07

30.22 ± 0.41

4.30 ± 0.20

487.6

−2.8% \((\frac{3{a}^{TI}}{4})\)

0.36

InP (1 1 1)

8 QLc

Cr0.22

30.26

   

−3.6% (a TI cos 30°)

 
  1. Parameters from this study are calculated from three (0 0 n) reflections (column labeled 2θ/ω) or a single (1 0 20) reflection (columns labeled RSM, from reciprocal space maps). Also included are unit cell volume (column labelled V, calculated from columns c (2θ/ω) and a (RMS)), lattice mismatch with respect to each substrate, and the full-width at half-maximum (FWHM) of rocking curves taken on the (0 0 15) peak.
  2. *Uncapped.
  3. aJ. Park et al.13
  4. bC.-Z. Chang et al.12.
  5. cJ. Checkelsky et al.8.