Carrier density of the high Tc and hydrogen doped samples measured by the high magnetic field

Carrier density of the high Tc and hydrogen doped samples

measured by the high magnetic field.

0 20 40 60 80 100 1200

2

4

6

8

10

Ca

rrie

r d

en

sity

(1

020cm

-3)

TC (K)

Annealed sample

-15 -10 -5 0 5 10 15-30

-20

-10

0

10

20

30Mn437 12%Mn [1-10] Ann

2K 4K 10K

Rxy

/

B/T

-15 -10 -5 0 5 10 15-30

-20

-10

0

10

20

30Mn450 12%Mn hydrogen [110] Ann

2K 4K 10K

Rxy

/

B/T

-15 -10 -5 0 5 10 154480

4500

4520

4540

4560

4580

4600 2K 4K 10K

R

xx/

B/T

Mn437 12%Mn [1-10] Ann

-15 -10 -5 0 5 10 154880

4900

4920

4940

4960

4980

5000

5020

5040Mn450 12%Mn hydrogen [110] Ann

B/T

2K 4K 10K

Rxx

/

Tc~175K

Tc~165K

-14 -12 -10 -8 -6 -4 -2 0 2

-26.0

-25.5

-25.0

-24.5

-24.0 Rxy n=1 n=2

Rxy

B/T

High Tc sample Mn437 @2K n=1 p=1.87438E+21cm-3

n=2 p=1.76279E+21cm-3

Hydrogen sample Mn450 @2K n=1 p=1.44406E+21cm-3 n=2 p=1.40408E+21cm-3

High Tc sample Mn437 @10K n=1 p=1.9164E+21cm-3 n=2 p=1.78552E+21cm-3

Hydrogen sample Mn450 @10K n=1 p=1.49987E+21cm-3 n=2 p=1.43796E+21cm-3

-14 -12 -10 -8 -6 -4

-26

-24

Data: A2kup1_GModel: hall Equation: Rxy=R0*B+C*Rxx^n n=2Weighting:Rxy No weighting Chi^2/DoF = 0.00075R^2 = 0.99322 R0 0.14058 ±0.00035C -1.1588E-6 ±0.6524E-10n 2 ±0

Data: A2kup1_GModel: hall Equation: Rxy=R0*B+C*Rxx^n n=1 Weighting:Rxy No weighting Chi^2/DoF = 0.00074R^2 = 0.99331 R0 0.13245 ±0.00034C -0.00531 ±7.526E-7n 1 ±0

Y A

xis

Titl

e

X Axis Title

G

Fit Function: Rxy=R0 B+C Rxxn

Error of p <5%

0 2 4 6 8 10 12 14 16 18 2020

40

60

80

100

120

140

160

180

200

T

c/K

Carrier density (1020cm-3)

0.0 0.2 0.4 0.6 0.8 1.0 1.20

20

40

60

80

100

120

140

160

180

T

c/K

Carrier density P1/3 (10-7cm-1)

As-grown sample

-20 -10 0 10 2014000

14700

15400

16100

16800 2K 4K 10K

Rxx

/

B/T

Mn450 12%Mn hydrogen New [1-10] Asg

-15 -10 -5 0 5 10 1516000

18000

20000

22000

24000Mn437 12%Mn [1-10] Asg

2K 4K 10K

Rxx

/

B/T-15 -10 -5 0 5 10 15

-400

-300

-200

-100

0

100

200

300

400Mn437 12%Mn [1-10] Asg

2K 4K 10K

B/T

Rxy

/

-15 -10 -5 0 5 10 15

-200

-100

0

100

200

Rxy

/

B/T

2K 4K 10K

Mn450 12%Mn hydrogen New [1-10] Asg

Tc~60K

Tc~70K

0 5 10 15260

270

280

290

Rxy Fit 5T-14T Fit 2T-14T

R

xy/

B/T

Mn437 12%Mn Asg

0 2 4 6 8 10 12 140.55

0.60

0.65

0.70

0.75

0.80

0.85 R0

R0

B/T

0 2 4 6 8 10 12 140.0

0.5

1.0

1.5

2.0

2.5

3.0

B/T

C

C

0 2 4 6 8 10 12 14

0.46

0.48

0.50

0.52

0.54

0.56

0.58

n

B/T

n

Carrier density :3E20cm-3->4.4E20cm-3

Fit2. Rxy=R0 B+C1 Rxx2+C2Rxx0.4

(M. Glunk, etc. PRB 80, 125204 2009)

2T-14T

R0 0.5835 ±0.00188 (p=4.28E+20)

C1 2.7732E-8 ±2.365E-10

C2 4.91818 ±0.00192

5T-14TR0 0.64858 ± 0.00329 (p=3.85E+20)C1 3.8932E-8 ± 5.6689E-10C2 4.83154 ± 0.00437

0 3 6 9 12 15

264

272

280

5T-14T Chi^2/DoF = 0.00229R^2 = 0.99945 R0 0.64858 ±0.00329C1 3.8932E-8 ±5.6689E-10C2 4.83154 ±0.00437

2T-14T

Chi^2/DoF = 0.00377R^2 = 0.99978 R0 0.5835 ±0.00188C1 2.7732E-8 ±2.365E-10C2 4.91818 ±0.00192

Rxy

/

B/T

0 2 4 6 8 10 12 14 16 18 2020

40

60

80

100

120

140

160

180

200

T

c/K

Carrier density (1020cm-3)

-15 -10 -5 0 5 10 1540000

45000

50000

55000

60000

65000

2K 4K 10K

Mn450 12%Mn hydrogen Old [1-10] AsgR

xx/

B/T

-15 -10 -5 0 5 10 15

-5000

-4000

-3000

-2000

-1000

2K 4K 10K

Mn450 12%Mn hydrogen Old [1-10] Asg

Rxy

/

B/T

-2 0 2 4 6 8 10 12 14 16

-4000

-3000

-2000

-1000

0

1000

2000

3000

4000

Rxy

/

B/T

Field sweep up Raw data Rxy Field sweep down Raw data Rxy delete the sysmtric part

4 8 12

360

380

Data: Average1_BModel: hall1 Chi^2/DoF = 0.44906R^2 = 0.98459 R0 0.45497 ±0.02073C1 -1.192E-8 ±2.9734E-10C2 5.25815 ±0.01124

Data: Average1_BModel: hall Chi^2/DoF = 0.45313R^2 = 0.98445 R0 0.24172 ±0.02668C 25.32342 ±1.05318n 0.24778 ±0.00378

Y A

xis

Titl

e

B/T

Average of Graph1 Layer 1 Rxy

Tc~55K

Field Range: 3T-14T

Fit1. Rxy=R0 B+C Rxxn

R0=0.24172 ±0.02668 (p=1.03E+21cm-3)

C=25.32342 ±1.05318n=0.24778 ±0.00378

Fit2. Rxy=R0 B+C1 Rxx2+C2Rxx0.4

R0=0.45497 ±0.02073 (p=5.44E+20cm-3)C1= -1.192E-8 ±2.9734E-10C2=5.25815 ± 0.01124

Mobility

R/Ω ρ(Ω-1.cm-1) p(cm-3) μ(cm2/V.s)

Annealed

Mn437

2K 4566 1.8022E-03 1.87E+21 1.850207

4K 4533 1.78918E-03 1.88E+21 1.86048

10K 4492 1.77299E-03 1.92E+21 1.839443

Mn450

2K 5027 1.98416E-03 1.44E+21 2.18132

4K 4990 1.96955E-03 1.47E+21 2.159071

10K 4939 1.94942E-03 1.5E+21 2.137575

As-grown Mn437 2K 22667 8.94666E-03 4E+20 1.7465