So far, I have been attempting to fit the magnetoconductivity at low temperatures using the HLN equation, but I have not been able to obtain satisfactory results.
In HLN fitting for topological materials, the theoretical range of A should be between -1 and 1. However, when applying the equation to my data, the obtained α values are far beyond this range, for example: A = -783.105, L = -8.5103E-9
The code I have been using is: y = (A * 1.23314709 * 10^-5) * (real_polygamma(0.5 + 1.64557041 * 10^(-16) / (x * L^2), 0) - ln(1.64557041 * 10^(-16) / (x * L^2))).
The quantity I have been fitting is y = delta_sigma (unit: 1/R = siemens), with x representing the magnetic field (unit: Tesla).
I would appreciate any insights or suggestions regarding potential mistakes in my approach. Thank you all.
My raw datas are below：
Magnet field(unit: Tesla)
9.0000734
8.5000344
8.0000727
7.500057
7.0000898
6.5000859
6.0000746
5.5000797
5.0000711
4.5000879
4.0000398
3.5000637
3.0000895
2.5000785
2.0000582
2.0000537
1.8000371
1.6000531
1.4000832
1.200041
1.0000408
0.8000755
0.599996
0.3999749
0.2000631
-0.0000023
-0.2000398
-0.4000308
-0.6000263
-0.8000266
-1.0000338
-1.2000387
-1.4000366
-1.6000228
-1.800023
-2.0000467
-2.0000676
-2.4999855
-3.0000268
-3.5000473
-4.0000281
-4.5000133
-5.000043
-5.5000332
-6.0000375
-6.5000418
-7.0000313
-7.5000313
-8.0000164
-8.5000227
-9.0000242
Delta_sigma(unit:siemens)
-0.002887489
-0.002687662
-0.002485256
-0.002280469
-0.002074338
-0.001868494
-0.001663777
-0.001462566
-0.001266492
-0.001077444
-0.000897571
-0.000729016
-0.000574062
-0.000435262
-0.000315078
-0.00031482
-0.000272575
-0.000233804
-0.000198404
-0.000166774
-0.000138783
-0.000114215
-9.2728E-05
-7.3475E-05
-5.2651E-05
0
-5.43256E-05
-7.43393E-05
-9.34855E-05
-0.000114852
-0.000139313
-0.000167332
-0.000198974
-0.000234167
-0.000272964
-0.000315264
-0.000315422
-0.00043529
-0.000573994
-0.000728615
-0.000897118
-0.001076791
-0.0012658
-0.001461805
-0.001662853
-0.001867149
-0.002073067
-0.002279108
-0.002483893
-0.002686309
-0.002885671
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HLN fitting about A and L
Posted - 07/14/2023 : 6:26:47 PM
