# Determination of the normal and anomalous hall effect coefficients in ferromagnetic Ni{sub 50}Mn{sub 35}In{sub 15-x}Si{sub x} Heusler alloys at the martensitic transformation

## Abstract

The magnetization, the electrical resistivity, the magnetoresistance, and the Hall resistivity of Ni{sub 50}Mn{sub 35}In{sub 15-x}Si{sub x} (x = 1.0, 3.0, 4.0) Heusler alloys are studied at T = 80-320 K. The martensitic transformation in these alloys occurs at T = 220-280 K from the high-temperature ferromagnetic austenite phase into the low-temperature martensite phase having a substantially lower magnetization. A method is proposed to determine the normal and anomalous Hall effect coefficients in the presence of magnetoresistance and a possible magnetization dependence of these coefficients. The resistivity of the alloys increases jumpwise during the martensitic transformation, reaches 150-200 {mu}{Omega} cm, and is almost temperature-independent. The normal Hall effect coefficient is negative, is higher than that of nickel by an order of magnitude at T = 80 K, decreases monotonically with increasing temperature, approaches zero in austenite, and does not undergo sharp changes in the vicinity of the martensitic transformation. At x = 3, a normal Hall effect nonlinear in magnetization is detected in the immediate vicinity of the martensitic transformation. The temperature dependences of the anomalous Hall effect coefficient in both martensite and austenite and, especially, in the vicinity of the martensitic transformation cannot be described in terms of themore »

- Authors:

- Moscow State University (Russian Federation)
- Ikerbasque, Basque Foundaiton for Science (Spain)
- Southern Illinois University, Department of Physics (United States)

- Publication Date:

- OSTI Identifier:
- 22069270

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 115; Journal Issue: 5; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AUSTENITE; FERROMAGNETIC MATERIALS; FERROMAGNETISM; HALL EFFECT; HEUSLER ALLOYS; INDIUM ALLOYS; MAGNETIZATION; MAGNETORESISTANCE; MANGANESE ALLOYS; MARTENSITE; NICKEL ALLOYS; NONLINEAR PROBLEMS; PHASE TRANSFORMATIONS; SILICON ALLOYS; TEMPERATURE DEPENDENCE

### Citation Formats

```
Granovskii, A. B., E-mail: granov@magn.ru, Prudnikov, V. N., Kazakov, A. P., Zhukov, A. P., and Dubenko, I. S.
```*Determination of the normal and anomalous hall effect coefficients in ferromagnetic Ni{sub 50}Mn{sub 35}In{sub 15-x}Si{sub x} Heusler alloys at the martensitic transformation*. United States: N. p., 2012.
Web. doi:10.1134/S1063776112090051.

```
Granovskii, A. B., E-mail: granov@magn.ru, Prudnikov, V. N., Kazakov, A. P., Zhukov, A. P., & Dubenko, I. S.
```*Determination of the normal and anomalous hall effect coefficients in ferromagnetic Ni{sub 50}Mn{sub 35}In{sub 15-x}Si{sub x} Heusler alloys at the martensitic transformation*. United States. doi:10.1134/S1063776112090051.

```
Granovskii, A. B., E-mail: granov@magn.ru, Prudnikov, V. N., Kazakov, A. P., Zhukov, A. P., and Dubenko, I. S. Thu .
"Determination of the normal and anomalous hall effect coefficients in ferromagnetic Ni{sub 50}Mn{sub 35}In{sub 15-x}Si{sub x} Heusler alloys at the martensitic transformation". United States. doi:10.1134/S1063776112090051.
```

```
@article{osti_22069270,
```

title = {Determination of the normal and anomalous hall effect coefficients in ferromagnetic Ni{sub 50}Mn{sub 35}In{sub 15-x}Si{sub x} Heusler alloys at the martensitic transformation},

author = {Granovskii, A. B., E-mail: granov@magn.ru and Prudnikov, V. N. and Kazakov, A. P. and Zhukov, A. P. and Dubenko, I. S.},

abstractNote = {The magnetization, the electrical resistivity, the magnetoresistance, and the Hall resistivity of Ni{sub 50}Mn{sub 35}In{sub 15-x}Si{sub x} (x = 1.0, 3.0, 4.0) Heusler alloys are studied at T = 80-320 K. The martensitic transformation in these alloys occurs at T = 220-280 K from the high-temperature ferromagnetic austenite phase into the low-temperature martensite phase having a substantially lower magnetization. A method is proposed to determine the normal and anomalous Hall effect coefficients in the presence of magnetoresistance and a possible magnetization dependence of these coefficients. The resistivity of the alloys increases jumpwise during the martensitic transformation, reaches 150-200 {mu}{Omega} cm, and is almost temperature-independent. The normal Hall effect coefficient is negative, is higher than that of nickel by an order of magnitude at T = 80 K, decreases monotonically with increasing temperature, approaches zero in austenite, and does not undergo sharp changes in the vicinity of the martensitic transformation. At x = 3, a normal Hall effect nonlinear in magnetization is detected in the immediate vicinity of the martensitic transformation. The temperature dependences of the anomalous Hall effect coefficient in both martensite and austenite and, especially, in the vicinity of the martensitic transformation cannot be described in terms of the skew scattering, the side jump, and the Karplus-Lutinger mechanisms from the anomalous Hall effect theory. The possible causes of this behavior of the magnetotransport properties in Heusler alloys are discussed.},

doi = {10.1134/S1063776112090051},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 5,

volume = 115,

place = {United States},

year = {2012},

month = {11}

}