### Cite Details

T. D. Thanh, D. Nanto, N. T.U. Tuyen, W.-Z.. Nan, Y. Yu, D. M. Tartakovsky and S. C. Yu, "Coexistence of short- and long-range ferromagnetic order in
nano-crystalline
Fe

_{2}Mn

_{1-x}Cu

_{x}Al
(

*x* = 0.0, 0.1 and 0.3)
synthesized by high-energy ball milling",

*J. Magn. Magn. Mater.*, vol. 394, doi:

10.1016/j.jmmm.2015.06.036, pp. 37-43, 2015

### Abstract

In this work, we prepared nanocrystalline
Fe_{2}Mn_{1-x}Cu_{x}Al
(*x* = 0.0, 0.1 and 0.3) powders by the high energy
ball milling technique, and then studied their critical
properties. Our analysis reveals that the increase of Cu-doping
concentration (up to *x* = 0.3) in these powders
leads to a gradual increase of the ferromagnetic–paramagnetic
transition temperature from 406 to 45 K. The Banerjee criterion
suggests that all the samples considered undergo a second-order
phase transition. A modified Arrott plot and scaling analysis
indicate that the critical exponents (*β* =
0.419 and 0.442, *γ* = 1.082 and 1.116 for
*x* = 0.0 and 0.1, respectively) are located in
between those expected for the 3D-Heisenberg and the mean-field
models; the values of *β* = 0.495 and
*γ* = 1.046 for *x* = 0.3 sample are
very close to those of the mean-field model. These features reveal the
coexistence of the short- and long-range ferromagnetic order in
the nanocrystalline
Fe_{2}Mn_{1-x}Cu_{x}Al
powders. Particularly, as
the concentration of Cu increases, values of the critical
exponent shift towards those of the mean-field model. Such
results prove the Cu doping favors establishing a long-range
ferromagnetic order.

### BibTeX Entry

@article{thanh-2015-coexistence,

author = {T. D. Thanh and D. Nanto and N. T.U. Tuyen and W.-Z.. Nan and Y. Yu and D. M. Tartakovsky and S. C. Yu},

title = {Coexistence of short- and long-range ferromagnetic order in
nano-crystalline
Fe
$_{2}$
Mn
$_{1-x}$
Cu
$_{x}$
Al
(
$x$
= 0.0, 0.1 and 0.3)
synthesized by high-energy ball milling},

year = {2015},

urlpdf = {http://maeresearch.ucsd.edu/Tartakovsky/Papers/thanh-2015-coexistence.pdf},

journal = {J. Magn. Magn. Mater.},

volume = {394},

doi = {10.1016/j.jmmm.2015.06.036},

pages = {37-43}

}