Abstract
Abstract
This work brings out many interesting facets of magnetism in the Ni5Al3/NiO core/shell nanoparticle system. The weak and strong magnetic irreversibility lines (
T
W
I
(
H
)
and
T
S
I
(
H
)
) reproduce the previously reported H − T phase diagram at fields
H
⩽
30
Oe, but strong departures occur for H > 30 Oe. Comparison with the theoretically predicted H − T phase diagram allows us to identify T
WI
with
T
C
G
+
S
G
, where the paramagnetic (PM)-chiral glass (CG) and PM-spin glass (SG) phase transitions occur simultaneously, and T
SI
with T
SG
, the temperature at which transition to the replica symmetry breaking SG state takes place. The
T
S
I
(
H
)
transition line abruptly ends at the point (
H
≃
30
Oe,
T
≃
90
K). As H exceeds 30 Oe, a new transition appears which gets completely suppressed at fields
H
>
1
k
O
e
where the magnetic irreversibility ceases to exist. No intrinsic long-range ferromagnetic ordering exists but fields as low as 3 kOe suffice to induce long-range ferromagnetic order. At fixed temperatures, the magnetocrystalline anisotropy fluctuations essentially govern the ‘approach-to-saturation’ in magnetization for fields in the range 3 – 70 kOe. The present nanocrystalline system behaves as an isotropic system with random easy axis in which the magnetization reversal occurs through the coherent rotation of the magnetizations of weakly-interacting single-domain Ni5Al3 particles. Saturation magnetization, like M(T) at
H
⩾
2 kOe, exhibits an anomalous upturn at temperatures below ≈ 30 K. This upturn is associated with the anomalous softening of spin-wave modes which results in the thermal excitation of a large number of non-equilibrium (finite lifetime) magnons. At sub-Kelvin temperatures, these magnons undergo Bose–Einstein condensation.
Funder
the Center for Nanotechnology, University of Hyderabad
Indian National Science Academy