Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Role of local short-scale correlations in the mechanism of negative
  magnetization   We elaborate here why the antiferromagnetically ordered GdCrO$_3$ responds in
a diamagnetic way under certain conditions, by monitoring the evolution of the
microscopic global and local magnetic phases. Using high energy $\sim$ 0.3 eV
neutrons, the magnetic ordering is shown to adopt three distinct magnetic
phases at different temperatures: G$_x^{Cr}$,A$_y^{Cr}$,F$_z^{Cr}$ below N\'eel
temperature = 171 K; (F$_x^{Cr}$, C$_y^{Cr}$, G$_z^{Cr}$)$\bullet$(
F$_x$$^{Gd}$,C$_y$$^{Gd}$) below 7 K and an intermediate phase for 7 K $ \le T
\le$ 20 K in the vicinity of spin-reorientation phase transition. Although,
bulk magnetometry reveals a huge negative magnetization (NM) in the terms of
both magnitude and temperature range ( $M_{- max}$ ( 18 K)$\sim$ 35 $\times
M_{+ max}$ (161 K), $\Delta T \sim 110$ K in presence of $\mu_0H$ = 0.01 T);
the long-range magnetic structure and derived ordered moments are unable to
explain the NM. Real-space analysis of the total (Bragg's + diffuse) scattering
reveals significant magnetic correlations extending up to $\sim$ 9 $\AA$.
Accounting for these short-range correlations with a spin model reveals spin
frustration in the S= 3 ground state, comprising competing first, second and
third next nearest exchange interactions with values J$_1$ = 2.3 K, J$_2$ =
-1.66 K and J$_3$ = 2.19 K in presence of internal field, governs the
observance of NM in GdCrO$_{3}$.

20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph