Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling of nonlinear susceptibilities in artificial permalloy honeycomb
  lattice   Two-dimensional artificial magnetic honeycomb lattice is predicted to
manifest thermodynamic phase transition to the spin solid order ground state at
low temperature. Nonlinear susceptibilities are very sensitive to thermodynamic
phase transition. We have performed the analysis of nonlinear susceptibility to
explore the thermodynamic nature of spin solid phase transition in artificial
honeycomb lattice of ultra-small connected permalloy (Ni$_{0.81}$Fe$_{0.19}$)
elements, typical length of $\simeq$ 12 nm. The nonlinear susceptibility,
$\chi_{n1}$, is found to exhibit an unusual cross-over character in both
temperature and magnetic field. The higher order susceptibility $\chi_3$
changes from positive to negative as the system traverses through the spin
solid phase transition at $T_s$ = 29 K. Additionally, the static critical
exponents, used to test the scaling of $\chi_{n1}$, do not follow the
conventional scaling relation. We conclude that the transition to the ground
state is not truly thermodynamic, thus raises doubt about the validity of
predicted zero entropy state in the spin solid phase.

17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg