Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equal-Interval Splitting of Quantum Tunneling in Single-Molecule Magnets
  with Identical Exchange Coupling   The equal-interval splitting of quantum tunneling observed in
simple-Ising-model systems of Ni$_{4}$ (3D) and Mn$_3$ (2D) single-molecule
magnets (SMMs) is reported. The splitting is due to the identical exchange
coupling in the SMMs, and is simply determined by the difference between the
two numbers of the spin-down $n_{\downarrow}$ and spin-up $n_{\uparrow}$
molecules neighboring to the tunneling molecule. The splitting may be presented
as $(n_{\downarrow}-n_{\uparrow})JS/{g\mu_{0}\mu_{B}}$, and the number of the
splittings follows $n+1$ where $n=n_{\downarrow}+n_{\uparrow}$ is the
coordination number. Besides, since the quantum tunneling is heavily dependent
on local spin environment, the manipulation of quantum tunneling may become
feasible for this kind of system, which may shed new light on novel
applications of SMMs.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio