Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular ferromagnetic susceptibility of the transverse-field Ising
  antiferromagnet on the triangular lattice   A transverse magnetic field $\Gamma$ is known to induce antiferromagnetic
three-sublattice order of the Ising spins $\sigma^z$ in the triangular lattice
Ising antiferromagnet at low enough temperature. This low-temperature order is
known to melt on heating in a two-step manner, with a power-law ordered
intermediate temperature phase characterized by power-law correlations at the
three-sublattice wavevector ${\bf Q}$: $\langle \sigma^z(\vec{R})
\sigma^z(0)\rangle \sim \cos({\mathbf Q}\cdot \vec{R}) /|\vec{R}|^{\eta(T)}$
with the temperature-dependent power-law exponent $\eta(T) \in (1/9,1/4)$.
  Here, we use a newly developed quantum cluster algorithm to study the {\em
ferromagnetic} easy-axis susceptibility $\chi_{u}(L)$ of an $L \times L$ sample
in this power-law ordered phase. Our numerical results are consistent with a
recent prediction of a singular $L$ dependence $\chi_{u}(L)\sim L^{2- 9 \eta}$
when $\eta(T)$ is in the range $(1/9,2/9)$. This finite-size result implies,
via standard scaling arguments, that the ferromagnetic susceptibility
$\chi_{u}(B)$ to a uniform field $B$ along the easy axis is singular at
intermediate temperatures in the small $B$ limit, $\chi_{u}(B) \sim
|B|^{-\frac{4 - 18 \eta}{4-9\eta}}$ for $\eta(T) \in (1/9, 2/9)$, although
there is no ferromagnetic long-range order in the low temperature state.

33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc