Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical and Griffiths-McCoy singularities in quantum Ising spin-glasses
  on d-dimensional hypercubic lattices: A series expansion study   We study the $\pm J$ transverse-field Ising spin glass model at zero
temperature on d-dimensional hypercubic lattices and in the
Sherrington-Kirkpatrick (SK) model, by series expansions around the strong
field limit. In the SK model and in high-dimensions our calculated critical
properties are in excellent agreement with the exact mean-field results,
surprisingly even down to dimension $d = 6$ which is below the upper critical
dimension of $d=8$. In contrast, in lower dimensions we find a rich singular
behavior consisting of critical and Griffiths-McCoy singularities. The
divergence of the equal-time structure factor allows us to locate the critical
coupling where the correlation length diverges, implying the onset of a
thermodynamic phase transition. We find that the spin-glass susceptibility as
well as various power-moments of the local susceptibility become singular in
the paramagnetic phase $\textit{before}$ the critical point. Griffiths-McCoy
singularities are very strong in two-dimensions but decrease rapidly as the
dimension increases. We present evidence that high enough powers of the local
susceptibility may become singular at the pure-system critical point.

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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cs
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: funct-an