Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy-gap analysis of quantum spin-glass transitions at zero
  temperature   We study for random quantum spin systems the energy gap between the ground
and first excited states to clarify a relation to the spin-glass-paramagnetic
phase transition. We find that for the transverse Sherrington-Kirkpatrick model
the vanishing of the averaged gap does not identify the transition. A power-law
form of the gap distribution function leads to power-law distributions of the
linear, spin-glass, and nonlinear susceptibilities. They diverge at different
points, which we attribute to a quantum Griffiths mechanism. On the other hand,
the classical treatment is justified for the transverse random energy model and
the phase transition can be found by a sudden change of the ground state.

28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math