Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum transitions from superfluid to insulating phases in disordered
  Bose systems   By the example of Heisenberg $d$-dimensional disordered antiferromagnets, we
discuss quantum transitions at $d\ge2$ from magnetically ordered (superfluid)
to various disordered (insulating) glassy phases (Bose-glass, Mott-glass, etc.)
in Bose systems with quenched disorder. Our consideration is based on the
hydrodynamic description of long-wavelength excitations and on the assumption
that the ordered part of the system shows fractal properties near the
transition point. We propose that the scaling ansatz for the free energy
suggested before for the transition to the Bose-glass phase is applicable also
for other transitions if the quenched disorder does not produce a local
imbalance in sublattices magnetizations. We show using the scaling
consideration that $\eta=2-z$ and $\beta=\nu d/2$, where $\eta$, $\beta$, and
$\nu$, are critical exponents of the correlation function, the order parameter,
and the correlation length, respectively, and $z$ is the dynamical critical
index. These relations were missed in previous analytical discussions of
Bose-glass and Mott-glass phases. They signify, in particular, that $z=d/2$ for
the transition to the Mott-glass phase and that the density of states of
localized excitations shows a superuniversal (i.e., independent of $d$)
behavior near the transitions. Being derived solely from the scaling analysis,
the above relations for $\eta$ and $\beta$ are valid also for the transition to
the random-singlet phase.

1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con