Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum transition between magnetically ordered and Mott glass phases   We discuss a quantum transition from a superfluid to a Mott glass phases in
disordered Bose-systems by the example of an isotropic spin-$\frac12$
antiferromagnet with spatial dimension $d\ge2$ and with disorder in tunable
exchange couplings. Our analytical consideration is based on general properties
of a system in critical regime, on the assumption that the magnetically order
part of the system shows fractal properties near the transition, and on a
hydrodynamic description of long-wavelength magnons in the magnetically ordered
("superfluide") phase. Our results are fully consistent with a scaling theory
based on an ansatz for the free energy proposed by M.P. Fisher et al. (Phys.
Rev. B 40, 546 (1989)). We obtain $z=d-\beta/\nu$ for the dynamical critical
exponent and $\phi = z\nu$, where $\phi$, $\beta$, and $\nu$ are critical
exponents of the critical temperature, the order parameter, and the correlation
length, respectively. The density of states of localized excitations (fractons)
is found to show a superuniversal (i.e., independent of $d$) behavior.

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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph