Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phonon Quantum Phase Transition   We show that a quantum phase transition can occur in a phonon system in the
presence of dislocations. Due to the competing nature between the topological
protection of the dislocation and anharmonicity, phonons can reach a quantum
critical point at a frequency determined by dislocation density and the
anharmonic constant, at zero temperature. In the symmetry-broken phase, a novel
phonon state is developed with a dynamically-induced dipole field. We carry out
a renormalization group analysis and show that the phonon critical behavior
differs wildly from any electronic system. In particular, at the critical
point, a single phonon mode dominates the density of states and develops an
exotic logarithmic divergence in thermal conductivity. This phonon quantum
criticality provides a completely new avenue to tailor phonon transport at the
single-mode level without using phononic crystals.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg