Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Criticality in Topological Insulators and Superconductors:
  Emergence of Strongly Coupled Majoranas and Supersymmetry   We study symmetry breaking quantum phase transitions in topological
insulators and superconductors where the single electron gap remains open in
the bulk. Specifically, we consider spontaneous breaking of the symmetry that
protects the gapless boundary modes, so that in the ordered phase these modes
are gapped. Here we determine the fate of the topological boundary modes right
at the transition where they are coupled to the strongly fluctuating order
parameter field. Using a combination of exact solutions and renormalization
group techniques, we find that the surface fermionic modes either decouple from
the bulk fluctuations, or flow to a strongly coupled fixed point which remains
gapless. In addition, we study transitions where the critical fluctuations are
confined only to the surface and find that in several cases the critical point
is naturally supersymmetric. This allows a determination of critical exponents
and points to an underlying connection between band topology and supersymmetry.
Finally, we study the fate of gapless Majorana modes localized on point and
line defects in topological superconductors at bulk criticality, which is
analogous to a quantum impurity problem. Again, an interplay of topology and
strong correlations causes these modes to remain gapless but in a strongly
coupled state. Experimental candidates for realizing these phenomena are
discussed.

9
The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
24
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: patt-sol
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The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph