Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unconventional Surface Critical Behaviors Induced by Quantum Phase
  Transition from Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Phase to N\'eel
  Order   A symmetry-protected topological phase has nontrivial surface states in the
presence of certain symmetries, which can either be gapless or be degenerate.
In this work, we study the physical consequence of such gapless surface states
at the bulk quantum phase transition (QPT) that spontaneously breaks these
symmetries. The two-dimensional Affleck-Kennedy-Lieb-Tasaki phase on a square
lattice and its QPTs to N\'eel ordered phases are realized with the spin-$1/2$
Heisenberg model on a decorated square lattice. With large-scale quantum Monte
Carlo simulations, we show that even though the bulk QPTs are governed by the
conventional Landau phase transition theory, the gapless surface state induces
unconventional universality classes of the surface critical behaviors.

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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ