Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum criticality in an asymmetric three-leg spin tube: A strong
  rung-coupling perspective   We study quantum phase transitions in the asymmetric variation of the
three-leg Heisenberg tube for half-odd-integer spin, with a modulation of one
of the rung exchange couplings $J'_\perp$ while the other two are kept constant
$J_\perp$. We focus on the strong rung-coupling regime $J_\perp \gg
J_\parallel$, where $J_\parallel$ is the leg coupling, and analyze the
effective spin-orbital model with a transverse crystal field in detail.
Applying the Abelian bosonization to the effective model, we find that the
system is in the dimer phase for the general half-odd-integer-spin cases
without the rung modulation; the phase transition between the dimer and
Tomonaga-Luttinger-liquid phases induced by the rung modulation is of the
SU(2)-symmetric Berezinskii-Kosterlitz-Thouless type. Moreover, we perform a
level spectroscopy analysis for the effective model for spin-1/2 using exact
diagonalization, to determine the precise transition point $| J'_\perp -
J_\perp| /J_\parallel \sim 0.283$ in the strong rung-coupling limit. The
presence of the dimer phase in a small but finite region is also confirmed by a
density-matrix renormalization group calculation on the original spin-tube
model.

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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom