Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kane-Mele Hubbard model on a zigzag ribbon: stability of the topological
  edge states and quantum phase transitions   We study the quantum phases and phase transitions of the Kane-Mele Hubbard
(KMH) model on a zigzag ribbon of honeycomb lattice at a finite size via the
weak-coupling renormalization group (RG) approach. In the non-interacting
limit, the KM model is known to support topological edge states where electrons
show helical property with orientations of the spin and momentum being locked.
The effective inter-edge hopping terms are generated due to finite-size effect.
In the presence of an on-site Coulomb repulsive interaction and the inter-edge
hoppings, special focus is put on the stability of the topological edge states
(TI phase) in the KMH model against (i) the charge and spin gaped (II) phase,
(ii) the charge gaped but spin gapless (IC) phase and (iii) the spin gaped but
charge gapless (CI) phase depending on the number (even/odd) of the zigzag
ribbons, doping level (electron filling factor) and the ratio of the Coulomb
interaction to the inter-edge tunneling. We discuss different phase diagrams
for even and odd numbers of zigzag ribbons. We find the TI-CI, II-IC, and II-CI
quantum phase transitions are of the Kosterlitz-Thouless (KT) type. By
computing various correlation functions, we further analyze the nature and
leading instabilities of these phases.

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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph