Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simplex Z_2 spin liquids on the Kagome lattice with Entangled Pair
  States: spinon and vison coherence lengths, topological entropy and gapless
  edge modes   Gapped Z_2 spin liquids have been proposed as candidates for the ground-state
of the S=1/2 quantum antiferromagnet on the Kagome lattice. We extend the use
of Projected Entangled Pair States to construct (on the cylinder)Resonating
Valence Bond (RVB) states including both nearest-neighbor and next-nearest
neighbor singlet bonds. Our ansatz -- dubbed "simplex spin liquid" -- allows
for an asymmetry between the two types of triangles (of order 2-3% in the
energy density after optimization) leading to the breaking of inversion
symmetry. We show that the topological Z_2 structure is still preserved and, by
considering the presence or the absence of spinon and vison lines along an
infinite cylinder, we explicitly construct four orthogonal RVB Minimally
Entangled States. The spinon and vison coherence lengths are extracted from a
finite size scaling w.r.t the cylinder perimeter of the energy splittings of
the four sectors and are found to be of the order of the lattice spacing. The
entanglement spectrum of a partitioned (infinite) cylinder is found to be
gapless suggesting the occurrence, on a cylinder with {\it real} open
boundaries, of gapless edge modes formally similar to Luttinger liquid
(non-chiral) spin and charge modes. When inversion symmetry is spontaneously
broken, the RVB spin liquid exhibits an extra Ising degeneracy, which might
have been observed in recent exact diagonalisation studies.

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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: solv-int