Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya
  Ferromagnet   The kagome lattice sits at the crossroad of present research efforts in
quantum spin liquids, chiral phases, emergent skyrmion excitations and
anomalous Hall effects to name but a few. In light of this diversity, our goal
in this paper is to build a unifying picture of the underlying magnetic
degrees-of-freedom on kagome. Motivated by a growing mosaic of materials, we
especially consider a broad range of nearest-neighbour interactions consisting
of Dzyaloshinskii-Moriya as well as anisotropic ferro$-$ and antiferromagnetic
coupling. We present a three-fold mapping on the kagome lattice which
transforms the celebrated Heisenberg antiferromagnet and XXZ model onto two
lines of time-reversal invariant Hamiltonians. The mapping is exact for
classical and quantum spins alike, i.e. it preserves the energy spectrum of the
original Heisenberg and XXZ models. As a consequence, at the classical level,
all phases have an extensive ground-state degeneracy. These ground states
support a variety of phenomena such as ferromagnetically induced pinch points
in the structure factor and the possibility for spontaneous scalar chirality.
For quantum spin$-1/2$, the XXZ model has been recently shown to be a quantum
spin liquid. Applying our three-fold mapping to the XXZ model gives rise to a
connected network of quantum spin liquids, centered around a paragon of quantum
disorder, namely the Ising antiferromagnet. We show that this quantum disorder
spreads over an extended region of the phase diagram at linear order in spin
wave theory, which overlaps with the parameter region of Herbertsmithite
ZnCu$_3$(OH)$_6$Cl$_2$. We conclude this work by discussing the connection of
our results to the chiral spin liquids found on kagome with further
nearest-neighbour interactions, and to the recently synthesized ternary
intermetallic materials.

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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess