Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Hall spin liquids and their possible realization in moir\'e
  systems   Recently Chern insulators with Chern number $C=1$ and $C=2$ in zero (or very
small) magnetic field have been observed in two moire graphene systems: twisted
bilayer graphene and ABC trilayer graphene, both aligned with a hexagonal
Boron-Nitride (h-BN) substrate. These Chern insulator states arise due to many
body effects in the Chern bands of these systems when they are partially filled
to a total integer filling $\nu_T = 1,3$ (including spin and valley degrees of
freedom). A simple possible explanation is from Hartree-Fock mean field theory
which predicts valley and spin polarization in the zero bandwidth limit,
similar to the "quantum Hall ferromagnetism" in Landau levels. Though valley
polarization is implied by the existing experiments, the fate of the spin
degree of freedom is not presently clear. In this paper we propose alternative
valley polarized - but not spin polarized - candidates for the observed QAH
effect. For a valley polarized spinful Chern band at filling $\nu_T=1$, we
describe a class of exotic Chern insulator phases through spin-charge
separation: charge is in a conventional Chern insulator phase with quantized
Hall conductivity, while the spin forms disordered spin liquid phase with
fractionalization, which we dub quantum Hall spin liquids. We construct a
simple class of $Z_2$ quantum Hall spin liquid as analogs of the familiar $Z_2$
spin liquid through slave fermion-schwinger boson parton theory. Condensation
of the spinon from the $Z_2$ quantum Hall spin liquid can lead to a quantum
Hall antiferromagnet which is yet another, less exotic, candidate for the
experimentally observed Chern insulator. We offer several experimental
proposals to probe the quantum Hall spin liquid and the quantum Hall
anti-ferromagnetic phases.

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The categories of this paper are: math
36
The categories of this paper are: cmp-lg
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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: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org