Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bond disordered spin liquid and the honeycomb iridate H$_3$LiIr$_2$O$_6$
  $-$ abundant low energy density of states from random Majorana hopping   The 5d-electron honeycomb compound H$_3$LiIr$_2$O$_3$ [K. Kitagawa $et$
$al.$, Nature 554, 341-345 (2018)] exhibits an apparent quantum spin liquid
(QSL) state. In this intercalated spin-orbital compound, a remarkable pile up
of low-energy states was experimentally observed in specific heat and nuclear
magnetic (NMR) spin relaxation. We show that a bond disordered Kitaev model can
naturally account for this phenomenon, suggesting that disorder plays an
essential role in its theoretical description. In the exactly soluble Kitaev
model, we obtain, via spin fractionalization, a random bipartite hopping
problem of Majorana fermions in a random flux background. This has a divergent
low-energy density of states (DOS) of the required power-law form $N(E)\propto
E^{-\nu}$ with a drifting exponent which takes on the value $\nu \approx 1/2$
for relatively strong bond disorder. Breaking time reversal symmetry (TRS)
removes the divergence of the DOS, as does applying a magnetic field in
experiment. We discuss the implication of our scenario for future experiments
and its broader implications.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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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: nucl-th
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The categories of this paper are: math
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The categories of this paper are: physics