Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What does the giant thermal Hall effect observed in the high temperature
  superconductors imply?   A giant negative thermal Hall signal is discovered recently in the pseudogap
phase of the high temperature superconductors\cite{Taillefer}. The
Wiedemann-Franz law relating the charge and thermal transport is found to be
strongly violated as the thermal Hall signal increases monotonically with
decreasing doping in the pseudogap phase when the Hall response of the system
is seen to be strongly suppressed. In particular, the thermal Hall signal is
the strongest in the parent compounds, which are antiferromagnetic insulators.
People believe that such an observation may challenge our understanding of the
parent compounds as a spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the
square lattice, since it is forbidden by a well known no-go "theorem" for
quantum magnets with an edge-sharing lattice. Here we show that the observed
thermal Hall signal can be naturally understood as the orbital magnetic
response of the quantum Heisenberg model on square lattice. We show that the
thermal Hall signal is in fact a measure of the spin chirality fluctuation in
the system. The universal observation of the giant negative thermal Hall signal
in and only in the pseudogap phase implies that the antiferromagnetic
correlation between local spins is at the root of the pseudogap phenomena. It
also implies that the pseudogap phenomena in the cuprates is always accompanied
by strong spin chirality fluctuation, which is suppressed only when the local
spin fluctuation at low energy is totally replaced by itinerant quasiparticle
behavior at sufficiently large doping.

3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat