Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-orbit coupled Fermi liquid theory of ultra-cold magnetic dipolar
  fermions   We investigate Fermi liquid states of the ultra-cold magnetic dipolar Fermi
gases in the simplest two-component case including both thermodynamic
instabilities and collective excitations. The magnetic dipolar interaction is
invariant under the simultaneous spin-orbit rotation, but not under either the
spin or the orbit one. Therefore, the corresponding Fermi liquid theory is
intrinsically spin-orbit coupled. This is a fundamental feature of magnetic
dipolar Fermi gases different from electric dipolar ones. The Landau
interaction matrix is calculated and is diagonalized in terms of the spin-orbit
coupled partial-wave channels of the total angular momentum J. The leading
thermodynamic instabilities lie in the channels of ferromagnetism hybridized
with the ferronematic order with J = 1+ and the spin-current mode with J = 1-,
where + and - represent even and odd parities, respectively. An exotic
propagating collective mode is identified as spin-orbit coupled Fermi surface
oscillations in which spin distribution on the Fermi surface exhibits a
topologically nontrivial hedgehog configuration.

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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: physics