In a cool neutron star (T<~106 K)
endowed with a rather high magnetic field (B>~1013 G),
a phase transition may occur in the outermost layers.
As a consequence, the neutron star becomes “bare,”
i.e., no gaseous atmosphere sits on the top of the crust.
The surface of a cooling, bare neutron star
does not necessarily emit a blackbody spectrum
because the emissivity is strongly suppressed
at energies below the electron plasma frequency,
ωp.
Since
ωp~1 keV
under the conditions typical of the dense electron gas in the condensate,
the emission from a T~100 eV bare neutron star
will be substantially depressed with respect to
that of a perfect Planckian radiator at most energies.
Here we present a detailed analysis of the emission properties of
a bare neutron star.
In particular, we derive the surface emissivity for an Fe composition
in a range of magnetic fields
and temperatures representative of cooling isolated neutron stars,
like RX J1856.5−3754.
We find that the emitted spectrum is strongly dependent on
the electron conductivity in the solid surface layers.
In the cold electron gas approximation (no electron-lattice interactions),
the spectrum turns out to be a featureless depressed blackbody
in the 0.1–2 keV band with a steeper low-energy distribution.
When damping effects due to collisions between electrons and the ion lattice
(mainly due to electron-phonon interactions) are accounted for,
the spectrum is more depressed at low energies
and spectral features may be present,
depending on the magnetic field strength.
Details of the emitted spectrum are found, however,
to be strongly dependent on the assumed treatment of
the transition from the external vacuum to the metallic surface.
The implications of our results for
RX J1856.5−3754
and other isolated neutron stars are discussed.