  Phosphorene has attracted tremendous interest recently due to its intriguing
electronic properties. However, the thermal transport properties of
phosphorene, especially for its allotropes, are still not well-understood. In
this work, we calculate the thermal conductivities of five phosphorene
allotropes ({\alpha}-, \b{eta}-, {\gamma}-, {\delta}- and {\zeta}-phase) by
using phonon Boltzmann transport theory combined with first-principles
calculations. It is found that the {\alpha}-phosphorene exhibits considerable
anisotropic thermal transport, while it is less obvious in the other four
phosphorene allotropes. The highest thermal conductivity is found in the
\b{eta}-phosphorene, followed by {\delta}-, {\gamma}- and {\zeta}-phase. The
much lower thermal conductivity of the {\zeta}-phase can be attributed to its
relatively complex atomic configuration. It is expected that the rich thermal
transport properties of phosphorene allotropes can have potential applications
in the thermoelectrics and thermal management.
