We report electron and thermal transport in InAs nanostructure free-st
anding wires fabricated by electron beam lithography and wet-chemical
etching on an InAs/AlGaSb heterostructure grown by molecular beam epit
axy. Conductance measurements of InAs free-standing wires with the thi
ckness of 150-550 angstrom and a few thousand angstroms wide were cond
ucted by non-dissipative AC measurement over the temperature range bet
ween 4.2 and 40 K. The dependence of resistance on heating current rev
ealed that the Wiedemann-Franz law holds when the power dissipation is
below almost-equal-to 3 nJ. Above the critical power dissipation, the
I-V characteristics show deviation from the simulation curve which ta
kes into account the electric contribution, the phonon drag thermopowe
r, the diffusive thermopower, the electron-phonon generation term, bla
ckbody radiation, and thermal diffusion from the surface to the helium
atmosphere of the cryostat. The experimental results suggest some oth
er heat conduction mechanism which does not contribute to the electric
conduction.