We report experimental results of quantum transport through InAs/AlSb/
GaSb/AlSb/InAs heterostructures having well widths of 7.0, 8.0, and 11
.9 nm, respectively, in magnetic fields of up to 8.0 T aligned paralle
l to the epitaxial growth planes. Application of this resonant magneto
tunneling spectroscopy technique allows the well subband dispersions t
o be probed along the wave vector perpendicular to both the growth dir
ection and the applied magnetic field. In all three samples we observe
little change in the current-voltage characteristics below a sample-d
ependent critical magnetic field B-crit. Above this critical field, bo
th the main I-V peak and a subsequent shoulder that forms at high fiel
ds shift in bias in a manner we attribute to be related to the HH2 and
LH1 subbands (where HH and LH denote heavy and light holes), respecti
vely.