Composite fermion valley polarization energies: Evidence for particle-hole asymmetry

In an ideal two-component two-dimensional electron system, particle-hole symmetry dictates that the fractional quantum Hall states around $ν= 1/2$ are equivalent to those around $ν= 3/2$. We demonstrate that composite fermions (CFs) around $ν= 1/2$ in AlAs possess a valley degree of freedom like their counterparts around $ν= 3/2$. However, focusing on $ν= 2/3$ and 4/3, we find that the energy needed to completely valley polarize the CFs around $ν= 1/2$ is considerably smaller than the corresponding value for CFs around $ν= 3/2$ thus betraying a particle-hole symmetry breaking.

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