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

Abstract

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

References in corpus (4)

• Two-dimensional electrons occupying multiple valleys in AlAs
• Valley polarization and susceptibility of composite fermions around nu=3/2
• Density dependence of valley polarization energy for composite fermions
• Breakdown of Particle-Hole Symmetry in the Lowest Landau Level Revealed by Tunneling Spectroscopy

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