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

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

2010-03-08

arxiv.org/abs/1003.1542v1

Phys. Rev. B 81, 113301 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.81.113301

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.

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