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Excitonic condensation under spin-orbit coupling and BEC-BCS crossover
The condensation of electron-hole (e-h) pairs is studied at zero temperature
and in the presence of a weak spin-orbit coupling (SOC) in the inversion-layer
quantum wells. Under realistic conditions, a perturbative SOC can have
observable effects in the order parameter of the experimentally
long-searched-for excitonic condensate. Firstly, the fermion exchange symmetry
is absent for the e-h pairs indicating a counterexample to the known
classification schemes of fermion pairing. With the lack of fermion exchange,
the condensate spin has no definite parity. Additionally, the excitonic SOC
breaks the rotational symmetry yielding a complex order parameter in an
unconventional way, i.e. the phase pattern of the order parameter is a function
of the condensate density. This is manifested through finite off diagonal
components of the static spin susceptibility, suggesting a new experimental
method to confirm an excitonic condensate.Comment: Accepted for publication by Physical Review Letter
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