Physical Review Research (Aug 2020)

Berry phase in the composite Fermi liquid

  • Guangyue Ji (棘广跃),
  • Junren Shi (施均仁)

DOI
https://doi.org/10.1103/PhysRevResearch.2.033329
Journal volume & issue
Vol. 2, no. 3
p. 033329

Abstract

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We derive the definition of the Berry phase for the adiabatic transport of a composite fermion (CF) in a half-filled composite Fermi liquid (CFL). It is found to be different from that adopted in previous investigations by Geraedts et al. For the standard CFL wave function, we analytically show that the Berry curvature is uniformly distributed in the momentum space. For the Jain-Kamilla wave function, we numerically show that its Berry curvature has a continuous distribution inside the Fermi sea and vanishes outside. We conclude that the CF with respect to both the microscopic wave functions is not a massless Dirac particle.