Seminar "Coherence-Correlations-Complexity", Dept. of Theoretical Physics, Wrocław University of Technology
Sala 320a bud. A-1, Politechnika Wrocławska
Luttinger’s theorem for the strongly correlated Fermi liquid of composite fermions
dr Csaba Tőke
Department of Theoretical Physics, Budapest University of Technology and Economics
While an ordinary Fermi sea is perturbatively robust to interactions, the paradigmatic composite-fermion (CF) Fermi sea arises as a non-perturbative consequence of emergent gauge fields in a system where there was no Fermi sea to begin with. A mean-field picture produces two Fermi seas, of composite fermions made from electrons or holes in the lowest Landau level, which appear to be topologically distinct and, away from the half filled Landau level, occupy different areas. We provide evidence that these are dual descriptions of the same state. We calculate the Fermi wave vector in a particle-hole symmetric theory confined to the lowest Landau level, and find our results to be generally consistent with the experimental findings of Kamburov et al. [Phys. Rev. Lett. 113, 196801 (2014)]. Our calculations suggest that the area of the CF Fermi sea may not strictly satisfy the Luttinger theorem.
