title: Luttinger Theorem for the Strongly Correlated Fermi Liquid of Composite Fermions.
abstract: While an ordinary Fermi sea is perturbatively robust to interactions, the paradigmatic composite-fermion (CF) Fermi sea arises as a nonperturbative consequence of emergent gauge fields in a system where there was no Fermi sea to begin with. A mean-field picture suggests two Fermi seas, of composite fermions made from electrons or holes in the lowest Landau level, which occupy different areas away from half filling and thus appear to represent distinct states. Using the microscopic theory of composite fermions, which satisfies particle-hole symmetry in the lowest Landau level to an excellent approximation, we show that the Fermi wave vectors at filling factors ν and 1-ν are equal when expressed in units of the inverse magnetic length, and are 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 slightly violate the Luttinger area rule.
authors.affiliation: Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: Ajit C
authors.initials: AC
authors.lastname: Balram
authors.affiliation: BME-MTA Exotic Quantum Phases "Lendület" Research Group, Budapest University of Technology and Economics, Institute of Physics, Budafoki út 8, H-1111 Budapest, Hungary.
authors.forename: Csaba
authors.initials: C
authors.lastname: Tőke
authors.affiliation: Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: J K
authors.initials: JK
authors.lastname: Jain