Luttinger Theorem for the Strongly Correlated Fermi Liquid of Composite Fermions

Ajit C. Balram, Csaba Toke, J. K. Jain

Research output: Contribution to journalArticle

27 Citations (Scopus)

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.

Original languageEnglish (US)
Article number186805
JournalPhysical Review Letters
Volume115
Issue number18
DOIs
StatePublished - Oct 29 2015

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Fermi liquids
theorems
fermions
composite materials
symmetry
approximation
electrons
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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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.",
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Luttinger Theorem for the Strongly Correlated Fermi Liquid of Composite Fermions. / Balram, Ajit C.; Toke, Csaba; Jain, J. K.

In: Physical Review Letters, Vol. 115, No. 18, 186805, 29.10.2015.

Research output: Contribution to journalArticle

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