Hamiltonian theory of the fractional quantum Hall effect: Effect of Landau level mixing

G. Murthy; R. Shankar

doi:10.1103/PhysRevB.65.245309

Hamiltonian theory of the fractional quantum Hall effect: Effect of Landau level mixing

G. Murthy, R. Shankar

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We derive an effective Hamiltonian in the lowest Landau level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy, κ=(e²/εl)/ω_c. We then transcribe the Hamiltonian to the composite fermion basis using our Hamiltonian approach, and compute the effect of LL mixing on transport gaps.

Original language	English
Article number	245309
Pages (from-to)	2453091-24530911
Number of pages	22077821
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	65
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevB.65.245309
State	Published - Jun 15 2002

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.65.245309

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abstract = "We derive an effective Hamiltonian in the lowest Landau level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy, κ=(e2/εl)/ωc. We then transcribe the Hamiltonian to the composite fermion basis using our Hamiltonian approach, and compute the effect of LL mixing on transport gaps.",

author = "G. Murthy and R. Shankar",

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AU - Shankar, R.

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N2 - We derive an effective Hamiltonian in the lowest Landau level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy, κ=(e2/εl)/ωc. We then transcribe the Hamiltonian to the composite fermion basis using our Hamiltonian approach, and compute the effect of LL mixing on transport gaps.

AB - We derive an effective Hamiltonian in the lowest Landau level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy, κ=(e2/εl)/ωc. We then transcribe the Hamiltonian to the composite fermion basis using our Hamiltonian approach, and compute the effect of LL mixing on transport gaps.

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U2 - 10.1103/PhysRevB.65.245309

DO - 10.1103/PhysRevB.65.245309

M3 - Article

AN - SCOPUS:0037098506

SN - 0163-1829

VL - 65

SP - 2453091

EP - 24530911

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 24

M1 - 245309

ER -

Hamiltonian theory of the fractional quantum Hall effect: Effect of Landau level mixing

Abstract

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