Hamiltonian description of composite fermions: Calculation of gaps

Ganpathy Murthy; R. Shankar

doi:10.1103/PhysRevB.59.12260

Hamiltonian description of composite fermions: Calculation of gaps

Ganpathy Murthy, R. Shankar

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Abstract

We analytically calculate gaps for the 1/3, 2/5, and 3/7 polarized and partially polarized Fractional Quantum Hall states based on the Hamiltonian Chern-Simons theory we have developed. For a class of potentials that are soft at high momenta (due to the finite thickness of the sample) we find good agreement with numerical and experimental results.

Original language	English
Pages (from-to)	12260-12263
Number of pages	4
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	59
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevB.59.12260
State	Published - 1999

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.59.12260

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title = "Hamiltonian description of composite fermions: Calculation of gaps",

abstract = "We analytically calculate gaps for the 1/3, 2/5, and 3/7 polarized and partially polarized Fractional Quantum Hall states based on the Hamiltonian Chern-Simons theory we have developed. For a class of potentials that are soft at high momenta (due to the finite thickness of the sample) we find good agreement with numerical and experimental results.",

author = "Ganpathy Murthy and R. Shankar",

year = "1999",

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AU - Shankar, R.

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AB - We analytically calculate gaps for the 1/3, 2/5, and 3/7 polarized and partially polarized Fractional Quantum Hall states based on the Hamiltonian Chern-Simons theory we have developed. For a class of potentials that are soft at high momenta (due to the finite thickness of the sample) we find good agreement with numerical and experimental results.

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JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 19

ER -

Hamiltonian description of composite fermions: Calculation of gaps

Abstract

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