Testing the Landau Fermi-liquid description of the fractional quantum Hall effect

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 8, 2001, Pages

  Mandal, Sudhansu S ^a   Jain, J K ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHEMICAL COMPOSITION; DISPERSION; FERMION; MATHEMATICAL COMPUTING; PARTICLE RADIATION; QUANTUM CHEMISTRY; QUANTUM MECHANICS; QUANTUM THEORY; VALIDATION PROCESS;

EID: 0035880953     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.081302     Document Type: Article

References (22)

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18. At electron filling (formula presented), the system maps into composite fermions at an effective filling (formula presented), with an effective magnetic field (formula presented). The Landau mass, (formula presented), is defined by (formula presented). Assuming that electrons are confined to their lowest LL, the only energy scale in the problem is the interaction energy, and therefore we must have (formula presented), where (formula presented) is the magnetic length, (formula presented) is the dielectric constant of the background material (which will be taken to be (formula presented), as appropriate for GaAs), and (formula presented) is the dimensionless cyclotron energy in units of (formula presented). For GaAs, the relation (formula presented) can be conveniently expressed as (formula presented) where (formula presented) is the electron mass in vacuum, (formula presented) is the magnetic field measured in Tesla, and the “normalized” Landau mass is given by (formula presented) for GaAs. Here, (formula presented) is only a convenient unit; the composite fermion mass is not related to it in any way.
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21. We have considered only the CF LLs with (formula presented). For (formula presented), this restricts us to particle-hole pairs with (formula presented). However, for (formula presented), we are able to go to much larger L, thanks to the fact that the states involving excitations into high CF LLs are spurious, as explained in the text.
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