TY - JOUR
T1 - Hamiltonian theory of the half-filled Landau level with disorder
T2 - Application to recent NMR data
AU - Murthy, Ganpathy
AU - Shankar, R.
PY - 2007/8/23
Y1 - 2007/8/23
N2 - The Hamiltonian theory of the fractional quantum Hall effect is an operator description that subsumes many properties of composite fermions, applies to gapped and gapless cases, and has been found to provide results in quantitative accord with data on gaps, relaxation rates, and polarizations at temperatures of 300 mK and above. The only free parameter is λ, which is related to the sample thickness and appears in the Zhang-Das Sarma potential v (q) = 2π e2 κq e-qlλ where l and κ are the magnetic length and dielectric constant. Here we examine the recent data of Tracy and Eisenstein on the nuclear magnetic resonance relaxation rate at filling factor ν= 1 2 deduced from resistivity measurements at temperatures as low as 45 mK. We find that their results can be satisfactorily described by this theory, if in addition to a v (q) with λ 2, a constant disorder width Γ 100 mK is incorporated.
AB - The Hamiltonian theory of the fractional quantum Hall effect is an operator description that subsumes many properties of composite fermions, applies to gapped and gapless cases, and has been found to provide results in quantitative accord with data on gaps, relaxation rates, and polarizations at temperatures of 300 mK and above. The only free parameter is λ, which is related to the sample thickness and appears in the Zhang-Das Sarma potential v (q) = 2π e2 κq e-qlλ where l and κ are the magnetic length and dielectric constant. Here we examine the recent data of Tracy and Eisenstein on the nuclear magnetic resonance relaxation rate at filling factor ν= 1 2 deduced from resistivity measurements at temperatures as low as 45 mK. We find that their results can be satisfactorily described by this theory, if in addition to a v (q) with λ 2, a constant disorder width Γ 100 mK is incorporated.
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U2 - 10.1103/PhysRevB.76.075341
DO - 10.1103/PhysRevB.76.075341
M3 - Article
AN - SCOPUS:34548274918
SN - 1098-0121
VL - 76
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 7
M1 - 075341
ER -