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The Physical Significance of Singularities in the Chern--Simons Fermi Liquid Description of a Partially Filled Landau Level | | Ady Stern
; Bertrand I. Halperin
; | | Date: |
13 Jul 1995 | | Subject: | cond-mat | | Affiliation: | Harvard | | Abstract: | We analyze the linear response of a half filled Landau level to long wavelength and low frequency driving forces, using Fermi liquid theory for composite fermions. This response is determined by the composite fermions quasi--particle effective mass, $m^*$, and quasi--particle Landau interaction function $f( heta- heta’)$. Analyzing infra--red divergences of perturbation theory, we get an exact expression for $m^*$, and conjecture the form of the $f( heta- heta’)$. We then conclude that in the limit of infinite cyclotron frequency, and small ${f q},omega$, the composite fermion excitation spectrum is continuous for $0 | | Source: | arXiv, cond-mat/9507049 | | Services: | Forum | Review | PDF | Favorites | |
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