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- W2065240538 abstract "We study the effects of electromagnetic fluctuations on the ground state and elementary excitations of a quantum Hall liquid. For filling factor ensuremath{nu}=1/k we find that (i) the quasihole charge ${mathit{e}}^{mathrm{*}}$ and statistics angle ensuremath{theta} have a correction given by ensuremath{Delta}${mathit{e}}^{mathrm{*}}$=${mathrm{ensuremath{alpha}}}^{2}$ensuremath{mu}e/ensuremath{epsilon}${mathit{k}}^{3}$ and ensuremath{Delta}ensuremath{theta}=ensuremath{pi}ensuremath{Delta}${mathit{e}}^{mathrm{*}}$/e, where ensuremath{alpha} is the fine-structure constant, -e is the electron charge, and ensuremath{epsilon} and ensuremath{mu} are the dielectric constant and the magnetic permeability of the host semiconductor, respectively; (ii) the quasihole charge-density profile decays as 1/${mathit{r}}^{3}$ at large distances; (iii) collective modes with ${mathrm{ensuremath{omega}}}_{mathit{q}}$>censuremath{Vert}qensuremath{Vert}/ ensuremath{surd}ensuremath{mu}ensuremath{epsilon} are damped; in particular, at q=0, the cyclotron mode acquires an intrinsic linewidth ensuremath{Delta}${mathrm{ensuremath{omega}}}_{mathit{c}}$ given by ensuremath{Delta}${mathrm{ensuremath{omega}}}_{mathit{c}}$/${mathrm{ensuremath{omega}}}_{mathit{c}}$=(2ensuremath{alpha}/k) ensuremath{surd}ensuremath{epsilon}/ensuremath{mu} ; (iv) the Girvin-MacDonald order-parameter correlation function decays as ${mathit{r}}^{mathrm{ensuremath{-}}mathrm{ensuremath{eta}}(mathit{r})}$ at large distances, where ensuremath{eta}(r)=(k/2) +(ensuremath{alpha}/ensuremath{pi}) ensuremath{surd}ensuremath{mu}/ensuremath{epsilon} ln(r/ensuremath{xi}); (v) despite these effects, the Hall resistivity is unchanged by electromagnetic fluctuations." @default.
- W2065240538 created "2016-06-24" @default.
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- W2065240538 date "1992-12-15" @default.
- W2065240538 modified "2023-09-24" @default.
- W2065240538 title "Electrodynamics of a quantum Hall liquid" @default.
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- W2065240538 doi "https://doi.org/10.1103/physrevb.46.16152" @default.
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