Electron-electron interactions in a thin toroid

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Abstract

A free-electron gas confined to a thin toroid is studied. Due to the cylindrical symmetry, the longitudinal angular momentum (L) is conserved in the electron-electron interactions. The Coulomb matrix elements, which satisfy the conservation of the transverse angular momentum (J), are much larger than the others. Therefore, the electronic excitations are well described by L and J. The L- and J-decoupled plasmons are investigated by evaluating the dielectric function within the random-phase approximation (RPA). They, respectively, correspond to the coherent plasma oscillations along the longitudinal and transverse directions. For the (L, J = 0) plasmons, the RPA results are almost the same with those of the Tomonaga model.

Original languageEnglish
Pages (from-to)140-143
Number of pages4
JournalJournal of the Physical Society of Japan
Volume68
Issue number1
DOIs
Publication statusPublished - 1999 Jan 1

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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