715 K
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TitleQuasiparticle Aggregation in the Fractional Quantum Hall Effect
Author(s)Laughlin, R. B.
Publication DateOctober 10, 1984
Report NumberUCRL-91618
Unique IdentifierACC0124
Other NumbersLegacy ID: DE85001574; OSTI ID: 6349609; CONF-840879-10
Research OrgLawrence Livermore National Lab., CA (USA)
Contract NoW-7405-ENG-48
Sponsoring OrgUS Department of Energy (DOE)
Other Information17th International Conference on the Physics of Semiconductors; 6 Aug 1984; San Francisco, CA, USA
Subject645400 -- High Energy Physics -- Field Theory; Hall Effect -- Quantum Mechanics; Quasi Particles -- Hall Effect; Eigenstates; Elementary Particles
KeywordsMechanics
Related Web PagesRobert B. Laughlin and the Fractional Quantum Hall Effect
AbstractQuasiparticles in the Fractional Quantum Hall Effect behave qualitatively like electrons confined to the lowest landau level, and can do everything electrons can do, including condense into second generation Fractional Quantum Hall ground states. I review in this paper the reasoning leading to variational wavefunctions for ground state and quasiparticles in the 1/3 effect. I then show how two-quasiparticle eigenstates are uniquely determined from symmetry, and how this leads in a natural way to variational wavefunctions for composite states which have the correct densities (2/5, 2/7, ...). I show in the process that the boson, anyon and fermion representations for the quasiparticles used by Haldane, Halperin, and me are all equivalent. I demonstrate a simple way to derive Halperin`s multiple-valued quasiparticle wavefunction from the correct single-valued electron wavefunction. (auth)
715 K
17 pp.
 
View Document 
  


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