Density matrix renormalization group study of incompressible fractional quantum Hall states.

نویسندگان

  • A E Feiguin
  • E Rezayi
  • C Nayak
  • S Das Sarma
چکیده

We develop the density-matrix renormalization group (DMRG) technique for numerically studying incompressible fractional quantum Hall (FQH) states on the sphere. We calculate accurate estimates for ground-state energies and excitation gaps at FQH filling fractions nu=1/3 and nu=5/2 for systems that are considerably larger than the largest ever studied by exact diagonalization. We establish, by carefully comparing with existing numerical results on smaller systems, that DMRG is a highly effective numerical tool for studying incompressible FQH states.

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عنوان ژورنال:
  • Physical review letters

دوره 100 16  شماره 

صفحات  -

تاریخ انتشار 2008