Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States

A. E. Feiguin, E. Rezayi, C. Nayak, S. Das Sarma
2008 Physical Review Letters  
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 excitationgaps at FQH filling fractions \nu=1/3 and \nu=5/2 for systems that are almost twice as large as the largest ever studied by exact diagonalization. We establish, by carefully comparing with existing numerical results on smaller systems, that DMRG is a highly
more » ... numerical tool for studying incompressible FQH states.
doi:10.1103/physrevlett.100.166803 pmid:18518233 fatcat:itpzotypbrbqnalxddoemkgrra