Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States

Details Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States

2007-06-29

arxiv.org/abs/0706.4469v2

Phys. Rev. Lett. 100, 166803 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.100.166803

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 effective numerical tool for studying incompressible FQH states.

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