Density matrix renormalization group study of incompressible fractional quantum Hall states

被引：95

作者：

Feiguin, A. E. ^{[1
]}

Rezayi, E. ^{[2
]}

Nayak, C. ^{[1
]}

Das Sarma, S. ^{[3
]}

机构：

[1] Univ Calif Santa Barbara, Microsoft Stn Q, Santa Barbara, CA 93106 USA

[2] Calif State Univ Los Angeles, Dept Phys & Astron, Los Angeles, CA 90032 USA

[3] Univ Maryland, Dept Phys, Condensed Matter Theory Ctr, College Pk, MD 20742 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 16期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.100.166803

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4

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