Comparison of the density-matrix renormalization group method applied to fractional quantum Hall systems in different geometries

被引：28

作者：

Hu, Zi-Xiang ^{[1
,2
]}

Papic, Z. ^{[1
]}

Johri, S. ^{[1
]}

Bhatt, R. N. ^{[1
]}

Schmitteckert, Peter ^{[3
]}

机构：

[1] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA

[2] ChongQing Univ, Dept Phys, Chongqing 400044, Peoples R China

[3] Forschungszentrum Karlsruhe, Inst Nanotechnol, D-76021 Karlsruhe, Germany

来源：

PHYSICS LETTERS A | 2012年 / 376卷 / 30-31期

关键词：

LANDAU-LEVEL; STATES; EXCITATIONS; FLUID;

D O I：

10.1016/j.physleta.2012.05.031

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report a systematic study of the fractional quantum Hall effect (FQHE) using the density-matrix renormalization group (DMRG) method on two different geometries: the sphere and the cylinder. We provide convergence benchmarks based on model Hamiltonians known to possess exact zero-energy ground states, as well as an analysis of the number of sweeps and basis elements that need to be kept in order to achieve the desired accuracy. The ground state energies of the Coulomb Hamiltonian at nu = 1/3 and nu = 5/2 filling are extracted and compared with the results obtained by previous DMRG implementations in the literature. A remarkably rapid convergence in the cylinder geometry is noted and suggests that this boundary condition is particularly suited for the application of the DMRG method to the FQHE. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：2157 / 2161

页数：5

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