To refer to this page use:
|Abstract:||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 ν=1/3 and ν=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.|
|Electronic Publication Date:||18-Jun-2012|
|Citation:||Hu, Z-X, Papić, Z, Johri, S, Bhatt, RN, Schmitteckert, P. (2012). Comparison of the density-matrix renormalization group method applied to fractional quantum Hall systems in different geometries. Physics Letters, Section A: General, Atomic and Solid State Physics, 376 (2157 - 2161. doi:10.1016/j.physleta.2012.05.031|
|Pages:||2157 - 2161|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||Physics Letters, Section A: General, Atomic and Solid State Physics|
Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.