Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-09-02
Phys Rev B 53 14349(1996)
Physics
Condensed Matter
Strongly Correlated Electrons
22 pages, 7 figures
Scientific paper
10.1103/PhysRevB.53.14349
White's density matrix renormalization group ({DMRG}) method has been applied to the one-dimensional Ising model in a transverse field ({ITF}), in order to study the accuracy of the numerical algorithm. Due to the exact solubility of the {ITF} for any finite chain length, the errors introduced by the basis truncation procedure could have been directly analysed. By computing different properties, like the energies of the low-lying levels or the ground-state one- and two-point correlation functions, we obtained a detailed picture, how these errors behave as functions of the various model and algorithm parameters. Our experience with the {ITF} contributes to a better understanding of the {DMRG} method, and may facilitate its optimization in other applications.
Fáth Gabor
Legeza Örs
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