Autocorrelations from the transfer-matrix density-matrix renormalization-group method

F. Naef, X. Wang, X. Zotos, W. von der Linden

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Extending the transfer-matrix density-matrix renormalization-group algorithm, we are able to calculate imaginary time spin autocorrelations with high accuracy (absolute error textless10-6) over a wide temperature range (0textlessβJtextless20). After analytic continuation using the rules of probability theory along with the entropic prior (MaxEnt), we obtain real frequency spectra for the XY model, the isotropic Heisenberg, and the gapped Heisenberg-Ising model. Available exact results in some limits allow for a critical evaluation of the quality of answers expected from this procedure. We find that high-precision data are still insufficient for resolving specific line shapes such as low-frequency divergences. However, the method is appropriate for identifying low-temperature gaps and peak positions.
Original languageEnglish
Pages (from-to)359
Number of pages1
JournalPhysical Review / B
Volume60
Issue number1
DOIs
Publication statusPublished - 1 Jul 1999

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renormalization group methods
Autocorrelation
autocorrelation
Ising model
line shape
divergence
low frequencies
Temperature
evaluation
temperature

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Autocorrelations from the transfer-matrix density-matrix renormalization-group method. / Naef, F.; Wang, X.; Zotos, X.; von der Linden, W.

In: Physical Review / B, Vol. 60, No. 1, 01.07.1999, p. 359.

Research output: Contribution to journalArticleResearchpeer-review

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