Density‐matrix spectra for integrable models

Density‐matrix spectra for integrable models

The spectra which occur in numerical density‐matrix renormalization group (DMRG) calculations for quantum chains can be obtained analytically for integrable models via corner transfer matrices. This is shown in detail for the transverse Ising chain and the uniaxial XXZ Heisenberg model and explains...

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Veröffentlicht in:Annalen der Physik 1999-02, Vol.511 (2), p.153-164
Hauptverfasser: Peschel, Ingo, Kaulke, Matthias, Legeza, Örs
Format: Artikel
Sprache:eng
Schlagworte:
Corner transfer matrices
Density‐matrix renormalization
Integrable systems
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Beschreibung
Zusammenfassung:The spectra which occur in numerical density‐matrix renormalization group (DMRG) calculations for quantum chains can be obtained analytically for integrable models via corner transfer matrices. This is shown in detail for the transverse Ising chain and the uniaxial XXZ Heisenberg model and explains in particular their exponential character in these cases.
ISSN:0003-3804
1521-3889
DOI:10.1002/andp.19995110203