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Density‐matrix spectra for integrable models
Author(s) -
Peschel Ingo,
Kaulke Matthias,
Legeza Örs
Publication year - 1999
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199902)8:2<153::aid-andp153>3.0.co;2-n
Subject(s) - density matrix renormalization group , integrable system , ising model , transfer matrix , physics , renormalization group , quantum , mathematical physics , spectral line , quantum mechanics , exponential function , heisenberg model , character (mathematics) , matrix (chemical analysis) , renormalization , density matrix , statistical physics , quantum electrodynamics , condensed matter physics , mathematical analysis , mathematics , materials science , antiferromagnetism , geometry , computer science , computer vision , composite material
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.