Density‐matrix spectra for integrable models

Ingo Peschel, Matthias Kaulke, Örs Legeza

Type: Article

Publication Date: 1999-02-01

Citations: 23

DOI: https://doi.org/10.1002/andp.19995110203

Abstract

Abstract 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.

Locations

Annalen der Physik - View
arXiv (Cornell University) - View - PDF

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+	Corner transfer matrices of the eight-vertex model. II. The Ising model case	1977	R. J. Baxter
+	Conformal invariance and critical spectrum of corner transfer matrices	1990	Brian Davies Paul A. Pearce
+	Corner transfer matrices and conformal invariance	1987	Ingo Peschel T. T. Truong
+ PDF Chat	Vertex operators in solvable lattice models	1994	Omar Foda Michio Jimbo Tetsuji Miwa Kei Miki Atsushi Nakayashiki
+	Diagonalisation of finite-size corner transfer matrices and related spin chains	1989	T. T. Truong Ingo Peschel
+	Some more results for the Ising square lattice with a corner	1985	Ingo Peschel
+	Corner transfer matrices for the Ising model	1988	Brian Davies
+	On the spectrum of six-vertex corner transfer matrices	1989	Brian Davies
+	Corner transfer matrices of the eight-vertex model. I. Low-temperature expansions and conjectured properties	1976	R. J. Baxter
+ PDF Chat	Accuracy of the density-matrix renormalization-group method	1996	Örs Legeza Gábor Fáth