Algorithm for calculation of the maximum eigenvalue of transfer matrix for the linear S = 1/2 Heisenberg model
Bieliński M., Kamieniarz Grzegorz
Computational Physics Division,
Institute of Physics, A. Mickiewicz University,
ul. Umultowska 85, 61-614 Poznań, Poland
e-mail: gjk@pearl.amu.edu.pl
DOI: 10.12921/cmst.1997.03.01.83-86
OAI: oai:lib.psnc.pl:485
Abstract:
The paper presents the algorithm and description of the meigval procedure
written in FORTRAN 90 language which was designed for calculation of the
maximum eigenvalue of transfer matrix for one-dimensional S = 1/2 Heisenberg
model. The procedure is available at the Poznań Supercomputing and Networking
Centre on a Cray J916 supercomputer in the numerical procedure library
/ l i b / m e s t a t . a .
References:
[1] H. F. Trotter, Proc. Amer. Math. Soc. 10 (1959) 545
[2] M. Suzuki, Prog. Theor. Phys. 56 (1976) 1454
[3] L. S. Campana, A. Caramico, F. Esposito, U. Esposito, G. Kamieniarz,
Phys. Rev. B 53 (1996) 2594
[4] T. Delica, H. Leschke, Physica A 168 (1990) 736
The paper presents the algorithm and description of the meigval procedure
written in FORTRAN 90 language which was designed for calculation of the
maximum eigenvalue of transfer matrix for one-dimensional S = 1/2 Heisenberg
model. The procedure is available at the Poznań Supercomputing and Networking
Centre on a Cray J916 supercomputer in the numerical procedure library
/ l i b / m e s t a t . a .
[1] H. F. Trotter, Proc. Amer. Math. Soc. 10 (1959) 545
[2] M. Suzuki, Prog. Theor. Phys. 56 (1976) 1454
[3] L. S. Campana, A. Caramico, F. Esposito, U. Esposito, G. Kamieniarz,
Phys. Rev. B 53 (1996) 2594
[4] T. Delica, H. Leschke, Physica A 168 (1990) 736
