ALGORITHM FOR CALCULATION OF THE PARTITION FUNCTION OF FRUSTRATED S = 1/2 HEISENBERG CHAINS
Szukowski G., Bieliński M., Kamieniarz Grzegorz
Institute of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
Received:
Received 25 January 2002
DOI: 10.12921/cmst.2002.08.01.97-101
OAI: oai:lib.psnc.pl:531
Abstract:
The paper presents the algorithm for calculation of the maximum eigenvalue of the transfer matrix for one-dimensional S=1/2 Heisenberg model with nearest and next-nearest neighbours interactions. This value permits a calculation of the partition function and free energy of the quantum system. This algorithm is implemented in the mevnnn procedure written in FORTRAN 90. The procedure is available at the Poznań Supercomputing and Networking Center on Cray T3E supercomputer in the library/ u s r / l o c a l / l i b / l i b m s . a
References:
[1] G. Kamieniarz, M. Bieliński, J.-P. Renard, Phys. Rev. B60, 14521 (1999).
[2] M. Bieliński, G. Kamieniarz, G. Szukowski, M. Baran, S. Dyeyev, Acta Phys. Polon. B32, 3433
(2001).
[3] H. F. Trotter, Proc. Amer. Math. Soc. 10, 545 (1959).
[4] M. Suzuki, Physica A194, 432 (1993).
[5] L. S. Campana, A. Caramico, F. Esposito, U. Esposito, G. Kamieniarz, Phys. Rev. B53, 2594
(1996).
The paper presents the algorithm for calculation of the maximum eigenvalue of the transfer matrix for one-dimensional S=1/2 Heisenberg model with nearest and next-nearest neighbours interactions. This value permits a calculation of the partition function and free energy of the quantum system. This algorithm is implemented in the mevnnn procedure written in FORTRAN 90. The procedure is available at the Poznań Supercomputing and Networking Center on Cray T3E supercomputer in the library/ u s r / l o c a l / l i b / l i b m s . a
[1] G. Kamieniarz, M. Bieliński, J.-P. Renard, Phys. Rev. B60, 14521 (1999).
[2] M. Bieliński, G. Kamieniarz, G. Szukowski, M. Baran, S. Dyeyev, Acta Phys. Polon. B32, 3433
(2001).
[3] H. F. Trotter, Proc. Amer. Math. Soc. 10, 545 (1959).
[4] M. Suzuki, Physica A194, 432 (1993).
[5] L. S. Campana, A. Caramico, F. Esposito, U. Esposito, G. Kamieniarz, Phys. Rev. B53, 2594
(1996).