%0 Journal Article %1 WOS:000088349200008 %A Costa, UMS %A de Souza, AF %A Lyra, ML %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 2000 %I ELSEVIER SCIENCE BV %J PHYSICA A %K Heisenberg damage; model} of {spreading %N 1-2 %P 42-47 %R 10.1016/S0378-4371(00)00125-4 %T Diagrammatic damage spreading in the quantum Heisenberg ferromagnet %V 283 %X The Handscomb Monte Carlo method is a powerful tool for the investigation of the critical properties of quantum spin models. The sample space in this technique is constructed over the space of ordered Mayer's diagrams and it is the diagrammatic series of the partition function that is calculated by means of the Monte Carlo method. In this work, we apply a damage-spreading algorithm to study the quantum S = 1/2 Heisenberg 3D ferromagnet. The damage is introduced as a perturbation in the bond structure of the Mayer's diagrams. A cyclic Hamming distance is shown to be closely related to the static spin susceptibility. Using a phenomenological renormalization group analysis we show that the cyclic Hamming distance scales near T-c as NDc = L-gamma/nu g(tL(1/nu)), with nu = 0.7 and gamma/nu = 1.99. (C) 2000 Elsevier Science B.V. All rights reserved.

@article{WOS:000088349200008, abstract = {The Handscomb Monte Carlo method is a powerful tool for the investigation of the critical properties of quantum spin models. The sample space in this technique is constructed over the space of ordered Mayer's diagrams and it is the diagrammatic series of the partition function that is calculated by means of the Monte Carlo method. In this work, we apply a damage-spreading algorithm to study the quantum S = 1/2 Heisenberg 3D ferromagnet. The damage is introduced as a perturbation in the bond structure of the Mayer's diagrams. A cyclic Hamming distance is shown to be closely related to the static spin susceptibility. Using a phenomenological renormalization group analysis we show that the cyclic Hamming distance scales near T-c as NDc = L-gamma/nu g(tL(1/nu)), with nu = 0.7 and gamma/nu = 1.99. (C) 2000 Elsevier Science B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, author = {Costa, UMS and de Souza, AF and Lyra, ML}, biburl = {https://www.bibsonomy.org/bibtex/2e0ddd699d48d0677ef89528e82f8b35b/ppgfis_ufc_br}, doi = {10.1016/S0378-4371(00)00125-4}, interhash = {d965dbebf77ad4f76a66195221fd1b1b}, intrahash = {e0ddd699d48d0677ef89528e82f8b35b}, issn = {0378-4371}, journal = {PHYSICA A}, keywords = {Heisenberg damage; model} of {spreading}, note = {VIth Latin American Workshop on Nonlinear Phenomena LAWNP'99/XIIth MEDYFINOL Conference on Statistical Physics of Dynamic and Complex Systems, CORDOBE, ARGENTINA, OCT 12-16, 1999}, number = {1-2}, pages = {42-47}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Diagrammatic damage spreading in the quantum Heisenberg ferromagnet}, tppubtype = {article}, volume = 283, year = 2000 }