%0 Journal Article %1 WOS:000072262000024 %A Goncalves, LL %A Vieira, AP %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 1998 %I ELSEVIER SCIENCE BV %J JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS %K low magnetization, one-dimensional random systems; temperature} {XY-model; %N 1 %P 79-80 %R 10.1016/S0304-8853(97)00414-9 %T Random isotropic one-dimensional XY-model %V 177 %X The 1D isotropic s = 1/2 XY-model (N sites), with random exchange interaction in a transverse random field is considered. The random variables satisfy bimodal quenched distributions. The solution is obtained by using the Jordan-Wigner fermionization and a canonical transformation, reducing the problem to diagonalizing an N x N matrix, corresponding to a system of N noninteracting fermions. The calculations are performed numerically for N = 1000, and the held-induced magnetization at T = 0 is obtained by averaging the results for the different samples. For the dilute case, in the uniform held limit, the magnetization exhibits various discontinuities, which are the consequence of the existence of disconnected finite clusters distributed along the chain. Also in this limit, for finite exchange constants J(A) and J(B), as the probability of J(A) varies from one to zero, the saturation field is seen to vary from Gamma(A) to Gamma(B), where Gamma(A) (Gamma(B)) is the value of the saturation field for the pure case with exchange constant equal to J(A) (J(B)). (C) 1998 Elsevier science B.V. All rights reserved.

@article{WOS:000072262000024, abstract = {The 1D isotropic s = 1/2 XY-model (N sites), with random exchange interaction in a transverse random field is considered. The random variables satisfy bimodal quenched distributions. The solution is obtained by using the Jordan-Wigner fermionization and a canonical transformation, reducing the problem to diagonalizing an N x N matrix, corresponding to a system of N noninteracting fermions. The calculations are performed numerically for N = 1000, and the held-induced magnetization at T = 0 is obtained by averaging the results for the different samples. For the dilute case, in the uniform held limit, the magnetization exhibits various discontinuities, which are the consequence of the existence of disconnected finite clusters distributed along the chain. Also in this limit, for finite exchange constants J(A) and J(B), as the probability of J(A) varies from one to zero, the saturation field is seen to vary from Gamma(A) to Gamma(B), where Gamma(A) (Gamma(B)) is the value of the saturation field for the pure case with exchange constant equal to J(A) (J(B)). (C) 1998 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 = {Goncalves, LL and Vieira, AP}, biburl = {https://www.bibsonomy.org/bibtex/24a4167d8e0c613174e8c93e5773e5076/ppgfis_ufc_br}, doi = {10.1016/S0304-8853(97)00414-9}, interhash = {a147b13d5d79c11f48abca226ef666c0}, intrahash = {4a4167d8e0c613174e8c93e5773e5076}, issn = {0304-8853}, journal = {JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS}, keywords = {low magnetization, one-dimensional random systems; temperature} {XY-model;}, note = {International Conference on Magnetism, CAIRNS, AUSTRALIA, JUL 27-AUG 01, 1997}, number = 1, pages = {79-80}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Random isotropic one-dimensional XY-model}, tppubtype = {article}, volume = 177, year = 1998 }