%0 Book Section %1 statphys23_0099 %A Jagannathan, A. %A Wessel, S. %A Moessner, R. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K antiferromagnets dimensions fluctuations frustration low quantum quasiperiodic statphys23 tilings topic-8 %T Quantum fluctuations and the dependence on local geometry in 2D antiferromagnets %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=99 %X We consider various examples of two dimensional spin S=1/2 systems with nearest neighbor antiferromagnetic interactions. All the interaction strengths are equal, but the environments of the sites, in terms of the coordination number, for example, can vary. We consider first bipartite structures, where the ground state has Néel type order. We argue that the dependence between the local magnetization on the coordination number z, tends to be contrary to the one expected on classical grounds. We present an explanation and illustrate this effect with results obtained by linear spin wave theory and by Quantum Monte Carlo computations for periodic as well as aperiodic systems (the octagonal and the Penrose tilings). We next consider the effects of adding frustration in such structures on the local order parameters.

@incollection{statphys23_0099, abstract = {We consider various examples of two dimensional spin S=1/2 systems with nearest neighbor antiferromagnetic interactions. All the interaction strengths are equal, but the environments of the sites, in terms of the coordination number, for example, can vary. We consider first bipartite structures, where the ground state has Néel type order. We argue that the dependence between the local magnetization on the coordination number z, tends to be contrary to the one expected on classical grounds. We present an explanation and illustrate this effect with results obtained by linear spin wave theory and by Quantum Monte Carlo computations for periodic as well as aperiodic systems (the octagonal and the Penrose tilings). We next consider the effects of adding frustration in such structures on the local order parameters.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Jagannathan, A. and Wessel, S. and Moessner, R.}, biburl = {https://www.bibsonomy.org/bibtex/255a28d81711de07db9d37d08ef633f27/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {1787566db414e0b0ad1a889c1df186aa}, intrahash = {55a28d81711de07db9d37d08ef633f27}, keywords = {antiferromagnets dimensions fluctuations frustration low quantum quasiperiodic statphys23 tilings topic-8}, month = {9-13 July}, timestamp = {2007-06-20T10:16:11.000+0200}, title = {Quantum fluctuations and the dependence on local geometry in 2D antiferromagnets}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=99}, year = 2007 }