|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Information Science and Technology / Faculty of Information Science and Technology >
Peer-reviewed Journal Articles, etc >
A novel quantum transition in a fully frustrated transverse Ising antiferromagnet
| Title: | A novel quantum transition in a fully frustrated transverse Ising antiferromagnet |
| Authors: | Chandra, Anjan Kumar Browse this author | | Inoue, Jun-ichi Browse this author →KAKEN DB | | Chakrabarti, Bikas K. Browse this author |
| Issue Date: | 7-Jan-2009 |
| Publisher: | IOP Publishing |
| Citation: | International Workshop on Statistical-Mechanical Informatics 2008 (IW-SMI 2008), 14–17 September 2008, Sendai International Center, Aoba-ku, Sendai, Japan |
| Journal Title: | Journal of Physics. Conference Series |
| Volume: | 143 |
| Start Page: | 012013 |
| Publisher DOI: | 10.1088/1742-6596/143/1/012013 |
| Abstract: | We consider a long-range Ising antiferromagnet (LRIAF) put in a transverse field. Applying quantum Monte Carlo method, we study the variation of order parameter (spin correlation in Trotter time direction), susceptibility and average energy of the system for various values of the transverse field at different temperatures. The antiferromagnetic order is seen to get immediately broken as soon as the thermal or quantum fluctuations are added. We also discuss the phase diagram for the Sherrington-Kirkpatrick (SK) model with the same LRIAF bias, also in presence of a transverse field. We find that while the antiferromagnetic order is immediately broken as one adds an infinitesimal transverse field or thermal fluctuation to the system, an infinitesimal SK spin glass disorder is enough to induce a stable glass order in the antiferromagnet. This glass order eventually gets destroyed as the thermal or quantum fluctuations increased beyond their threshold values and the transition to para phase occurs. Indications of this novel phase transition are discussed. Because of the presence of full frustration, this surrogate property of the LRIAF for incubation of stable spin glass phase in it (induced by addition of a small disorder) should enable eventually the study of classical and quantum spin glass phases by using some perturbation theory with respect to the disorder. |
| Rights: | This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics: Conference Series. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at http://dx.doi.org/10.1088/1742-6596/143/1/012013. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/35330 |
| Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
|
Submitter: 井上 純一
|
