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Analysis of a long-range random field quantum antiferromagnetic Ising model
| Title: | Analysis of a long-range random field quantum antiferromagnetic Ising model |
| Authors: | Chakrabarti, Bikas K. Browse this author | | Das, Arnab Browse this author | | Inoue, Jun-ichi Browse this author →KAKEN DB |
| Keywords: | spin glasses and other random magnets | | quantum statistical mechanics | | probability theory | | stochastic processes and statistics |
| Issue Date: | 2006 |
| Publisher: | EDP Sciences, Società Italiana di Fisica, Springer-Verlag |
| Journal Title: | The European Physical Journal B. Condensed Matter Physics |
| Volume: | 51 |
| Start Page: | 321 |
| End Page: | 329 |
| Publisher DOI: | 10.1140/epjb/e2006-00226-6 |
| Abstract: | We introduce a solvable quantum antiferromagnetic model. The model, with Ising spins in a transverse field, has infinite range antiferromagnetic interactions and random fields on each site following an arbitrary distribution. As is well-known, frustration in the random field Ising model gives rise to a many valley structure in the spin-configuration space. In addition, the antiferromagnetism also induces a regular frustration even for the ground state. In this paper, we investigate analytically the critical phenomena in the model, having both randomness and frustration and we report some analytical results for it. |
| Rights: | The original publication is available at www.eurphysj.org |
| Relation: | http://www.eurphysj.org/ |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/13698 |
| 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)
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Submitter: 井上 純一
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