Partial long-range order in antiferromagnetic Potts models | |
Xiang, T | |
刊名 | PHYSICAL REVIEW B |
2014 | |
卷号 | 90期号:14页码:144424 |
关键词 | HEISENBERG SPIN SYSTEM EVERY PLANAR MAP ISING-MODELS PHASE-TRANSITIONS PARTIAL DISORDER 1ST-ORDER TRANSITION GROUND-STATE MONTE-CARLO LATTICE TEMPERATURE |
ISSN号 | 1098-0121 |
通讯作者 | Qin, MP (reprint author), Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China. |
英文摘要 | The Potts model plays an essential role in classical statistical mechanics, illustrating many fundamental phenomena. One example is the existence of partially long-range-ordered states, in which some degrees of freedom remain disordered. This situation may arise from frustration of the interactions, but also from an irregular but unfrustrated lattice structure. We study partial long-range order in a range of antiferromagnetic q-state Potts models on different two-dimensional lattices and for all relevant values of q. We exploit the power of tensor-based numerical methods to evaluate the partition function of these models and hence to extract the key thermodynamic properties (entropy, specific heat, magnetization, and susceptibility) giving deep insight into the phase transitions and ordered states of each system. Our calculations reveal a range of phenomena related to partial ordering, including different types of entropy-driven phase transition, the role of lattice irregularity, very large values of the critical q(c), and double phase transitions. |
学科主题 | Physics |
收录类别 | SCI |
资助信息 | National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] |
原文出处 | http://dx.doi.org/10.1103/PhysRevB.90.144424 |
语种 | 英语 |
WOS记录号 | WOS:000344022000003 |
公开日期 | 2015-06-03 |
内容类型 | 期刊论文 |
源URL | [http://ir.itp.ac.cn/handle/311006/15612] |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
推荐引用方式 GB/T 7714 | Xiang, T. Partial long-range order in antiferromagnetic Potts models[J]. PHYSICAL REVIEW B,2014,90(14):144424. |
APA | Xiang, T.(2014).Partial long-range order in antiferromagnetic Potts models.PHYSICAL REVIEW B,90(14),144424. |
MLA | Xiang, T."Partial long-range order in antiferromagnetic Potts models".PHYSICAL REVIEW B 90.14(2014):144424. |
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