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
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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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