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Partial long-range order in antiferromagnetic Potts models
Qin, MP; Chen, QN; Xie, ZY; Chen, J; Yu, JF; Zhao, HH; Normand, B; Xiang, T; Qin, MP (reprint author), Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China.
2014
发表期刊PHYSICAL REVIEW B
ISSN1098-0121
卷号90期号:14页码:144424
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.
部门归属[Qin, M. P. ; Xie, Z. Y. ; Chen, J. ; Yu, J. F. ; Zhao, H. H. ; Xiang, T.] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China ; [Chen, Q. N.] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China ; [Normand, B.] Renmin Univ China, Dept Phys, Beijing 100872, Peoples R China ; [Xiang, T.] Collaborat Innovat Ctr Quantum Matter, Beijing, Peoples R China
关键词Heisenberg Spin System Every Planar Map Ising-models Phase-transitions Partial Disorder 1st-order Transition Ground-state Monte-carlo Lattice Temperature
学科领域Physics
资助者National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703]
DOI10.1103/PhysRevB.90.144424
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收录类别SCI
语种英语
资助者National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703]
WOS记录号WOS:000344022000003
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被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15612
专题理论物理所SCI论文
通讯作者Qin, MP (reprint author), Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China.
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Qin, MP,Chen, QN,Xie, ZY,et al. Partial long-range order in antiferromagnetic Potts models[J]. PHYSICAL REVIEW B,2014,90(14):144424.
APA Qin, MP.,Chen, QN.,Xie, ZY.,Chen, J.,Yu, JF.,...&Qin, MP .(2014).Partial long-range order in antiferromagnetic Potts models.PHYSICAL REVIEW B,90(14),144424.
MLA Qin, MP,et al."Partial long-range order in antiferromagnetic Potts models".PHYSICAL REVIEW B 90.14(2014):144424.
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