2017/10/26 by Unjong Yu · 6 citations
Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Ferromagnetism #Frustration #Glauber #Ground state #Ising model #Ising spin #Lattice (music) #Metastability #Opinion Dynamics and Social Influence #Percolation (cognitive psychology) #Physics #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Zero temperature #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/aa9a56
published in Journal of Statistical Mechanics Theory and Experiment 2017(12), 123203 (Institute of Physics) · 9 pages, 5 figures
arxiv created 2017/10/26 · openalex created_date 2017/11/10 · openalex publication_date 2017/12/01 · arxiv updated 2018/01/17 · openalex updated_date 2026/08/06
Abstract The fate of the Ising ferromagnet and antiferromagnet by the zero-temperature Glauber dynamics from random initial spin configuration is investigated in two-dimensional Archimedean and 2-uniform lattices. Blinker states are found in addition to the ground state and metastable state. We show that an even-coordinated lattice can arrive at a blinker state or a metastable state without a striped structure, in contrast to common expectations. The universal relationship between the critical percolation and the probability of a striped final state is confirmed for six lattices. Results about the fate of the antiferromagnetic Ising model show that the geometric frustration suppresses ordering more and promotes blinker state.