中国物理B ›› 2000, Vol. 9 ›› Issue (1): 42-48.doi: 10.1088/1009-1963/9/1/009
王光瑞1, 陈式刚1, 许爱国2, 许海波3
Xu Hai-bo (许海波)ab, Xu Ai-guo (许爱国)c, Wang Guang-rui (王光瑞)b, Chen Shi-gang (陈式刚)b
摘要: To study modulated structures and commensurate-incommensurate (CI) transitions, we generalize the Frenkel-Kontorova model to the Frenkel-Kontorova-Devonshire model where the interparticle interactions are the triple-well potential. By use of the so called effective potential method, numerical solutions of the eigenvalue problem are used to work out the exact phase diagrams of W, a triple-well potential. According to the winding number Ω and the rotation number ω, we analyze the periodicity of the phase diagram and find some complex but regular phase structures. These new structures result from the triple-well interatomic interactions. A series of new transition behaviors enrich the traditional understanding on the periodicity of CI transitions.
中图分类号: (Commensurate-incommensurate transitions)