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標題:Exact Solution of a Monomer-Dimer Problem: A Single Boundary Monomer on a Nonbipartite Lattice
學年99
學期1
出版(發表)日期2011/01/01
作品名稱Exact Solution of a Monomer-Dimer Problem: A Single Boundary Monomer on a Nonbipartite Lattice
作品名稱(其他語言)
著者Wu, F. Y.; Tzeng, Wen-Jer; Izmailian, N. Sh.
單位淡江大學物理學系
出版者College Park: American Physical Society
著錄名稱、卷期、頁數Physical Review E 83(1), 011106(6pages)
摘要We solve the monomer-dimer problem on a nonbipartite lattice, a simple quartic lattice with cylindrical boundary conditions, with a single monomer residing on the boundary. Due to the nonbipartite nature of the lattice, the well-known method of solving single-monomer problems with a Temperley bijection cannot be used. In this paper, we derive the solution by mapping the problem onto one of closed-packed dimers on a related lattice. Finite-size analysis of the solution is carried out. We find from asymptotic expansions of the free energy that the central charge in the logarithmic conformal field theory assumes the value c=-2.
關鍵字
語言英文
ISSN1550-2376;1539-3755
期刊性質國外
收錄於SCI
產學合作
通訊作者
審稿制度
國別美國
公開徵稿
出版型式電子版;紙本
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