| 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 | en |
| ISSN | 1550-2376 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 | USA |
| 公開徵稿 | |
| 出版型式 | 電子版 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/74896 ) |
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