Finite-size effects in a field-theoretic model with long-range exchange interaction
| Autor: | Nicholai S Tonchev, Elka Korutcheva |
|---|---|
| Rok vydání: | 1991 |
| Předmět: |
Coupling constant
Condensed matter physics Exchange interaction Statistical and Nonlinear Physics Renormalization group symbols.namesake Quantum mechanics symbols Periodic boundary conditions Boundary value problem Hamiltonian (quantum mechanics) Scaling Theoretic model Mathematical Physics Mathematics |
| Zdroj: | Journal of Statistical Physics. 62:553-562 |
| ISSN: | 1572-9613 0022-4715 |
| DOI: | 10.1007/bf01017972 |
| Popis: | We present a systematic approach to the calculation of finite-size (FS) effects for anO(n) field-theoretic model with both short-range (SR) and long-range (LR) exchange interactions. The LR exchange interaction decays at large distances as 1/rd+2−2α,α→0+,α→0+. Renormalization group calculations ind=du−e are performed for a system with a fully finite (block) geometry under periodic boundary conditions. We calculate the FS shift of the critical temperature and the FS renormalized coupling constant of the model to one-loop order. The universal scaling variable is obtained and the FS scaling hypothesis is verified. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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