Abstract
Recently, entropy corrections on nonorientable manifolds such as the Klein bottle are proposed as a universal characterization of critical systems with an emergent conformal field theory (CFT). We show that entropy correction on the Klein bottle can be interpreted as a boundary effect via transforming the Klein bottle into an orientable manifold with nonlocal boundary interactions. The interpretation reveals the conceptual connection of the Klein bottle entropy with the celebrated Affleck-Ludwig entropy in boundary CFT. We propose a generic scheme to extract these universal boundary entropies from quantum Monte Carlo calculation of partition function ratios in lattice models. Our numerical results on the Affleck-Ludwig entropy and Klein bottle entropy for the q-state quantum Potts chains with q = 2,3 show excellent agreement with the CFT predictions. For the quantum Potts chain with q = 4, the Klein bottle entropy slightly deviates from the CFT prediction, which is possibly due to marginally irrelevant terms in the low-energy effective theory.
| Item Type: | Journal article |
|---|---|
| Faculties: | Physics |
| Research Centers: | Center for NanoScience (CENS) |
| Subjects: | 500 Science > 530 Physics 500 Science > 500 Science |
| ISSN: | 2469-9950 |
| Language: | English |
| Item ID: | 53516 |
| Date Deposited: | 14. Jun 2018 09:53 |
| Last Modified: | 04. Nov 2020 13:32 |
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