Universal boundary entropies in conformal field theory: A quantum Monte Carlo study

Tang, Wei; Chen, Lei; Li, Wei; Xie, X. C.; Tu, Hong-Hao und Wang, Lei (2017): Universal boundary entropies in conformal field theory: A quantum Monte Carlo study. In: Physical Review B, Bd. 96, Nr. 11, 115136

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Fakultätsübergreifende Einrichtungen: Center for NanoScience (CENS)
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik ; 500 Naturwissenschaften und Mathematik > 500 Naturwissenschaften
• ISSN: 2469-9950
• Sprache: Englisch