Logo Logo
Help
Contact
Switch Language to German
Tang, Wei; Chen, Lei; Li, Wei; Xie, X. C.; Tu, Hong-Hao; Wang, Lei (2017): Universal boundary entropies in conformal field theory: A quantum Monte Carlo study. In: Physical Review B, Vol. 96, No. 11, 115136
Full text not available from 'Open Access LMU'.

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.