Universal Scaling of Klein Bottle Entropy near Conformal Critical Points
Yueshui Zhang1,2, Anton Hulsch3, Hua-Chen Zhang3,4
1Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
Abstract:
We show that the Klein bottle entropy [H.-H. Tu, Phys. Rev. Lett. 119, 261603 (2017)PRLTAO0031-900710.1103/PhysRevLett.119.261603] for conformal field theories perturbed by a relevant operator is a universal function of the dimensionless coupling constant. The universal scaling of the Klein bottle entropy near criticality provides an efficient approach to extract the scaling dimension of lattice operators via data collapse. As paradigmatic examples, we validate the universal scaling of the Klein bottle entropy for Ising and Z_{3} parafermion conformal field theories with various perturbations using numerical simulation with continuous matrix product operator approach.
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