Universal Scaling of Klein Bottle Entropy near Conformal Critical Points

Research output: Contribution to journalResearch articleContributedpeer-review



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 Z3 parafermion conformal field theories with various perturbations using numerical simulation with continuous matrix product operator approach.


Original languageEnglish
Article number151602
JournalPhysical review letters
Issue number15
Publication statusPublished - 14 Apr 2023

External IDs

Scopus 85152959546
WOS 000987465400005


ASJC Scopus subject areas


  • Ising-model, Spectrum

Library keywords