Universal scaling of Klein bottle entropy near conformal critical points

Abstract

We show that the Klein bottle entropy [Phys. Rev. Lett. 119, 261603 (2017)] for conformal field theories (CFTs) 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 CFTs with various perturbations using numerical simulation with continuous matrix product operator approach.

5+5 pages, 3 figures, published version

References in corpus (8)

• On space of integrable quantum field theories
• Universal entropy of conformal critical theories on a Klein bottle
• Tensor network simulation for the frustrated $J_1$-$J_2$ Ising model on the square lattice
• Topological aspects of the critical three-state Potts model
• Crosscap States in Integrable Field Theories and Spin Chains
• Universal Boundary Entropies in Conformal Field Theory: A Quantum Monte Carlo Study
• Conformal Thermal Tensor Network and Universal Entropy on Topological Manifolds
• Integrable crosscaps in classical sigma models

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• Numerical extraction of crosscap coefficients in microscopic models for (2+1)D conformal field theory
• Crosscap states and duality of Ising field theory in two dimensions
• Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids
• Spatially Structured Entanglement from Nonequilibrium Thermal Pure States
• Exact Quench Dynamics from Thermal Pure Quantum States