Conformal Invariance and Universality in Finite-Size Scaling

Henk W. J. Blöte, John Cardy, M. P. Nightingale

John Cardy

The universal relation between critical exponents and the amplitude of the correlation length divergence as a function of finite size at the critical point of two-dimensional systems is shown to be a consequence of conformal invariance. Both periodic and free boundary conditions are considered.

Ke Wang, Tigran Sedrakyan

Quantum one-dimensional criticality with conformal invariance is known to be characterized by conformal field theory with the inherent central charge ($c$), and universal finite-size amplitudes. Here, the authors demonstrate that around a quantum criticality with $c$=\textonehalf{} and two Majorana boundary modes, the symmetry-breaking effect modifies the finite-size amplitudes from a universal constant to be a universal function of an emergent scale. This finding provides a new perspective to study the interplay of topology and quantum criticality.

Joseph Rudnick, Hong Mei Guo, David Jasnow

Joseph Rudnick, Hong Min Guo, David Jasnow