Universal Finite-Size Scaling around Topological Quantum Phase Transitions
Phys. Rev. Lett. 116, 026402 – Published 14 January, 2016
DOI: https://doi.org/10.1103/PhysRevLett.116.026402
Abstract
The critical point of a topological phase transition is described by a conformal field theory, where finite-size corrections to energy are uniquely related to its central charge. We investigate the finite-size scaling away from criticality and find a scaling function, which discriminates between phases with different topological indices. This function appears to be universal for all five Altland-Zirnbauer symmetry classes with nontrivial topology in one spatial dimension. We obtain an analytic form of the scaling function and compare it with numerical results.