Universal fidelity near quantum and topological phase transitions in finite one-dimensional systems

@article{Konig2016UniversalFN,
title={Universal fidelity near quantum and topological phase transitions in finite one-dimensional systems},
author={E. J. Konig and A. Levchenko and N. Sedlmayr},
journal={Physical Review B},
year={2016},
volume={93},
pages={235160}
}

We study the quantum fidelity (ground-state overlap) near quantum phase transitions of the Ising universality class in one-dimensional (1D) systems of finite-size L. Prominent examples occur in magnetic systems (e.g., spin-Peierls, the anisotropic XY model) and in 1D topological insulators of any topologically nontrivial Altland-Zirnbauer-Kitaev universality class. The rescaled fidelity susceptibility is a function of the only dimensionless parameter LM, where 2M is the gap in the fermionic… Expand