Entanglement spectrum and entropy scaling in a Kitaev chain with variable-range interaction

  • Cleofe Dennielle Padin Ayang-ang National Institute of Physics, University of the Philippines Diliman
  • Francis N. C. Paraan National Institute of Physics, University of the Philippines Diliman

Abstract

The entanglement spectrum was calculated for a contiguous block of spins in a Kitaev chain with a power law decay of interactions. Changes in the degeneracies of the four largest eigenvalues of the spectrum identify the quantum critical line separating the paramagnetic and anti-ferromagnetic phases of the model. Effective central charges along the critical lines are calculated by analyzing the finite-size scaling of the entanglement entropy with block length. For power law exponents that correspond to short-ranged interactions the effective central charge is that of free-fermionic models. For longer ranged interactions the obtained central charge deviates from this value.

Published
2018-05-28
How to Cite
[1]
C. D. Ayang-ang and F. N. Paraan. Entanglement spectrum and entropy scaling in a Kitaev chain with variable-range interaction, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PC-35 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PC-35.
Section
Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)