Schmidt gaps in a long-range Kitaev chain

Authors

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

Abstract

The Schmidt gap for a block of spins in an infinite long-range Kitaev chain is calculated as a function of interaction range and the relative strengths of the chemical potential and hopping terms. We find that for long-ranged interactions where area law violations to the entanglement entropy occur, the Schmidt gap does not appear to close rapidly with chain length. For short-ranged interactions however, the Schmidt gap vanishes in a parameter region corresponding to an antiferromagnetic phase with gapless edge modes. These results demonstrate that the Schmidt gap can be used to distinguish quantum phases in the long-range Kitaev model.

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Issue

Article ID

SPP-2017-1C-04

Section

Theoretical and Mathematical Physics

Published

2017-06-07

How to Cite

[1]
CDP Ayang-ang and FNC Paraan, Schmidt gaps in a long-range Kitaev chain, Proceedings of the Samahang Pisika ng Pilipinas 35, SPP-2017-1C-04 (2017). URL: https://proceedings.spp-online.org/article/view/107.