String and conventional order parameters in the solvable modulated quantum chain

Gennady Y. Chitov, Toplal Pandey, and P. N. Timonin
Phys. Rev. B 100, 104428 – Published 23 September 2019

Abstract

The phase diagram and the order parameters of the exactly solvable quantum one-dimensional model are analyzed. The model in its spin representation is the dimerized XY spin chain in the presence of uniform and staggered transverse fields. In the fermionic representation this model is the dimerized noninteracting Kitaev chain with a modulated chemical potential. The model has a rich phase diagram which contains phases with local and nonlocal (string) orders. We have calculated within the same systematic framework the local order parameters (spontaneous magnetization) and the nonlocal string order parameters, along with the topological winding numbers for all domains of the phase diagram. The topologically nontrivial phase is shown to have a peculiar oscillating string order with the wave number q=π/2, awaiting for its experimental confirmation.

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  • Received 21 August 2019

DOI:https://doi.org/10.1103/PhysRevB.100.104428

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Gennady Y. Chitov1, Toplal Pandey1, and P. N. Timonin2

  • 1Department of Physics, Laurentian University, Sudbury, Ontario, Canada P3E 2C6
  • 2Physics Research Institute, Southern Federal University, 194 Stachki ave., Rostov-on-Don, 344090 Russia

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Issue

Vol. 100, Iss. 10 — 1 September 2019

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