Open spin chain realization of a topological defect in a one-dimensional Ising model: Boundary and bulk symmetry

Scientific paper - Original scientific paper

• Author: Yoshiki Fukusumi
• Author: Shumpei Iino
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

We study the realizations of topological defects in a one-dimensional quantum Ising model with an open boundary condition at criticality. Applying the construction discussed in M. Hauru, G. Evenbly, W. W. Ho, D. Gaiotto, and G. Vidal, Phys. Rev. B 94, 115125 (2016), we prove that the Ising model on an open chain with multiple topological defects can be transformed to the same model with boundary magnetic fields and noninteracting boundary degrees of freedom. This results in the appearance of a linear combination of Cardy states, which can be interpreted as an edge state of the spin or fermion chain. We show that this edge state with the large boundary entropy can be protected under bulk perturbation, whereas it is fragile to a boundary perturbation. Our formulation suggests the existence of nontrivial edge physics under the existence of topological defects and opens many interesting questions for future analysis related to boundary and bulk physics.

• Keywords (english): topological defects; one-dimensional quantum Ising model
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review B
• Numbering: vol. 104, no. 12, 125418
• p-ISSN: 2469-9950
• e-ISSN: 2469-9969
• DOI: https://doi.org/10.1103/PhysRevB.104.125418
• URN:NBN: urn:nbn:hr:217:805668
• Publication: 2021
• Project: Number: KK.01.1.1.01.0004; Title (english): QuantiXLie Center of Excellence; Acronym: QuantiXLie; Leader: Buljan, Hrvoje; Pandžić, Pavle; Jurisdiction: eu; Funding stream: European Regional Development Fund - the Competitiveness and Cohesion Operational Programme
• Document URL: https://link.aps.org/doi/10.1103/PhysRevB.104.125418
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2021 American Physical Society; Received 1 June 2020; Revised 17 August 2021; Accepted 30 August 2021; Published 9 September 2021.
• Created on: 2023-08-22 10:09:30