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Polarization and entanglement spectrum in non-Hermitian systems
Stockholm Univ, Dept Phys, AlbaNova Univ Ctr, SE-10691 Stockholm, Sweden.; NORDITA SU.
Stockholm Univ, Dept Phys, AlbaNova Univ Ctr, SE-10691 Stockholm, Sweden..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Dept Phys, AlbaNova Univ Ctr, SE-10691 Stockholm, Sweden..ORCID iD: 0000-0003-2258-1945
2022 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 105, no 7, article id 075103Article in journal (Refereed) Published
Abstract [en]

The entanglement spectrum is a useful tool to study topological phases of matter, and contains valuable information about the ground state of the system. Here, we study its properties for free non-Hermitian systems for both point-gapped and line-gapped phases. While the entanglement spectrum only retains part of the topological information in the former case, it is very similar to Hermitian systems in the latter. In particular, it not only mimics the topological edge modes, but also contains all the information about the polarization, even in systems that are not topological. Furthermore, we show that the Wilson loop is equivalent to the many-body polarization and that it reproduces the phase diagram for the system with open boundaries, despite being computed for a periodic system.

Place, publisher, year, edition, pages
American Physical Society (APS) , 2022. Vol. 105, no 7, article id 075103
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-309058DOI: 10.1103/PhysRevB.105.075103ISI: 000751936100005Scopus ID: 2-s2.0-85124641037OAI: oai:DiVA.org:kth-309058DiVA, id: diva2:1639352
Note

QC 20220221

Available from: 2022-02-21 Created: 2022-02-21 Last updated: 2022-12-19Bibliographically approved

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Hermanns, Maria

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