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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, Centra, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Dept Phys, AlbaNova Univ Ctr, SE-10691 Stockholm, Sweden..ORCID-id: 0000-0003-2258-1945
2022 (engelsk)Inngår i: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 105, nr 7, artikkel-id 075103Artikkel i tidsskrift (Fagfellevurdert) 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.

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American Physical Society (APS) , 2022. Vol. 105, nr 7, artikkel-id 075103
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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
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QC 20220221

Tilgjengelig fra: 2022-02-21 Laget: 2022-02-21 Sist oppdatert: 2022-12-19bibliografisk kontrollert

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