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  Symmetry breaking and spectral structure of the interacting Hatano-Nelson model

Zhang, S.-B., Denner, M. M., Bzdušek, T., Sentef, M. A., & Neupert, T. (2022). Symmetry breaking and spectral structure of the interacting Hatano-Nelson model. Physical Review B, 106(12): L121102. doi:10.1103/PhysRevB.106.L121102.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-E8BA-0 Version Permalink: https://hdl.handle.net/21.11116/0000-000B-F63B-E
Genre: Journal Article

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Supplemental Material: In this Supplemental Material, we present the analysis of the system symmetries, the discussion of the Pauli principle, the estimation of the dimension of the many-body spectrum, the calculation and more discussion of the critical interaction strength, the density-density correlation function, the free energy and persistent current, the spectral winding numbers and charge-density profiles, other complementary half-filled cases and the results for the non-Hermitian SSH-type model.
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 Creators:
Zhang, S.-B.1, Author
Denner, M. M.1, Author
Bzdušek, T.1, 2, Author
Sentef, M. A.3, Author           
Neupert, T.1, Author
Affiliations:
1Department of Physics, University of Zürich, ou_persistent22              
2Condensed Matter Theory Group, Paul Scherrer Institute, ou_persistent22              
3Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_3012828              

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 Abstract: We study the Hatano-Nelson model, i.e., a one-dimensional non-Hermitian chain of spinless fermions with nearest-neighbor nonreciprocal hopping, in the presence of repulsive nearest-neighbor interactions. At half-filling, we find two PT transitions, as the interaction strength increases. The first transition is marked by an exceptional point between the first and the second excited state in a finite-size system and is a first-order symmetry-breaking transition into a charge density wave regime. Persistent currents characteristic of the Hatano-Nelson model abruptly vanish at the transition. The second transition happens at a critical interaction strength that scales with the system size and can thus only be observed in finite-size systems. It is characterized by a collapse of all energy eigenvalues onto the real axis. We further show that in a strong interaction regime, but away from half-filling, the many-body spectrum shows point gaps with nontrivial winding numbers, akin to the topological properties of the single-particle spectrum of the Hatano-Nelson chain. Our results contribute to an understanding of fermionic many-body systems with non-Hermitian Hamiltonians.

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Language(s): eng - English
 Dates: 2022-05-072022-01-292022-08-222022-09-022022-09-15
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2201.12653
DOI: 10.1103/PhysRevB.106.L121102
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Project name : -
Grant ID : 757867
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)
Project name : We thank F. Alsallom, N. Astrakhantsev, M. Brzezińska, J. Budich, X.-D. Cao, S.-J. Choi, C. Li, L. Herviou, W. Rui, G. Tang, A. Tiwari, and O. V. Yazyev for valuable discussions. This work was supported by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (ERC-StG-Neupert-757867-PARATOP) and from NCCR MARVEL funded by the SNSF. M.S. was supported by DFG through the Emmy Noether program (SE 2558/2). T.B. was supported by the Ambizione Grant No. 185806 by the Swiss National Science Foundation.
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 106 (12) Sequence Number: L121102 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008