論文

2021年1月

Exceptional points in the one-dimensional Hubbard model

NEW JOURNAL OF PHYSICS
  • Roman Rausch
  • ,
  • Robert Peters
  • ,
  • Tsuneya Yoshida

23
1
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/1367-2630/abd35e
出版者・発行元
IOP PUBLISHING LTD

Non-Hermitian phenomena offer a novel approach to analyze and interpret spectra in the presence of interactions. Using the density-matrix renormalization group (DMRG), we demonstrate the existence of exceptional points for the one-particle Green's function of the 1D alternating Hubbard chain with chiral symmetry, with a corresponding Fermi arc at zero frequency in the spectrum. They result from the non-Hermiticity of the effective Hamiltonian describing the Green's function and only appear at finite temperature. They are robust and can be topologically characterized by the zeroth Chern number. This effect illustrates a case where temperature has a strong effect in 1D beyond the simple broadening of spectral features. Finally, we demonstrate that exceptional points appear even in the two-particle Green's function (charge structure factor) where an effective Hamiltonian is difficult to establish, but move away from zero frequency due to a distinct symmetry constraint.

Web of Science ® 被引用回数 : 6

リンク情報
DOI
https://doi.org/10.1088/1367-2630/abd35e
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000608874300001&DestApp=WOS_CPL
ID情報
  • DOI : 10.1088/1367-2630/abd35e
  • ISSN : 1367-2630
  • Web of Science ID : WOS:000608874300001

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