% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Moussa:639395,
      author       = {Moussa, Adel Ben and Lamers, Jules and Serban, Didina and
                      Toufik, Ayman},
      title        = {{S}olvable {N}onunitary {F}ermionic {L}ong-{R}ange {M}odel
                      with {E}xtended {S}ymmetry},
      journal      = {Physical review letters},
      volume       = {134},
      number       = {4},
      issn         = {0031-9007},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PUBDB-2025-04489, arXiv:2404.10164. DESY-24-051},
      pages        = {046503},
      year         = {2025},
      note         = {Phys Rev Lett 134 (2025) 046503. v1: 6+23 pages, 3 figs, 1
                      table. v2: various minor improvements; 6+27 pages, 1+3 figs,
                      1 table. v3: further impovements, 6+28 pages, 1+3 figs, 1
                      table. v4: accepted for publication},
      abstract     = {We define and study a long-range version of the xx model,
                      arising as the free-fermion point of the xxz-type
                      Haldane-Shastry (HS) chain. It has a description via
                      nonunitary fermions, based on the free-fermion
                      Temperley-Lieb algebra, and may also be viewed as an
                      alternating gl(1|1) spin chain. Even and odd lengths behave
                      very differently; we focus on odd length. The model is
                      integrable, and we explicitly identify two commuting
                      Hamiltonians. While nonunitary, their spectrum is real by PT
                      symmetry. One Hamiltonian is chiral and quadratic in
                      fermions, while the other is parity invariant and quartic.
                      Their one-particle spectra have two linear branches,
                      realizing a massless relativistic dispersion on the lattice.
                      The appropriate fermionic modes arise from
                      “quasi-translation” symmetry, which replaces ordinary
                      translation symmetry. The model exhibits exclusion
                      statistics, like the isotropic HS chain, with even more
                      “extended symmetry” and larger degeneracies.},
      keywords     = {model: integrability (INSPIRE) / spin: chain (INSPIRE) /
                      algebra: Temperley-Lieb (INSPIRE) / long-range (INSPIRE) /
                      chiral (INSPIRE) / lattice (INSPIRE) / PT symmetry (INSPIRE)
                      / XXZ model (INSPIRE) / GL(1|1) (INSPIRE)},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      BrokenSymmetries - Exact Results from Broken Symmetries
                      (101044226)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101044226},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2404.10164},
      howpublished = {arXiv:2404.10164},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2404.10164;\%\%$},
      doi          = {10.1103/PhysRevLett.134.046503},
      url          = {https://bib-pubdb1.desy.de/record/639395},
}