{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,30]],"date-time":"2026-10-30T02:42:09Z","timestamp":1793328129138,"version":"4.5.0"},"reference-count":68,"publisher":"IOP Publishing","issue":"22","license":[{"start":{"date-parts":[[2024,3,5]],"date-time":"2024-03-05T00:00:00Z","timestamp":1709596800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/page\/copyright"},{"start":{"date-parts":[[2024,3,5]],"date-time":"2024-03-05T00:00:00Z","timestamp":1709596800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100004586","name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","doi-asserted-by":"crossref","award":["SEI-260003\/000623\/2023"],"award-info":[{"award-number":["SEI-260003\/000623\/2023"]}],"id":[{"id":"10.13039\/501100004586","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"crossref","award":["313065\/2021-7"],"award-info":[{"award-number":["313065\/2021-7"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2024,6,5]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We study the impact of the Rashba spin\u2013orbit coupling (RSOC) on the stability of charge-density wave (CDW) in systems with large electron-phonon coupling (EPC). Here, the EPC is considered in the framework of the Holstein model at the half-filled square lattice. We obtain the phase diagram of the Rashba\u2013Holstein model using the Hartree\u2013Fock mean-field theory, and identify the boundaries of the CDW and Rashba metal phases. We notice that the RSOC disfavors the CDW phase, driving the system to a correlated Rashba metal. Also, we employ a cluster perturbation theory (CPT) approach to investigate the phase diagram beyond the Hartree\u2013Fock approximation. The quantum correlations captured by CPT indicate that the RSOC is even more detrimental to CDW than previously anticipated. That is, the Rashba metal region is observed to be expanded in comparison to the mean-field case. Additionally, we investigate pairing correlations, and the results further strengthen the identification of critical points.<\/jats:p>","DOI":"10.1088\/1361-648x\/ad2cc9","type":"journal-article","created":{"date-parts":[[2024,2,23]],"date-time":"2024-02-23T17:28:06Z","timestamp":1708709286000},"page":"225601","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["The impact of Rashba spin-orbit coupling in charge-ordered systems"],"prefix":"10.1088","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8251-0527","authenticated-orcid":true,"given":"Rodrigo A","family":"Fontenele","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4266-3780","authenticated-orcid":true,"given":"Sebasti\u00e3o","family":"dos Anjos Sousa J\u00fanior","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3830-3571","authenticated-orcid":true,"given":"Tarik P","family":"Cysne","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4285-4672","authenticated-orcid":true,"given":"Natanael C","family":"Costa","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2024,3,5]]},"reference":[{"key":"cmad2cc9bib1","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1039\/C0NR00323A","article-title":"2Dmaterials: to graphene and beyond","volume":"3","author":"Mas-Ballest\u00e9","year":"2011","journal-title":"Nanoscale"},{"key":"cmad2cc9bib2","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1016\/j.pmatsci.2015.02.002","article-title":"Recent development in 2D materials beyond graphene","volume":"73","author":"Gupta","year":"2015","journal-title":"Prog. Mater. Sci."},{"key":"cmad2cc9bib3","doi-asserted-by":"publisher","first-page":"aac9439","DOI":"10.1126\/science.aac9439","article-title":"2Dmaterials and van der Waals heterostructures","volume":"353","author":"Novoselov","year":"2016","journal-title":"Science"},{"key":"cmad2cc9bib4","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1038\/s41699-020-0152-0","article-title":"2D materials for spintronic devices","volume":"4","author":"Ahn","year":"2020","journal-title":"npj 2D Mater. Appl."},{"key":"cmad2cc9bib5","doi-asserted-by":"publisher","first-page":"1067","DOI":"10.1103\/RevModPhys.84.1067","article-title":"Electron-electron interactions in graphene: current status and perspectives","volume":"84","author":"Kotov","year":"2012","journal-title":"Rev. Mod. Phys."},{"key":"cmad2cc9bib6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.122.077602","article-title":"Charge order in the Holstein model on a Honeycomb lattice","volume":"122","author":"Zhang","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.72.085123","article-title":"Ground-state and finite-temperature signatures of quantum phase transitions in the half-filled Hubbard model on a honeycomb lattice","volume":"72","author":"Paiva","year":"2005","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib8","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1103\/RevModPhys.81.109","article-title":"The electronic properties of graphene","volume":"81","author":"Castro Neto","year":"2009","journal-title":"Rev. Mod. Phys."},{"key":"cmad2cc9bib9","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1038\/nature26160","article-title":"Unconventional superconductivity in magic-angle graphene superlattices","volume":"556","author":"Cao","year":"2018","journal-title":"Nature"},{"key":"cmad2cc9bib10","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1038\/nature22060","article-title":"Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals","volume":"546","author":"Gong","year":"2017","journal-title":"Nature"},{"key":"cmad2cc9bib11","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1038\/nature22391","article-title":"Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit","volume":"546","author":"Huang","year":"2017","journal-title":"Nature"},{"key":"cmad2cc9bib12","doi-asserted-by":"publisher","DOI":"10.1038\/natrevmats.2017.33","article-title":"2D transition metal dichalcogenides","volume":"2","author":"Manzeli","year":"2017","journal-title":"Nat. Rev. Mater."},{"key":"cmad2cc9bib13","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1103\/RevModPhys.60.1129","article-title":"The dynamics of charge-density waves","volume":"60","author":"Gr\u00fcner","year":"1988","journal-title":"Rev. Mod. Phys."},{"key":"cmad2cc9bib14","author":"Gorkov","year":"1989"},{"key":"cmad2cc9bib15","doi-asserted-by":"publisher","first-page":"1341","DOI":"10.1021\/acsnano.5b06727","article-title":"Unconventional charge-density-wave transition in monolayer 1T-TiSe2","volume":"10","author":"Sugawara","year":"2015","journal-title":"ACS Nano"},{"key":"cmad2cc9bib16","doi-asserted-by":"publisher","first-page":"2406","DOI":"10.1038\/s41467-020-15715-w","article-title":"Patterns and driving forces of dimensionality-dependent charge density waves in 2H-type transition metaldichalcogenides","volume":"11","author":"Lin","year":"2020","journal-title":"Nat. Commun."},{"key":"cmad2cc9bib17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.86.104101","article-title":"Effect of dimensionality and spin-orbit coupling on charge-density-wave transition in2H-TaSe 2","volume":"86","author":"Ge","year":"2012","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.105.L180505","article-title":"Intrinsic and doping-enhanced superconductivity in monolayer 1H\u2212TaS2 : critical role of charge ordering and spin-orbit coupling","volume":"105","author":"Lian","year":"2022","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib19","doi-asserted-by":"publisher","first-page":"1335","DOI":"10.1103\/PhysRevLett.78.1335","article-title":"Gate control of spin-orbit interaction in an inverted I n0.53 G a0.47 As\/I n0.52 A l0.48 as heterostructure","volume":"78","author":"Nitta","year":"1997","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.98.186807","article-title":"Giant spin splitting through surface alloying","volume":"98","author":"Ast","year":"2007","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib21","doi-asserted-by":"publisher","first-page":"4066","DOI":"10.1103\/PhysRevLett.82.4066","article-title":"Spin-orbit coupling induced surface band splitting in Li\/W(110) and Li\/Mo(110)","volume":"82","author":"Rotenberg","year":"1999","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib22","doi-asserted-by":"publisher","first-page":"3419","DOI":"10.1103\/PhysRevLett.77.3419","article-title":"Spin splitting of an Au(111) Surface state band observed with angle resolved photoelectron spectroscopy","volume":"77","author":"LaShell","year":"1996","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.74.165310","article-title":"Intrinsic and Rashba spin-orbit interactions ingraphene sheets","volume":"74","author":"Min","year":"2006","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.98.045407","article-title":"Crystal-field effects in graphene with interface-induced spin-orbitcoupling","volume":"98","author":"Cysne","year":"2018","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.97.085413","article-title":"Quantum Hall effect in graphene with interface-induced spin-orbitcoupling","volume":"97","author":"Cysne","year":"2018","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib26","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.96.161401","article-title":"Two-dimensional square buckled Rashbalead chalcogenides","volume":"96","author":"Hanakata","year":"2017","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.97.235312","article-title":"Strain-induced gauge and Rashba fields in ferroelectric Rashba lead chalcogenide PbX monolayers ( X=S , Se, Te)","volume":"97","author":"Hanakata","year":"2018","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib28","doi-asserted-by":"publisher","first-page":"12256","DOI":"10.1021\/acs.jpclett.1c03662","article-title":"Spin\u2013orbit coupling in 2D semiconductors: a theoretical perspective","volume":"12","author":"Chen","year":"2021","journal-title":"J. Phys. Chem. Lett."},{"key":"cmad2cc9bib29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.84.195430","article-title":"Low-energy effective Hamiltonian involving spin-orbit coupling in silicene and two-dimensional germanium and tin","volume":"84","author":"Liu","year":"2011","journal-title":"Phys.Rev. B"},{"key":"cmad2cc9bib30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.026603","article-title":"Photo induced topological phase transition and a single dirac-cone state in silicene","volume":"110","author":"Ezawa","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib31","doi-asserted-by":"publisher","first-page":"376","DOI":"10.1038\/nphys1606","article-title":"Mott physics and band topology in materials with strong spin-orbit interaction","volume":"6","author":"Pesin","year":"2010","journal-title":"Nat. Phys."},{"key":"cmad2cc9bib32","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1146\/annurev-conmatphys-020911-125138","article-title":"Correlated quantum phenomena in the strong spin-orbit regime","volume":"5","author":"Witczak-Krempa","year":"2014","journal-title":"Annu. Rev. Condens. Matter Phys."},{"key":"cmad2cc9bib33","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1146\/annurev-conmatphys-031115-011319","article-title":"Spin-orbit physics giving rise to novel phases in correlated systems: iridates and related materials","volume":"7","author":"Rau","year":"2016","journal-title":"Annu. Rev. Condens. Matter Phys."},{"key":"cmad2cc9bib34","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1016\/0003-4916(59)90002-8","article-title":"Studies of polaron motion","volume":"8","author":"Holstein","year":"1959","journal-title":"Ann. Phys., NY"},{"key":"cmad2cc9bib35","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1038\/s42005-020-0342-2","article-title":"Phase diagram of the two-dimensional Hubbard-Holstein model","volume":"3","author":"Costa","year":"2020","journal-title":"Commun. Phys."},{"key":"cmad2cc9bib36","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.99.024514","article-title":"Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation","volume":"99","author":"Dee","year":"2019","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.103.235104","article-title":"Superconductivity and charge density wave order in the two-dimensional Holstein model","volume":"103","author":"Bradley","year":"2021","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.100.045125","article-title":"Effect of strain on charge density wave order in the Holstein model","volume":"100","author":"Cohen-Stead","year":"2019","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.105.165103","article-title":"Two-dimensional t\u2212t\u2032 Holstein model","volume":"105","author":"Ara\u00fajo","year":"2022","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib40","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.92.064301","article-title":"Quasiparticle properties of the nonlinear Holstein model at finite doping and temperature","volume":"92","author":"Li","year":"2015","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib41","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1038\/s42005-020-00413-2","article-title":"Relative importance of nonlinear electron-phonon coupling and vertex corrections in the Holstein model","volume":"3","author":"Dee","year":"2020","journal-title":"Commun. Phys."},{"key":"cmad2cc9bib42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.103.195117","article-title":"Quantum Monte Carlo study of an harmonic Holstein model","volume":"103","author":"Paleari","year":"2021","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib43","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.103.L060501","article-title":"Charge density wave and superconductivity in the disordered Holstein model","volume":"103","author":"Xiao","year":"2021","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib44","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.107.075140","article-title":"Magnetic impurities in a charge-ordered background","volume":"107","author":"Sousa-J\u00fanior","year":"2023","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib45","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.120.187003","article-title":"Phonon dispersion and the competition between pairing and charge order","volume":"120","author":"Costa","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib46","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.100.165114","article-title":"Dominant charge density wave correlations in the Holstein model on the half-filled square lattice","volume":"100","author":"Hohenadler","year":"2019","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib47","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.107.045123","article-title":"Phase diagram of the square-lattice Hubbard model with Rashba-type antisymmetric spin-orbit coupling","volume":"107","author":"Kawano","year":"2023","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib48","doi-asserted-by":"publisher","DOI":"10.7566\/JPSJ.93.024708","article-title":"Weyl semimetallic state in the Rashba-Hubbard model","volume":"93","author":"Kubo","year":"2024","journal-title":"J. Phys. Soc. Japan"},{"key":"cmad2cc9bib49","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.81.115114","article-title":"Ground-state properties of the Holstein model near the adiabatic limit","volume":"81","author":"Li","year":"2010","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib50","doi-asserted-by":"publisher","first-page":"9915","DOI":"10.1103\/PhysRevB.49.9915","article-title":"From electron to small polaron: an exact cluster solution","volume":"49","author":"Alexandrov","year":"1994","journal-title":"Phys.Rev. B"},{"key":"cmad2cc9bib51","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.107.205141","article-title":"Incommensurate charge density wave in multiband intermetallic systems exhibiting competing orders","volume":"107","author":"Lopes","year":"2023","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib52","article-title":"At this point we have to caution the reader that the block-diagonal subspace represented in equation\u2009(6) is exact for Q=(\u03c0,\u03c0) or (0,\u03c0) . However, for any Q=(qx,qy) different from those, one may not easily block-diagonalized it, and equation\u2009(6) becomes equivalent to a quasi degenerate perturbation theory (see, e.g., the discussion in [51])"},{"key":"cmad2cc9bib53","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.68.184304","article-title":"Spectral function of electron-phonon models by cluster perturbation theory","volume":"68","author":"Hohenadler","year":"2003","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib54","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.66.075129","article-title":"Cluster perturbation theory for Hubbard models","volume":"66","author":"S\u00e9n\u00e9chal","year":"2002","journal-title":"Phys.Rev. B"},{"key":"cmad2cc9bib55","doi-asserted-by":"publisher","first-page":"522","DOI":"10.1103\/PhysRevLett.84.522","article-title":"Spectral weight of the Hubbard model through cluster perturbation theory","volume":"84","author":"S\u00e9n\u00e9chal","year":"2000","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib56","article-title":"An introduction to quantum cluster methods","author":"S\u00e9n\u00e9chal","year":"2010"},{"key":"cmad2cc9bib57","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.107.125115","article-title":"Rashba spin-orbit coupling in the square-lattice Hubbard model: a truncated-unity functional renormalization group study","volume":"107","author":"Beyer","year":"2023","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib58","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/7\/073036","article-title":"Phase diagram of interacting Fermi gas in spin-orbit coupled square lattices","volume":"17","author":"Zhang","year":"2015","journal-title":"New J. Phys."},{"key":"cmad2cc9bib59","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.101.235149","article-title":"Rashba-metal to Mott-insulator transition","volume":"101","author":"Brosco","year":"2020","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib60","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.69.184501","article-title":"Critical temperature for the two-dimensional attractive Hubbard model","volume":"69","author":"Paiva","year":"2004","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib61","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.106.165121","article-title":"Magnetism and metal-insulator transitions in the Rashba-Hubbard model","volume":"106","author":"Kennedy","year":"2022","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib62","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2023.128652","article-title":"Intertwined charge and spinorders through the exchange-interaction on a square lattice","volume":"461","author":"Wang","year":"2023","journal-title":"Phys. Lett. A"},{"key":"cmad2cc9bib63","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.107.224427","article-title":"Transient dynamics and quantum phase diagram for the square lattice Rashba-Hubbard model at arbitrary hole doping","volume":"107","author":"Hodt","year":"2023","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib64","doi-asserted-by":"publisher","first-page":"946","DOI":"10.1103\/PhysRevLett.66.946","article-title":"Two-dimensional negative-U Hubbard model","volume":"66","author":"Moreo","year":"1991","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib65","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.105.184502","article-title":"Two-dimensional attractive Hubbard model and the BCS-BECcrossover","volume":"105","author":"Fontenele","year":"2022","journal-title":"Phys. Rev. B"},{"key":"cmad2cc9bib66","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/107\/40003","article-title":"Berezinskii-Kosterlitz-Thoules phase transition of spin-orbit coupled Fermi gas in optical lattice","volume":"107","author":"Tang","year":"2014","journal-title":"Europhys. Lett."},{"key":"cmad2cc9bib67","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.119.265301","article-title":"Ultracold atoms in a square lattice with spin-orbit coupling: charge order, superfluidity, and topological signatures","volume":"119","author":"Rosenberg","year":"2017","journal-title":"Phys. Rev. Lett."},{"key":"cmad2cc9bib68","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevMaterials.2.024801","article-title":"Superconducting monolayer deposited on substrate: effects of the spin-orbitcoupling induced by proximity effects","volume":"2","author":"Ptok","year":"2018","journal-title":"Phys. Rev. Mater."}],"container-title":["Journal of Physics: Condensed Matter"],"original-title":[],"link":[{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9","content-type":"text\/html","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,23]],"date-time":"2025-08-23T11:15:26Z","timestamp":1755947726000},"score":1,"resource":{"primary":{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ad2cc9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,5]]},"references-count":68,"journal-issue":{"issue":"22","published-online":{"date-parts":[[2024,3,5]]},"published-print":{"date-parts":[[2024,6,5]]}},"URL":"https:\/\/doi.org\/10.1088\/1361-648x\/ad2cc9","relation":{},"ISSN":["0953-8984","1361-648X"],"issn-type":[{"value":"0953-8984","type":"print"},{"value":"1361-648X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,3,5]]},"assertion":[{"value":"The impact of Rashba spin-orbit coupling in charge-ordered systems","name":"article_title","label":"Article Title"},{"value":"Journal of Physics: Condensed Matter","name":"journal_title","label":"Journal Title"},{"value":"paper","name":"article_type","label":"Article Type"},{"value":"\u00a9 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2023-11-22","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2024-02-23","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2024-03-05","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}