000147972 001__ 147972 000147972 005__ 20250923084437.0 000147972 0247_ $$2doi$$a10.1103/PhysRevB.110.205147 000147972 0248_ $$2sideral$$a141402 000147972 037__ $$aART-2024-141402 000147972 041__ $$aeng 000147972 100__ $$aRoca-Jerat, Sebastián 000147972 245__ $$aTransformer wave function for quantum long-range models 000147972 260__ $$c2024 000147972 5060_ $$aAccess copy available to the general public$$fUnrestricted 000147972 5203_ $$aWe employ a neural-network architecture based on the vision transformer (ViT) architecture to find the ground states of quantum long-range models, specifically the transverse-field Ising model for spin-1/2 chains across different interaction regimes. Harnessing the transformer's capacity to capture long-range correlations, we compute the full phase diagram and critical properties of the model in both the ferromagnetic and antiferromagnetic cases. Our findings show that the ViT maintains high accuracy across the full phase diagram. We compare these results with previous numerical studies in the literature and, in particular, show that the ViT has a superior performance than a restricted-Boltzmann-machine-like ansatz. 000147972 536__ $$9info:eu-repo/grantAgreement/EUR/MICINN/TED2021-131447B-C21$$9info:eu-repo/grantAgreement/ES/MICINN-AEI/PRTR-C17.I1$$9info:eu-repo/grantAgreement/ES/DGA/E09-17R-Q-MAD$$9info:eu-repo/grantAgreement/ES/AEI/CEX2023-001286-S 000147972 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000147972 590__ $$a3.7$$b2024 000147972 592__ $$a1.303$$b2024 000147972 591__ $$aMATERIALS SCIENCE, MULTIDISCIPLINARY$$b208 / 460 = 0.452$$c2024$$dQ2$$eT2 000147972 591__ $$aPHYSICS, CONDENSED MATTER$$b30 / 79 = 0.38$$c2024$$dQ2$$eT2 000147972 591__ $$aPHYSICS, APPLIED$$b66 / 187 = 0.353$$c2024$$dQ2$$eT2 000147972 593__ $$aCondensed Matter Physics$$c2024$$dQ1 000147972 593__ $$aElectronic, Optical and Magnetic Materials$$c2024$$dQ1 000147972 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000147972 700__ $$aGallego, Manuel$$uUniversidad de Zaragoza 000147972 700__ $$0(orcid)0000-0001-6284-0521$$aLuis, Fernando 000147972 700__ $$0(orcid)0000-0003-0971-1098$$aCarrete, Jesús 000147972 700__ $$0(orcid)0000-0003-4478-1948$$aZueco, David 000147972 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000147972 773__ $$g110, 20 (2024), 205147 [13 pp.]$$pPhys. Rev. B$$tPhysical Review B$$x2469-9950 000147972 8564_ $$s3815806$$uhttps://zaguan.unizar.es/record/147972/files/texto_completo.pdf$$yPostprint 000147972 8564_ $$s3207370$$uhttps://zaguan.unizar.es/record/147972/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000147972 909CO $$ooai:zaguan.unizar.es:147972$$particulos$$pdriver 000147972 951__ $$a2025-09-22-14:47:51 000147972 980__ $$aARTICLE