129957 20250307094029.0 doi 10.1103/PhysRevB.108.165130 sideral 136301 ART-2023-136301 eng Román-Roche, Juan (orcid)0000-0003-2995-6615 Exact solution for quantum strong long-range models via a generalized Hubbard-Stratonovich transformation 2023 Access copy available to the general public Unrestricted We present an exact analytical solution for quantum strong long-range models in the canonical ensemble by extending the classical solution proposed in Campa et al. [J. Phys. A: Math. Gen. 36, 6897 (2003)]. Specifically, we utilize the equivalence between generalized Dicke models and interacting quantum models as a generalization of the Hubbard-Stratonovich transformation. To demonstrate our method, we apply it to the Ising chain in transverse field and discuss its potential application to other models, such as the Fermi-Hubbard model, combined short- and long-range models, and models with antiferromagnetic interactions. Our findings indicate that the critical behavior of a model is independent of the range of interactions, within the strong long-range regime, and the dimensionality of the model. Moreover, we show that the order-parameter expression is equivalent to that provided by mean-field theory, thus confirming the exactness of the latter. Finally, we examine the algebraic decay of correlations and characterize its dependence on the range of interactions in the full phase diagram. info:eu-repo/grantAgreement/ES/CSIC/PTI-001 info:eu-repo/grantAgreement/ES/DGA/E09-17R-Q-MAD info:eu-repo/grantAgreement/EC/H2020/862893/EU/Molecular spin qudits offering new hope for quantum computing/FATMOLS This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 862893-FATMOLS info:eu-repo/grantAgreement/ES/MCIU/FPU20-07231 info:eu-repo/grantAgreement/ES/MICINN-AEI/PID2020-115221GB-C41 info:eu-repo/grantAgreement/EUR/MICINN/TED2021-131447B-C21 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 3.2 2023 MATERIALS SCIENCE, MULTIDISCIPLINARY 201 / 439 = 0.458 2023 Q2 T2 PHYSICS, CONDENSED MATTER 31 / 79 = 0.392 2023 Q2 T2 PHYSICS, APPLIED 62 / 179 = 0.346 2023 Q2 T2 1.345 2023 Electronic, Optical and Magnetic Materials 2023 Q1 Condensed Matter Physics 2023 Q1 6.3 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Herráiz-López, Víctor Universidad de Zaragoza (orcid)0009-0007-8481-0981 Zueco, David (orcid)0000-0003-4478-1948 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 108, 16 (2023), 165130 [11 pp.] Phys. Rev. B Physical Review B 2469-9950 1181687 http://zaguan.unizar.es/record/129957/files/texto_completo.pdf Versión publicada 2715890 http://zaguan.unizar.es/record/129957/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:129957 articulos driver 2025-03-07-09:38:54 ARTICLE