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EnglishThe spin-1/2 J1-J2 Heisenberg model on the square lattice represents one of the simplest examples in which the effects of magnetic interactions may suppress magnetic order, eventually leading to a pure quantum phase with no local order parameters. This model has been extensively studied in the last three decades, with conflicting results. Here, by using Gutzwiller-projected wave functions and recently developed methods to assess the low-energy spectrum, we show the existence of a level crossing between the lowest-energy triplet and singlet excitations for J2/J1≈0.54. This fact supports the existence of a phase transition between a gapless spin liquid (which is stable for 0.48≲J2/J1≲0.54) and a valence-bond solid (for 0.54≲J2/J1≲0.6), even though no clear sign of dimer order is visible in the correlations functions. These results, which confirm recent density-matrix renormalization calculations on cylindrical clusters [L. Wang and A. W. Sandvik, Phys. Rev. Lett. 121, 107202 (2018)10.1103/PhysRevLett.121.107202], reconcile the contradicting results obtained within different approaches over the years.
Gapless spin liquid and valence-bond solid in the J1 - J2 Heisenberg model on the square lattice: Insights from singlet and triplet excitations / Ferrari, F.; Becca, F.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 102:1(2020), pp. 1-5.
| Titolo: | Gapless spin liquid and valence-bond solid in the J1 - J2 Heisenberg model on the square lattice: Insights from singlet and triplet excitations | |
| Autori: | Ferrari, F.; Becca, F. | |
| Rivista: | ||
| Data di pubblicazione: | 2020 | |
| Volume: | 102 | |
| Fascicolo: | 1 | |
| Pagina iniziale: | 1 | |
| Pagina finale: | 5 | |
| Numero di Articolo: | 014417 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevB.102.014417 | |
| URL: | https://arxiv.org/abs/2005.12941 | |
| Appare nelle tipologie: | 1.1 Journal article |
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http://hdl.handle.net/20.500.11767/115256
