The 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. [10.1103/PhysRevB.102.014417]

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.
2020

Abstract

The 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.
PHYSICAL REVIEW. B
102
1
1
5
014417
https://arxiv.org/abs/2005.12941
Ferrari, F.; Becca, F.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/115256
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