By direct calculations of the spin gap in the frustrated Heisenberg model on the square lattice, with nearest- (J1) and next-nearest-neighbor (J2) super-exchange couplings, we provide a solid evidence that the spin-liquid phase in the frustrated regime 0.45 J2/J1 0.6 is gapless. Our numerical method is based on a variational wave function that is systematically improved by the application of few Lanczos steps and allows us to obtain reliable extrapolations in the thermodynamic limit. The peculiar nature of the nonmagnetic state is unveiled by the existence of S = 1 gapless excitations at k = (π,0) and (0,π). The magnetic transition can be described and interpreted by a variational state that is built from Abrikosov fermions having a Z2 gauge structure and four Dirac points in the spinon spectrum.

Direct evidence for a gapless Z2 spin liquid by frustrating Neel antiferromagnetism / Hu, W. J.; Becca, Federico; Parola, A; Sorella, Sandro. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 88:6(2013), pp. 060402.060402-1-060402.060402-4. [10.1103/PhysRevB.88.060402]

Direct evidence for a gapless Z2 spin liquid by frustrating Neel antiferromagnetism

Becca, Federico;Sorella, Sandro
2013-01-01

Abstract

By direct calculations of the spin gap in the frustrated Heisenberg model on the square lattice, with nearest- (J1) and next-nearest-neighbor (J2) super-exchange couplings, we provide a solid evidence that the spin-liquid phase in the frustrated regime 0.45 J2/J1 0.6 is gapless. Our numerical method is based on a variational wave function that is systematically improved by the application of few Lanczos steps and allows us to obtain reliable extrapolations in the thermodynamic limit. The peculiar nature of the nonmagnetic state is unveiled by the existence of S = 1 gapless excitations at k = (π,0) and (0,π). The magnetic transition can be described and interpreted by a variational state that is built from Abrikosov fermions having a Z2 gauge structure and four Dirac points in the spinon spectrum.
2013
88
6
060402-1
060402-4
http://link.aps.org/doi/10.1103/PhysRevB.88.060402
https://arxiv.org/abs/1304.2630
Hu, W. J.; Becca, Federico; Parola, A; Sorella, Sandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/17220
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