Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
By Wenjun Hu, F. Becca, Alberto Parola, Sandro Sorella. 2013
173 citations recorded by the source corpus.
By direct calculations of the spin gap in the frustrated Heisenberg model on the square lattice, with nearest- ($J_1$) and next-nearest-neighbor ($J_2$) super-exchange couplings, we provide a solid evidence that the spin-liquid phase in the frustrated regime $0.45 \lesssim J_2/J_1 \lesssim 0.6$ is gapless. Our numerical method is based on a variational wave function that is {\it 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 non-magnetic state is unveiled by the existence of S=1 gapless excitations at $k=(\pi,0)$ and $(0,\pi)$. The magnetic transition can be described and interpreted by a variational state that is built from Abrikosov fermions having a $Z_2$ gauge structure and four Dirac points in the spinon spectrum.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/73ed5b0d6192309e75df882c81f88fdbc8817e86
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Quantum spin liquid states (2016, background): “The lowest-energy 19 Z2 spin liquid state is a nodal spin liquid with four Dirac points (Capriotti et al., 2001; Hu et al., 2013), labeled as Z2Azz13 in the projected group symmetry classification scheme (Wen, 2002), which we discuss in section III.5.”