Is second-layer 3He on graphite a gapless spin liquid? · revision history

Revision 2

Accepted · core change · record

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Title · changed
Revision 1: Is second-layer 3He on graphite a gapless spin liquid
Revision 2: Is second-layer 3He on graphite a gapless spin liquid?
Plain
A layer of helium-3 atoms adsorbed on graphite forms a triangular solid in which nuclear spins interact through atoms exchanging places in rings. Down to the lowest temperatures reached, these spins show no order, suggesting a quantum spin liquid.
Precise · changed · core
Revision 1: At the $4/7$ commensurate density of the 2D solid 3He layer on preplated graphite, multiple-spin ring exchange on a triangular lattice produces no magnetic order: magnetization measured by direct nuclear demagnetization rises smoothly down to about $1e-5\,\mathrm{K}$, which bounds any spin gap below about $1e-5\,\mathrm{K}$ (Masutomi et al. 2004). Determine the ground state of the triangular ring-exchange model at the measured $J2, J4, J5, J6$ ratios and test experimentally whether the state is a gapless spin liquid, gapped, or ordered. An answer is a classification supported by both computation and data below $1e-5\,\mathrm{K}$.
Revision 2: At the $4/7$ commensurate density of the 2D solid 3He layer on preplated graphite, multiple-spin ring exchange on a triangular lattice produces no magnetic order: magnetization measured by direct nuclear demagnetization rises smoothly down to about $10^{-5}\,\mathrm{K}$, which bounds any spin gap below about $10^{-5}\,\mathrm{K}$ (Masutomi et al. 2004). Determine the ground state of the triangular ring-exchange model at the measured $J2, J4, J5, J6$ ratios and test experimentally whether the state is a gapless spin liquid, gapped, or ordered. An answer is a classification supported by both computation and data below $10^{-5}\,\mathrm{K}$.
Settled by · changed · core
Revision 1: Heat capacity and susceptibility below 1e-5 K together with a controlled numerical solution of the ring-exchange model at the measured couplings.
Revision 2: Heat capacity and susceptibility below $10^{-5}$ K together with a controlled numerical solution of the ring-exchange model at the measured couplings.
Kind
well-posed
Answer type
classification
References
(empty)
Literature status
open
Status note
(empty)
Posed since
(empty)

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