Precise determination of low energy electronuclear Hamiltonian for
LiY$_{1-x}$Ho$_{x}$F$_{4}$
- URL: http://arxiv.org/abs/2012.09233v1
- Date: Wed, 16 Dec 2020 19:56:38 GMT
- Title: Precise determination of low energy electronuclear Hamiltonian for
LiY$_{1-x}$Ho$_{x}$F$_{4}$
- Authors: A. Beckert, R.I. Hermans, M. Grimm, J.R. Freeman, E.H. Linfield, A.G.
Davies, M. M\"uller, H. Sigg, S. Gerber, G. Matmon, G. Aeppli
- Abstract summary: We use optical spectroscopy methods to measure the lowest crystal-field energies of the rare-earth quantum magnet LiY$_1-x$Ho$_x$F$4$.
We are able to observe energy level splittings due to the $6mathrmLi$ and $7mathrmLi$ isotopes, as well as non-equidistantly spaced hyperfine transitions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We use complementary optical spectroscopy methods to directly measure the
lowest crystal-field energies of the rare-earth quantum magnet
LiY$_{1-x}$Ho$_{x}$F$_{4}$, including their hyperfine splittings, with more
than 10 times higher resolution than previous work. We are able to observe
energy level splittings due to the $^6\mathrm{Li}$ and $^7\mathrm{Li}$
isotopes, as well as non-equidistantly spaced hyperfine transitions originating
from dipolar and quadrupolar hyperfine interactions. We provide refined crystal
field parameters and extract the dipolar and quadrupolar hyperfine constants
${A_J=0.02703\pm0.00003}$ $\textrm{cm}^{-1}$ and ${B= 0.04 \pm0.01}$
$\textrm{cm}^{-1}$, respectively. Thereupon we determine all crystal-field
energy levels and magnetic moments of the $^5I_8$ ground state manifold,
including the (non-linear) hyperfine corrections. The latter match the
measurement-based estimates. The scale of the non-linear hyperfine corrections
sets an upper bound for the inhomogeneous line widths that would still allow
for unique addressing of a selected hyperfine transition. e.g. for quantum
information applications. Additionally, we establish the far-infrared,
low-temperature refractive index of LiY$_{1-x}$Ho$_{x}$F$_{4}$.
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