56
6 Correlations in Magnetic Monopole Motion
achieve precise agreement may require adjustment of the J, D terms [1] in Eq. 1.1,
or better control over finite size scaling effects [4]. But overall, the data in Figs. 6.1
and 6.2 imply that the power-law signatures of strong correlations observed in
both log[C B z (t)/C B z (0)] and S B z (ω, T ) are occurring due to a combination of the
existence of a Dirac-string trailing each monopole (Fig. 2.2) and the Coulombic
interactions.
References
1. T. Fennell et al., Neutron scattering investigation of the spin ice state in dy2ti2o7. Phys. Rev. B
70, 134408 (2004)
2. A. Yacoby, N. Yao, F.K.K. Kirschner, F. Flicker, S.J. Blundell, Proposal for the detection of
magnetic monopoles in spin ice via nanoscale magnetometry. Phys. Rev. B 97, 140402 (2018)
3. P. Holdsworth, L. Jaubert, Magnetic monopole dynamics in spin ice. J. Phys. Condens. Matter
23, 164222 (2011)
4. R.G. Melko, M.J.P. Gingras, Monte carlo studies of the dipolar spin ice model. J. Phys. Condens.
Matter 16, R1277 (2004)
6 Correlations in Magnetic Monopole Motion
achieve precise agreement may require adjustment of the J, D terms [1] in Eq. 1.1,
or better control over finite size scaling effects [4]. But overall, the data in Figs. 6.1
and 6.2 imply that the power-law signatures of strong correlations observed in
both log[C B z (t)/C B z (0)] and S B z (ω, T ) are occurring due to a combination of the
existence of a Dirac-string trailing each monopole (Fig. 2.2) and the Coulombic
interactions.
References
1. T. Fennell et al., Neutron scattering investigation of the spin ice state in dy2ti2o7. Phys. Rev. B
70, 134408 (2004)
2. A. Yacoby, N. Yao, F.K.K. Kirschner, F. Flicker, S.J. Blundell, Proposal for the detection of
magnetic monopoles in spin ice via nanoscale magnetometry. Phys. Rev. B 97, 140402 (2018)
3. P. Holdsworth, L. Jaubert, Magnetic monopole dynamics in spin ice. J. Phys. Condens. Matter
23, 164222 (2011)
4. R.G. Melko, M.J.P. Gingras, Monte carlo studies of the dipolar spin ice model. J. Phys. Condens.
Matter 16, R1277 (2004)