The case for a U(1)$_π$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce$_2$Zr$_2$O$_7$
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2021
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| author | Smith, E. M. Benton, O. Yahne, D. R. Placke, B. Schäfer, R. Gaudet, J. Dudemaine, J. Fitterman, A. Beare, J. Wildes, A. R. Bhattacharya, S. DeLazzer, T. Buhariwalla, C. R. C. Butch, N. P. Movshovich, R. Garrett, J. D. Marjerrison, C. A. Clancy, J. P. Kermarrec, E. Luke, G. M. Bianchi, A. D. Ross, K. A. Gaulin, B. D. |
| author_facet | Smith, E. M. Benton, O. Yahne, D. R. Placke, B. Schäfer, R. Gaudet, J. Dudemaine, J. Fitterman, A. Beare, J. Wildes, A. R. Bhattacharya, S. DeLazzer, T. Buhariwalla, C. R. C. Butch, N. P. Movshovich, R. Garrett, J. D. Marjerrison, C. A. Clancy, J. P. Kermarrec, E. Luke, G. M. Bianchi, A. D. Ross, K. A. Gaulin, B. D. |
| contents | The Ce$^{3+}$ pseudospin-$\frac{1}{2}$ degrees of freedom in the pyrochlore magnet Ce$_2$Zr$_2$O$_7$ are known to possess dipole-octupole (DO) character, making it a candidate for novel quantum spin liquid (QSL) ground states at low temperatures. We report new polarized neutron diffraction at low temperatures, as well as heat capacity ($C_p$) measurements on single crystal Ce$_2$Zr$_2$O$_7$. The former bears both similarities and differences from that measured in the canonical dipolar spin ice compound Ho$_2$Ti$_2$O$_7$, while the latter rises sharply at low temperatures, initially plateauing near 0.08 K, before falling off towards a high temperature zero beyond 3 K. Above $\sim$0.5 K, the $C_p$ data set can be fit to the results of a quantum numerical linked cluster (NLC) calculation, carried out to 4$^{\mathrm{th}}$ order, that allows estimates for the terms in the near-neighbour XYZ Hamiltonian expected for such DO pyrochlore systems. Fits of the same theory to the temperature dependence of the magnetic susceptibility and unpolarized neutron scattering complement this analysis. A comparison between the resulting best fit NLC calculation and the polarized neutron diffraction shows both agreement and discrepancies, mostly in the form of zone-boundary diffuse scattering in the non-spin flip channel, which are attributed to interactions beyond near-neighbours. The lack of an observed thermodynamic anomaly and the constraints on the near-neighbour XYZ Hamiltonian suggest that Ce$_2$Zr$_2$O$_7$ realizes a U(1)$_π$ QSL state at low temperatures, and one that likely resides near the boundary between dipolar and octupolar character. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_01217 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The case for a U(1)$_π$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce$_2$Zr$_2$O$_7$ Smith, E. M. Benton, O. Yahne, D. R. Placke, B. Schäfer, R. Gaudet, J. Dudemaine, J. Fitterman, A. Beare, J. Wildes, A. R. Bhattacharya, S. DeLazzer, T. Buhariwalla, C. R. C. Butch, N. P. Movshovich, R. Garrett, J. D. Marjerrison, C. A. Clancy, J. P. Kermarrec, E. Luke, G. M. Bianchi, A. D. Ross, K. A. Gaulin, B. D. Strongly Correlated Electrons The Ce$^{3+}$ pseudospin-$\frac{1}{2}$ degrees of freedom in the pyrochlore magnet Ce$_2$Zr$_2$O$_7$ are known to possess dipole-octupole (DO) character, making it a candidate for novel quantum spin liquid (QSL) ground states at low temperatures. We report new polarized neutron diffraction at low temperatures, as well as heat capacity ($C_p$) measurements on single crystal Ce$_2$Zr$_2$O$_7$. The former bears both similarities and differences from that measured in the canonical dipolar spin ice compound Ho$_2$Ti$_2$O$_7$, while the latter rises sharply at low temperatures, initially plateauing near 0.08 K, before falling off towards a high temperature zero beyond 3 K. Above $\sim$0.5 K, the $C_p$ data set can be fit to the results of a quantum numerical linked cluster (NLC) calculation, carried out to 4$^{\mathrm{th}}$ order, that allows estimates for the terms in the near-neighbour XYZ Hamiltonian expected for such DO pyrochlore systems. Fits of the same theory to the temperature dependence of the magnetic susceptibility and unpolarized neutron scattering complement this analysis. A comparison between the resulting best fit NLC calculation and the polarized neutron diffraction shows both agreement and discrepancies, mostly in the form of zone-boundary diffuse scattering in the non-spin flip channel, which are attributed to interactions beyond near-neighbours. The lack of an observed thermodynamic anomaly and the constraints on the near-neighbour XYZ Hamiltonian suggest that Ce$_2$Zr$_2$O$_7$ realizes a U(1)$_π$ QSL state at low temperatures, and one that likely resides near the boundary between dipolar and octupolar character. |
| title | The case for a U(1)$_π$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce$_2$Zr$_2$O$_7$ |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2108.01217 |