## This content will become publicly available on October 22, 2020

# Frustrated magnetic interactions in an $S=3/2$ bilayer honeycomb lattice compound ${\mathrm{Bi}}_{3}{\mathrm{Mn}}_{4}{\mathrm{O}}_{12}$ ( ${\mathrm{NO}}_{3}$)

## Abstract

An inelastic neutron scattering study has been performed in an $S=3/2$ bilayer honeycomb lattice compound ${\mathrm{Bi}}_{3}{\mathrm{Mn}}_{4}{\mathrm{O}}_{12}$ ( ${\mathrm{NO}}_{3}$) at ambient and high magnetic fields. Relatively broad and monotonically dispersive magnetic excitations were observed at ambient field, where no long-range magnetic order exists. In the magnetic-field-induced long-range ordered state at 10 T, the magnetic dispersions become slightly more intense, albeit still broad as in the disordered state, and two excitation gaps, probably originating from an easy-plane magnetic anisotropy and intrabilayer interactions, develop. Here, analyzing the magnetic dispersions using the linear spin-wave theory, we estimated the intraplane and intrabilayer magnetic interactions, which are almost consistent with those determined by ab initio density functional theory calculations, except the third and fourth neighbor intrabilayer interactions. Most importantly, as predicted by the theory, there is no significant frustration in the honeycomb plane but frustrating intrabilayer interactions probably give rise to the disordered ground state.

- Authors:

- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Duke Univ., Durham, NC (United States)
- National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
- Univ. of Yamanashi, Kofu (Japan)
- Tokyo Inst. of Technology, Yokohama (Japan)

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

- OSTI Identifier:
- 1571846

- Grant/Contract Number:
- AC05-00OR22725

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review B

- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 13; Journal ID: ISSN 2469-9950

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

### Citation Formats

```
Matsuda, Masaaki, Dissanayake, Sachith E., Abernathy, Douglas L., Qiu, Y., Copley, J. R. D., Kumada, N., and Azuma, Masaki. Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3). United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.134430.
```

```
Matsuda, Masaaki, Dissanayake, Sachith E., Abernathy, Douglas L., Qiu, Y., Copley, J. R. D., Kumada, N., & Azuma, Masaki. Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3). United States. doi:10.1103/PhysRevB.100.134430.
```

```
Matsuda, Masaaki, Dissanayake, Sachith E., Abernathy, Douglas L., Qiu, Y., Copley, J. R. D., Kumada, N., and Azuma, Masaki. Tue .
"Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3)". United States. doi:10.1103/PhysRevB.100.134430.
```

```
@article{osti_1571846,
```

title = {Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3)},

author = {Matsuda, Masaaki and Dissanayake, Sachith E. and Abernathy, Douglas L. and Qiu, Y. and Copley, J. R. D. and Kumada, N. and Azuma, Masaki},

abstractNote = {An inelastic neutron scattering study has been performed in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3) at ambient and high magnetic fields. Relatively broad and monotonically dispersive magnetic excitations were observed at ambient field, where no long-range magnetic order exists. In the magnetic-field-induced long-range ordered state at 10 T, the magnetic dispersions become slightly more intense, albeit still broad as in the disordered state, and two excitation gaps, probably originating from an easy-plane magnetic anisotropy and intrabilayer interactions, develop. Here, analyzing the magnetic dispersions using the linear spin-wave theory, we estimated the intraplane and intrabilayer magnetic interactions, which are almost consistent with those determined by ab initio density functional theory calculations, except the third and fourth neighbor intrabilayer interactions. Most importantly, as predicted by the theory, there is no significant frustration in the honeycomb plane but frustrating intrabilayer interactions probably give rise to the disordered ground state.},

doi = {10.1103/PhysRevB.100.134430},

journal = {Physical Review B},

number = 13,

volume = 100,

place = {United States},

year = {2019},

month = {10}

}

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