Magnetoelastic effects in the hyperhoneycomb Kitaev spin liquid

Shiralieva, A.; Prokoshin, A.; Perkins, N. B.

doi:10.1063/10.0005801

Magnetoelastic effects in the hyperhoneycomb Kitaev spin liquid

Journal Article · Wed Sep 29 00:00:00 EDT 2021 · Low Temperature Physics

DOI:https://doi.org/10.1063/10.0005801· OSTI ID:1831147

Shiralieva, A. ^[1]; Prokoshin, A. ^[2]; Perkins, N. B. ^[3]

National Research Univ. Higher School of Economics, Moscow (Russia); University of Minnesota
Lomonosov Moscow State Univ. (Russia)
Univ. of Minnesota, Minneapolis, MN (United States)

In recent years, several magnetic Mott insulators with strong spin-orbit coupling were suggested to be proximate to the Kitaev quantum spin liquid, whose one of the most exciting features is the fractionalization of spin excitations into itinerant Majorana fermions and static Z₂ fluxes. Unfortunately, the ground states of these systems cannot be easily captured by experiment, remaining featureless to conventional local probes. Here, we propose to study the signatures of fractionalized excitations by exploiting their coupling to the lattice vibrations, dubbed magnetoelastic coupling, which arises from the fact that the interaction between spins depends on the relative distance between them. We argue that the magnetoelastic coupling can lead to the distinct modification of the phonon dynamics, which can be observed by measuring renormalized phonon spectrum, the sound attenuation, and the phonon Hall viscosity. This makes the phonon dynamics a promising tool for the characterization and identification of quantum spin liquid phases. In this work, we focus on the magnetoelastic effects in the three-dimensional Kitaev model realized on the hyperhoneycomb lattice. Here, the hyperhoneycomb Kitaev spin liquid is particularly interesting since the strong Kitaev interaction was observed in the Kitaev magnet β-Li₂IrO₃, for which the spin-orbit entangled J_eff = 1/2 moments of iridium ions form precisely the hyperhoneycomb lattice.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0018056

OSTI ID:: 1831147

Journal Information:: Low Temperature Physics, Journal Name: Low Temperature Physics Journal Issue: 9 Vol. 47; ISSN 1063-777X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (64)

Anyons in an exactly solved model and beyond Kitaev, Alexei Annals of Physics, Vol. 321, Issue 1 https://doi.org/10.1016/j.aop.2005.10.005	journal	January 2006
Spin liquids in frustrated magnets Balents, Leon Nature, Vol. 464, Issue 7286 https://doi.org/10.1038/nature08917	journal	March 2010
Realization of a three-dimensional spin–anisotropic harmonic honeycomb iridate Modic, K. A.; Smidt, Tess E.; Kimchi, Itamar Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5203	journal	June 2014
Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet Banerjee, A.; Bridges, C. A.; Yan, J. -Q. Nature Materials, Vol. 15, Issue 7 https://doi.org/10.1038/nmat4604	journal	April 2016
Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3 Hwan Chun, Sae; Kim, Jong-Woo; Kim, Jungho Nature Physics, Vol. 11, Issue 6 https://doi.org/10.1038/nphys3322	journal	May 2015
Thermodynamic properties of a spin-1/2 spin-liquid state in a κ-type organic salt Yamashita, Satoshi; Nakazawa, Yasuhiro; Oguni, Masaharu Nature Physics, Vol. 4, Issue 6 https://doi.org/10.1038/nphys942	journal	April 2008
Magnon bound states versus anyonic Majorana excitations in the Kitaev honeycomb magnet α-RuCl3 Wulferding, Dirk; Choi, Youngsu; Do, Seung-Hwan Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-15370-1	journal	March 2020
Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid Kasahara, Y.; Ohnishi, T.; Mizukami, Y. Nature, Vol. 559, Issue 7713 https://doi.org/10.1038/s41586-018-0274-0	journal	July 2018
Concept and realization of Kitaev quantum spin liquids Takagi, Hidenori; Takayama, Tomohiro; Jackeli, George Nature Reviews Physics, Vol. 1, Issue 4 https://doi.org/10.1038/s42254-019-0038-2	journal	March 2019
Magnetic vortices in media with spatially inhomogeneous exchange interaction Kovalev, A. S. Low Temperature Physics, Vol. 47, Issue 9 https://doi.org/10.1063/10.0005800	journal	September 2021
Chronicle: The last accomplishment of B. I. Verkin Gredeskul, S. A.; Pastur, L. A.; Freiman, Yu. A. Low Temperature Physics, Vol. 47, Issue 9 https://doi.org/10.1063/10.0005802	journal	September 2021
Quantum spin liquids: a review Savary, Lucile; Balents, Leon Reports on Progress in Physics, Vol. 80, Issue 1 https://doi.org/10.1088/0034-4885/80/1/016502	journal	November 2016
Polarization-resolved Raman spectroscopy of α − RuCl 3 and evidence of room-temperature two-dimensional magnetic scattering Mai, Thuc T.; McCreary, A.; Lampen-Kelley, P. Physical Review B, Vol. 100, Issue 13 https://doi.org/10.1103/PhysRevB.100.134419	journal	October 2019
Phonon renormalization in the Kitaev quantum spin liquid Metavitsiadis, Alexandros; Brenig, Wolfram Physical Review B, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevB.101.035103	journal	January 2020
Anisotropic scattering continuum induced by crystal symmetry reduction in atomically thin α – RuCl 3 Lin, Dongjing; Ran, Kejing; Zheng, Hang Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/PhysRevB.101.045419	journal	January 2020
Thermodynamic classification of three-dimensional Kitaev spin liquids Eschmann, Tim; Mishchenko, Petr A.; O'Brien, Kevin Physical Review B, Vol. 102, Issue 7 https://doi.org/10.1103/PhysRevB.102.075125	journal	August 2020
Temperature evolution of the phonon dynamics in the Kitaev spin liquid Feng, Kexin; Ye, Mengxing; Perkins, Natalia B. Physical Review B, Vol. 103, Issue 21 https://doi.org/10.1103/PhysRevB.103.214416	journal	June 2021
Quantum spin liquid in the spin- 1 ∕ 2 triangular antiferromagnet Et Me 3 Sb [ Pd ( dmit ) 2 ] 2 Itou, T.; Oyamada, A.; Maegawa, S. Physical Review B, Vol. 77, Issue 10 https://doi.org/10.1103/PhysRevB.77.104413	journal	March 2008
Exactly solvable Kitaev model in three dimensions Mandal, Saptarshi; Surendran, Naveen Physical Review B, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevB.79.024426	journal	January 2009
Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material Na 2 IrO 3 Singh, Yogesh; Gegenwart, P. Physical Review B, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevB.82.064412	journal	August 2010
Physical solutions of the Kitaev honeycomb model Pedrocchi, Fabio L.; Chesi, Stefano; Loss, Daniel Physical Review B, Vol. 84, Issue 16 https://doi.org/10.1103/PhysRevB.84.165414	journal	October 2011
Spinon-phonon interaction in algebraic spin liquids Serbyn, Maksym; Lee, Patrick A. Physical Review B, Vol. 87, Issue 17 https://doi.org/10.1103/PhysRevB.87.174424	journal	May 2013
Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice Hermanns, M.; Trebst, S. Physical Review B, Vol. 89, Issue 23 https://doi.org/10.1103/PhysRevB.89.235102	journal	June 2014
α − RuCl 3 : A spin-orbit assisted Mott insulator on a honeycomb lattice Plumb, K. W.; Clancy, J. P.; Sandilands, L. J. Physical Review B, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevB.90.041112	journal	July 2014
Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in β − Li 2 IrO 3 : Full solution via magnetic resonant x-ray diffraction Biffin, A.; Johnson, R. D.; Choi, Sungkyun Physical Review B, Vol. 90, Issue 20 https://doi.org/10.1103/PhysRevB.90.205116	journal	November 2014
Magnetic order in α − RuCl 3 : A honeycomb-lattice quantum magnet with strong spin-orbit coupling Sears, J. A.; Songvilay, M.; Plumb, K. W. Physical Review B, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevB.91.144420	journal	April 2015
Theory of Raman response in three-dimensional Kitaev spin liquids: Application to β - and γ − Li 2 IrO 3 compounds Perreault, Brent; Knolle, Johannes; Perkins, Natalia B. Physical Review B, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevB.92.094439	journal	September 2015
Dynamics of fractionalization in quantum spin liquids Knolle, J.; Kovrizhin, D. L.; Chalker, J. T. Physical Review B, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevB.92.115127	journal	September 2015
Incommensurate counterrotating magnetic order stabilized by Kitaev interactions in the layered honeycomb α − Li 2 IrO 3 Williams, S. C.; Johnson, R. D.; Freund, F. Physical Review B, Vol. 93, Issue 19 https://doi.org/10.1103/PhysRevB.93.195158	journal	May 2016
Majorana spectroscopy of three-dimensional Kitaev spin liquids Smith, A.; Knolle, J.; Kovrizhin, D. L. Physical Review B, Vol. 93, Issue 23 https://doi.org/10.1103/PhysRevB.93.235146	journal	June 2016
Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes Perreault, Brent; Knolle, Johannes; Perkins, Natalia B. Physical Review B, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevB.94.104427	journal	September 2016
Relation between Kitaev magnetism and structure in α − RuCl 3 Glamazda, A.; Lemmens, P.; Do, S. -H. Physical Review B, Vol. 95, Issue 17 https://doi.org/10.1103/PhysRevB.95.174429	journal	May 2017
Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate γ − Li 2 IrO 3 Breznay, Nicholas P.; Ruiz, Alejandro; Frano, Alex Physical Review B, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevB.96.020402	journal	July 2017
Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate β − Li 2 IrO 3 Veiga, L. S. I.; Etter, M.; Glazyrin, K. Physical Review B, Vol. 96, Issue 14 https://doi.org/10.1103/PhysRevB.96.140402	journal	October 2017
Pressure-induced collapse of the spin-orbital Mott state in the hyperhoneycomb iridate β − Li 2 IrO 3 Takayama, T.; Krajewska, A.; Gibbs, A. S. Physical Review B, Vol. 99, Issue 12 https://doi.org/10.1103/PhysRevB.99.125127	journal	March 2019
Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering Halász, Gábor B.; Kourtis, Stefanos; Knolle, Johannes Physical Review B, Vol. 99, Issue 18 https://doi.org/10.1103/PhysRevB.99.184417	journal	May 2019
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models Jackeli, G.; Khaliullin, G. Physical Review Letters, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevLett.102.017205	journal	January 2009
Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A 2 IrO 3 Chaloupka, Jiří; Jackeli, George; Khaliullin, Giniyat Physical Review Letters, Vol. 105, Issue 2 https://doi.org/10.1103/PhysRevLett.105.027204	journal	July 2010
Spinon Phonon Interaction and Ultrasonic Attenuation in Quantum Spin Liquids Zhou, Yi; Lee, Patrick A. Physical Review Letters, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevLett.106.056402	journal	February 2011
Spin Liquid State in the S = 1 / 2 Triangular Lattice Ba 3 CuSb 2 O 9 Zhou, H. D.; Choi, E. S.; Li, G. Physical Review Letters, Vol. 106, Issue 14 https://doi.org/10.1103/PhysRevLett.106.147204	journal	April 2011
Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A 2 IrO 3 Singh, Yogesh; Manni, S.; Reuther, J. Physical Review Letters, Vol. 108, Issue 12 https://doi.org/10.1103/PhysRevLett.108.127203	journal	March 2012
Kapellasite: A Kagome Quantum Spin Liquid with Competing Interactions Fåk, B.; Kermarrec, E.; Messio, L. Physical Review Letters, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevLett.109.037208	journal	July 2012
Dynamics of a Two-Dimensional Quantum Spin Liquid: Signatures of Emergent Majorana Fermions and Fluxes Knolle, J.; Kovrizhin, D. L.; Chalker, J. T. Physical Review Letters, Vol. 112, Issue 20 https://doi.org/10.1103/PhysRevLett.112.207203	journal	May 2014
Raman Scattering Signatures of Kitaev Spin Liquids in A 2 IrO 3 Iridates with A = Na or Li Knolle, J.; Chern, Gia-Wei; Kovrizhin, D. L. Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/PhysRevLett.113.187201	journal	October 2014
Noncoplanar and Counterrotating Incommensurate Magnetic Order Stabilized by Kitaev Interactions in γ − Li 2 IrO 3 Biffin, A.; Johnson, R. D.; Kimchi, I. Physical Review Letters, Vol. 113, Issue 19 https://doi.org/10.1103/PhysRevLett.113.197201	journal	November 2014
Hyperhoneycomb Iridate β − Li 2 IrO 3 as a Platform for Kitaev Magnetism Takayama, T.; Kato, A.; Dinnebier, R. Physical Review Letters, Vol. 114, Issue 7 https://doi.org/10.1103/PhysRevLett.114.077202	journal	February 2015
Scattering Continuum and Possible Fractionalized Excitations in α − RuCl 3 Sandilands, Luke J.; Tian, Yao; Plumb, Kemp W. Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.147201	journal	April 2015
Weyl Spin Liquids Hermanns, M.; O’Brien, K.; Trebst, S. Physical Review Letters, Vol. 114, Issue 15 https://doi.org/10.1103/PhysRevLett.114.157202	journal	April 2015
Resonant Inelastic X-Ray Scattering Response of the Kitaev Honeycomb Model Halász, Gábor B.; Perkins, Natalia B.; van den Brink, Jeroen Physical Review Letters, Vol. 117, Issue 12 https://doi.org/10.1103/PhysRevLett.117.127203	journal	September 2016
Evidence for a Field-Induced Quantum Spin Liquid in α - RuCl 3 Baek, S. -H.; Do, S. -H.; Choi, K. -Y. Physical Review Letters, Vol. 119, Issue 3 https://doi.org/10.1103/PhysRevLett.119.037201	journal	July 2017
Probing Spinon Nodal Structures in Three-Dimensional Kitaev Spin Liquids Halász, Gábor B.; Perreault, Brent; Perkins, Natalia B. Physical Review Letters, Vol. 119, Issue 9 https://doi.org/10.1103/PhysRevLett.119.097202	journal	August 2017
Unusual Phonon Heat Transport in α − RuCl 3 : Strong Spin-Phonon Scattering and Field-Induced Spin Gap Hentrich, Richard; Wolter, Anja U. B.; Zotos, Xenophon Physical Review Letters, Vol. 120, Issue 11 https://doi.org/10.1103/PhysRevLett.120.117204	journal	March 2018
Breakdown of Magnetic Order in the Pressurized Kitaev Iridate β − Li 2 IrO 3 Majumder, M.; Manna, R. S.; Simutis, G. Physical Review Letters, Vol. 120, Issue 23 https://doi.org/10.1103/PhysRevLett.120.237202	journal	June 2018
Flux Phase of the Half-Filled Band Lieb, Elliott H. Physical Review Letters, Vol. 73, Issue 16 https://doi.org/10.1103/PhysRevLett.73.2158	journal	October 1994
Spin Liquid State in an Organic Mott Insulator with a Triangular Lattice Shimizu, Y.; Miyagawa, K.; Kanoda, K. Physical Review Letters, Vol. 91, Issue 10 https://doi.org/10.1103/PhysRevLett.91.107001	journal	September 2003
Spin-Liquid State in the S = 1 / 2 Hyperkagome Antiferromagnet Na 4 Ir 3 O 8 Okamoto, Yoshihiko; Nohara, Minoru; Aruga-Katori, Hiroko Physical Review Letters, Vol. 99, Issue 13 https://doi.org/10.1103/PhysRevLett.99.137207	journal	September 2007
Phonon dynamics in the Kitaev spin liquid Ye, Mengxing; Fernandes, Rafael M.; Perkins, Natalia B. Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033180	journal	August 2020
Quantum spin liquid states Zhou, Yi; Kanoda, Kazushi; Ng, Tai-Kai Reviews of Modern Physics, Vol. 89, Issue 2 https://doi.org/10.1103/RevModPhys.89.025003	journal	April 2017
An End to the Drought of Quantum Spin Liquids Lee, P. A. Science, Vol. 321, Issue 5894 https://doi.org/10.1126/science.1163196	journal	September 2008
Highly Mobile Gapless Excitations in a Two-Dimensional Candidate Quantum Spin Liquid Yamashita, M.; Nakata, N.; Senshu, Y. Science, Vol. 328, Issue 5983 https://doi.org/10.1126/science.1188200	journal	June 2010
Neutron scattering in the proximate quantum spin liquid α-RuCl ₃ Banerjee, Arnab; Yan, Jiaqiang; Knolle, Johannes Science, Vol. 356, Issue 6342 https://doi.org/10.1126/science.aah6015	journal	June 2017
Quantum spin liquids Broholm, C.; Cava, R. J.; Kivelson, S. A. Science, Vol. 367, Issue 6475 https://doi.org/10.1126/science.aay0668	journal	January 2020
A Field Guide to Spin Liquids Knolle, J.; Moessner, R. Annual Review of Condensed Matter Physics, Vol. 10, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031218-013401	journal	March 2019
Hunting Majorana Fermions in Kitaev Magnets Motome, Yukitoshi; Nasu, Joji Journal of the Physical Society of Japan, Vol. 89, Issue 1 https://doi.org/10.7566/JPSJ.89.012002	journal	January 2020

Similar Records

Signatures of fractionalization in the optical phonons of the hyperhoneycomb Kitaev magnet 𝛽−Li₂⁢IrO₃

Journal Article · Thu Oct 10 20:00:00 EDT 2024 · Physical Review. B · OSTI ID:3004502

Sound attenuation in the hyperhoneycomb Kitaev spin liquid

Journal Article · Wed Oct 19 20:00:00 EDT 2022 · Physical Review. B · OSTI ID:1893852

Phonon dynamics in the site-disordered Kitaev spin liquid

Journal Article · Sun Sep 22 20:00:00 EDT 2024 · Physical Review. B · OSTI ID:3004458

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Acoustic attenuation
Fermions
Insulators
Inverse magnetostrictive effect
Lattice vibrations
Phase transitions
Phonon spectroscopy
Quantum fluids
Spin-orbit interactions
Wave mechanics

Magnetoelastic effects in the hyperhoneycomb Kitaev spin liquid

Citation Formats

References (64)

Similar Records

Related Subjects