Gate-Controlled Anyon Generation and Detection in Kitaev Spin Liquids

Halász, Gábor B.

doi:10.1103/physrevlett.132.206501

Gate-Controlled Anyon Generation and Detection in Kitaev Spin Liquids

Journal Article · Wed May 15 00:00:00 EDT 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.132.206501· OSTI ID:2373004

^[1]

Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Quantum Science Center (QSC)

Reliable manipulation of non-Abelian Ising anyons supported by Kitaev spin liquids may enable intrinsically fault-tolerant quantum computation. Here, we introduce a standalone scheme for both generating and detecting individual Ising anyons using tunable gate voltages in a heterostructure containing a non-Abelian Kitaev spin liquid and a monolayer semiconductor. In this study, the key ingredients of our setup are a Kondo coupling to stabilize an Ising anyon in the spin liquid around each electron in the semiconductor, and a large charging energy to allow control over the electron numbers in distinct gate-defined regions of the semiconductor. In particular, a single Ising anyon can be generated at a disk-shaped region by gate tuning its electron number to one, while it can be interferometrically detected by measuring the electrical conductance of a ring-shaped region around it whose electron number is allowed to fluctuate between zero and one. We provide concrete experimental guidelines for implementing our proposal in promising candidate materials like α-RuCl₃.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 2373004

Alternate ID(s):: OSTI ID: 2356918

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 132; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (56)

Fault-tolerant quantum computation by anyons Kitaev, A. Yu. Annals of Physics, Vol. 303, Issue 1 https://doi.org/10.1016/S0003-4916(02)00018-0	journal	January 2003
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
2D transition metal dichalcogenides Manzeli, Sajedeh; Ovchinnikov, Dmitry; Pasquier, Diego Nature Reviews Materials, Vol. 2, Issue 8 https://doi.org/10.1038/natrevmats.2017.33	journal	June 2017
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
Non-Abelian statistics and topological quantum information processing in 1D wire networks Alicea, Jason; Oreg, Yuval; Refael, Gil Nature Physics, Vol. 7, Issue 5 https://doi.org/10.1038/nphys1915	journal	February 2011
Majorana fermions in the Kitaev quantum spin system α-RuCl3 Do, Seung-Hwan; Park, Sang-Youn; Yoshitake, Junki Nature Physics, Vol. 13, Issue 11 https://doi.org/10.1038/nphys4264	journal	September 2017
Excitations in the field-induced quantum spin liquid state of α-RuCl3 Banerjee, Arnab; Lampen-Kelley, Paula; Knolle, Johannes npj Quantum Materials, Vol. 3, Issue 1 https://doi.org/10.1038/s41535-018-0079-2	journal	February 2018
Planar thermal Hall effect of topological bosons in the Kitaev magnet α-RuCl3 Czajka, Peter; Gao, Tong; Hirschberger, Max Nature Materials, Vol. 22, Issue 1 https://doi.org/10.1038/s41563-022-01397-w	journal	November 2022
Observation of two types of fractional excitation in the Kitaev honeycomb magnet Janša, Nejc; Zorko, Andrej; Gomilšek, Matjaž Nature Physics, Vol. 14, Issue 8 https://doi.org/10.1038/s41567-018-0129-5	journal	May 2018
Oscillations of the thermal conductivity in the spin-liquid state of α-RuCl3 Czajka, Peter; Gao, Tong; Hirschberger, Max Nature Physics, Vol. 17, Issue 8 https://doi.org/10.1038/s41567-021-01243-x	journal	May 2021
Robustness of the thermal Hall effect close to half-quantization in α-RuCl3 Bruin, J. A. N.; Claus, R. R.; Matsumoto, Y. Nature Physics, Vol. 18, Issue 4 https://doi.org/10.1038/s41567-021-01501-y	journal	February 2022
Majorana zero modes in superconductor–semiconductor heterostructures Lutchyn, R. M.; Bakkers, E. P. A. M.; Kouwenhoven, L. P. Nature Reviews Materials, Vol. 3, Issue 5 https://doi.org/10.1038/s41578-018-0003-1	journal	May 2018
Atom-by-atom fabrication with electron beams Dyck, Ondrej; Ziatdinov, Maxim; Lingerfelt, David B. Nature Reviews Materials, Vol. 4, Issue 7 https://doi.org/10.1038/s41578-019-0118-z	journal	June 2019
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
Bandgap engineering of two-dimensional semiconductor materials Chaves, A.; Azadani, J. G.; Alsalman, Hussain npj 2D Materials and Applications, Vol. 4, Issue 1 https://doi.org/10.1038/s41699-020-00162-4	journal	August 2020
High-pressure studies of atomically thin van der Waals materials Pimenta Martins, Luiz G.; Comin, Riccardo; Matos, Matheus J. S. Applied Physics Reviews, Vol. 10, Issue 1 https://doi.org/10.1063/5.0123283	journal	March 2023
Finite field regime for a quantum spin liquid in α − RuCl 3 Balz, Christian; Lampen-Kelley, Paula; Banerjee, Arnab Physical Review B, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevB.100.060405	journal	August 2019
Local probes for charge-neutral edge states in two-dimensional quantum magnets Feldmeier, Johannes; Natori, Willian; Knap, Michael Physical Review B, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevB.102.134423	journal	October 2020
Sample dependence of half-integer quantized thermal Hall effect in the Kitaev spin-liquid candidate α − RuCl 3 Yamashita, M.; Gouchi, J.; Uwatoko, Y. Physical Review B, Vol. 102, Issue 22 https://doi.org/10.1103/PhysRevB.102.220404	journal	December 2020
Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid Bauer, Tim; Freitas, Lucas R. D.; Pereira, Rodrigo G. Physical Review B, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevB.107.054432	journal	February 2023
Thermal interferometry of anyons Wei, Zezhu; Batra, Navketan; Mitrović, V. F. Physical Review B, Vol. 107, Issue 10 https://doi.org/10.1103/PhysRevB.107.104406	journal	March 2023
Site dilution in the Kitaev honeycomb model Willans, A. J.; Chalker, J. T.; Moessner, R. Physical Review B, Vol. 84, Issue 11 https://doi.org/10.1103/PhysRevB.84.115146	journal	September 2011
Doping a topological quantum spin liquid: Slow holes in the Kitaev honeycomb model Halász, Gábor B.; Chalker, J. T.; Moessner, R. Physical Review B, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevB.90.035145	journal	July 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
Successive magnetic phase transitions in α − RuCl 3 : XY-like frustrated magnet on the honeycomb lattice Kubota, Yumi; Tanaka, Hidekazu; Ono, Toshio Physical Review B, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevB.91.094422	journal	March 2015
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
Anisotropic Ru 3 + 4 d 5 magnetism in the α − RuCl 3 honeycomb system: Susceptibility, specific heat, and zero-field NMR Majumder, M.; Schmidt, M.; Rosner, H. Physical Review B, Vol. 91, Issue 18 https://doi.org/10.1103/PhysRevB.91.180401	journal	May 2015
Monoclinic crystal structure of α − RuCl 3 and the zigzag antiferromagnetic ground state Johnson, R. D.; Williams, S. C.; Haghighirad, A. A. Physical Review B, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevB.92.235119	journal	December 2015
Spin-orbit excitations and electronic structure of the putative Kitaev magnet α − RuCl 3 Sandilands, Luke J.; Tian, Yao; Reijnders, Anjan A. Physical Review B, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevB.93.075144	journal	February 2016
Kondo route to spin inhomogeneities in the honeycomb Kitaev model Das, S. D.; Dhochak, K.; Tripathi, V. Physical Review B, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevB.94.024411	journal	July 2016
Phase diagram of α − RuCl 3 in an in-plane magnetic field Sears, J. A.; Zhao, Y.; Xu, Z. Physical Review B, Vol. 95, Issue 18 https://doi.org/10.1103/PhysRevB.95.180411	journal	May 2017
Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes Karzig, Torsten; Knapp, Christina; Lutchyn, Roman M. Physical Review B, Vol. 95, Issue 23 https://doi.org/10.1103/PhysRevB.95.235305	journal	June 2017
Field-induced quantum criticality in the Kitaev system α − RuCl 3 Wolter, A. U. B.; Corredor, L. T.; Janssen, L. Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevB.96.041405	journal	July 2017
Thermodynamic evidence of fractionalized excitations in α − RuC l 3 Widmann, S.; Tsurkan, V.; Prishchenko, D. A. Physical Review B, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevB.99.094415	journal	March 2019
Disorder in a Quantum Spin Liquid: Flux Binding and Local Moment Formation Willans, A. J.; Chalker, J. T.; Moessner, R. Physical Review Letters, Vol. 104, Issue 23 https://doi.org/10.1103/PhysRevLett.104.237203	journal	June 2010
Magnetic Impurities in the Honeycomb Kitaev Model Dhochak, Kusum; Shankar, R.; Tripathi, V. Physical Review Letters, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevLett.105.117201	journal	September 2010
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
Kondo Impurities in the Kitaev Spin Liquid: Numerical Renormalization Group Solution and Gauge-Flux-Driven Screening Vojta, Matthias; Mitchell, Andrew K.; Zschocke, Fabian Physical Review Letters, Vol. 117, Issue 3 https://doi.org/10.1103/PhysRevLett.117.037202	journal	July 2016
Anomalous Thermal Conductivity and Magnetic Torque Response in the Honeycomb Magnet α − RuCl 3 Leahy, Ian A.; Pocs, Christopher A.; Siegfried, Peter E. Physical Review Letters, Vol. 118, Issue 18 https://doi.org/10.1103/PhysRevLett.118.187203	journal	May 2017
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
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
Electrical Access to Ising Anyons in Kitaev Spin Liquids Pereira, Rodrigo G.; Egger, Reinhold Physical Review Letters, Vol. 125, Issue 22 https://doi.org/10.1103/PhysRevLett.125.227202	journal	November 2020
Tunneling Spectroscopy of Quantum Spin Liquids König, Elio J.; Randeria, Mallika T.; Jäck, Berthold Physical Review Letters, Vol. 125, Issue 26 https://doi.org/10.1103/PhysRevLett.125.267206	journal	December 2020
Scanning Tunneling Microscopy as a Single Majorana Detector of Kitaev’s Chiral Spin Liquid Udagawa, Masafumi; Takayoshi, Shintaro; Oka, Takashi Physical Review Letters, Vol. 126, Issue 12 https://doi.org/10.1103/PhysRevLett.126.127201	journal	March 2021
Time-Domain Anyon Interferometry in Kitaev Honeycomb Spin Liquids and Beyond Klocke, Kai; Aasen, David; Mong, Roger S. K. Physical Review Letters, Vol. 126, Issue 17 https://doi.org/10.1103/PhysRevLett.126.177204	journal	April 2021
Thermal Interferometry of Anyons in Spin Liquids Wei, Zezhu; Mitrović, V. F.; Feldman, D. E. Physical Review Letters, Vol. 127, Issue 16 https://doi.org/10.1103/PhysRevLett.127.167204	journal	October 2021
Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids Liu, Yue; Slagle, Kevin; Burch, Kenneth S. Physical Review Letters, Vol. 129, Issue 3 https://doi.org/10.1103/PhysRevLett.129.037201	journal	July 2022
Nonlocal Spin Correlation as a Signature of Ising Anyons Trapped in Vacancies of the Kitaev Spin Liquid Takahashi, Masahiro O.; Yamada, Masahiko G.; Udagawa, Masafumi Physical Review Letters, Vol. 131, Issue 23 https://doi.org/10.1103/PhysRevLett.131.236701	journal	December 2023
Vacancy Spectroscopy of Non-Abelian Kitaev Spin Liquids Kao, Wen-Han; Perkins, Natalia B.; Halász, Gábor B. Physical Review Letters, Vol. 132, Issue 13 https://doi.org/10.1103/PhysRevLett.132.136503	journal	March 2024
Electrical Probes of the Non-Abelian Spin Liquid in Kitaev Materials Aasen, David; Mong, Roger S. K.; Hunt, Benjamin M. Physical Review X, Vol. 10, Issue 3 https://doi.org/10.1103/PhysRevX.10.031014	journal	July 2020
Vacancy-Induced Low-Energy Density of States in the Kitaev Spin Liquid Kao, Wen-Han; Knolle, Johannes; Halász, Gábor B. Physical Review X, Vol. 11, Issue 1 https://doi.org/10.1103/PhysRevX.11.011034	journal	February 2021
Thermal Probes of Phonon-Coupled Kitaev Spin Liquids: From Accurate Extraction of Quantized Edge Transport to Anyon Interferometry Klocke, Kai; Moore, Joel E.; Alicea, Jason Physical Review X, Vol. 12, Issue 1 https://doi.org/10.1103/PhysRevX.12.011034	journal	February 2022
Milestones Toward Majorana-Based Quantum Computing Aasen, David; Hell, Michael; Mishmash, Ryan V. Physical Review X, Vol. 6, Issue 3 https://doi.org/10.1103/PhysRevX.6.031016	journal	August 2016
Non-Abelian anyons and topological quantum computation Nayak, Chetan; Simon, Steven H.; Stern, Ady Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.1083	journal	September 2008
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
Half-integer quantized anomalous thermal Hall effect in the Kitaev material candidate α-RuCl ₃ Yokoi, T.; Ma, S.; Kasahara, Y. Science, Vol. 373, Issue 6554 https://doi.org/10.1126/science.aay5551	journal	July 2021

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