Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids
Abstract
Relativistic Mott insulators known as “Kitaev materials” potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation protocol that exploits universal edge physics. The setup features holes in the spin liquid, which define energetically cheap locations for non-Abelian anyons, connected by a narrow bridge that can be tuned between spin liquid and topologically trivial phases. We show that modulating the bridge from trivial to spin liquid over intermediate time scales—quantified by analytics and extensive simulations—deposits non-Abelian anyons into the holes with O(1) probability. The required bridge manipulations can be implemented by integrating the Kitaev material into magnetic tunnel junction arrays that engender locally tunable exchange fields. Combined with existing readout strategies, our protocol reveals a path to topological qubit experiments in Kitaev materials at zero applied magnetic field.
- Authors:
-
[1];
[1];
[2];
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Boston College, Chestnut Hill, MA (United States)
- Publication Date:
- Research Org.:
- National Quantum Information Science (QIS) Research Centers (United States). The Quantum Science Center (QSC)
- Sponsoring Org.:
- USDOE Office of Science (SC); US Office of Naval Research (ONR); US Army Research Office (ARO); Gordon and Betty Moore Foundation
- OSTI Identifier:
- 1982828
- Grant/Contract Number:
- AC05-00OR22725; N00014-20-1-2308; W911NF-17-1-0323; GBMF1250
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 129; Journal Issue: 3; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Physics; anyons; edge states; quantum spin liquid; topological quantum computing; Kitaev model
Citation Formats
Liu, Yue, Slagle, Kevin, Burch, Kenneth S., and Alicea, Jason. Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids. United States: N. p., 2022.
Web. doi:10.1103/physrevlett.129.037201.
Liu, Yue, Slagle, Kevin, Burch, Kenneth S., & Alicea, Jason. Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids. United States. https://doi.org/10.1103/physrevlett.129.037201
Liu, Yue, Slagle, Kevin, Burch, Kenneth S., and Alicea, Jason. Mon .
"Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids". United States. https://doi.org/10.1103/physrevlett.129.037201. https://www.osti.gov/servlets/purl/1982828.
@article{osti_1982828,
title = {Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids},
author = {Liu, Yue and Slagle, Kevin and Burch, Kenneth S. and Alicea, Jason},
abstractNote = {Relativistic Mott insulators known as “Kitaev materials” potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation protocol that exploits universal edge physics. The setup features holes in the spin liquid, which define energetically cheap locations for non-Abelian anyons, connected by a narrow bridge that can be tuned between spin liquid and topologically trivial phases. We show that modulating the bridge from trivial to spin liquid over intermediate time scales—quantified by analytics and extensive simulations—deposits non-Abelian anyons into the holes with O(1) probability. The required bridge manipulations can be implemented by integrating the Kitaev material into magnetic tunnel junction arrays that engender locally tunable exchange fields. Combined with existing readout strategies, our protocol reveals a path to topological qubit experiments in Kitaev materials at zero applied magnetic field.},
doi = {10.1103/physrevlett.129.037201},
journal = {Physical Review Letters},
number = 3,
volume = 129,
place = {United States},
year = {Mon Jul 11 00:00:00 EDT 2022},
month = {Mon Jul 11 00:00:00 EDT 2022}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Optical probe of Heisenberg-Kitaev magnetism in
journal, November 2016
- Sandilands, Luke J.; Sohn, C. H.; Park, H. J.
- Physical Review B, Vol. 94, Issue 19
Breakdown of magnons in a strongly spin-orbital coupled magnet
journal, October 2017
- Winter, Stephen M.; Riedl, Kira; Maksimov, Pavel A.
- Nature Communications, Vol. 8, Issue 1
Thermal Interferometry of Anyons in Spin Liquids
journal, October 2021
- Wei, Zezhu; Mitrović, V. F.; Feldman, D. E.
- Physical Review Letters, Vol. 127, Issue 16
Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
journal, February 1986
- Blöte, H. W. J.; Cardy, John L.; Nightingale, M. P.
- Physical Review Letters, Vol. 56, Issue 7
Angle-dependent thermodynamics of
journal, February 2021
- Bachus, S.; Kaib, D. A. S.; Jesche, A.
- Physical Review B, Vol. 103, Issue 5
Kondo Impurities in the Kitaev Spin Liquid: Numerical Renormalization Group Solution and Gauge-Flux-Driven Screening
journal, July 2016
- Vojta, Matthias; Mitchell, Andrew K.; Zschocke, Fabian
- Physical Review Letters, Vol. 117, Issue 3
Bulk anyons as edge symmetries: Boundary phase diagrams of topologically ordered states
journal, August 2021
- Lichtman, Tsuf; Thorngren, Ryan; Lindner, Netanel H.
- Physical Review B, Vol. 104, Issue 7
Single-Shot Time-Domain Studies of Spin-Torque-Driven Switching in Magnetic Tunnel Junctions
journal, March 2010
- Cui, Y. -T.; Finocchio, G.; Wang, C.
- Physical Review Letters, Vol. 104, Issue 9
Proximate ferromagnetic state in the Kitaev model material α-RuCl3
journal, July 2021
- Suzuki, H.; Liu, H.; Bertinshaw, J.
- Nature Communications, Vol. 12, Issue 1
Majorana edge modes in the Kitaev model
journal, June 2014
- Thakurathi, Manisha; Sengupta, K.; Sen, Diptiman
- Physical Review B, Vol. 89, Issue 23
Ferromagnetic Kitaev interaction and the origin of large magnetic anisotropy in α-RuCl3
journal, April 2020
- Sears, Jennifer A.; Chern, Li Ern; Kim, Subin
- Nature Physics
Time-Domain Anyon Interferometry in Kitaev Honeycomb Spin Liquids and Beyond
journal, April 2021
- Klocke, Kai; Aasen, David; Mong, Roger S. K.
- Physical Review Letters, Vol. 126, Issue 17
Quantum spin liquids: a review
journal, November 2016
- Savary, Lucile; Balents, Leon
- Reports on Progress in Physics, Vol. 80, Issue 1
Spin transfer torques
journal, April 2008
- Ralph, D. C.; Stiles, M. D.
- Journal of Magnetism and Magnetic Materials, Vol. 320, Issue 7
Sample dependence of half-integer quantized thermal Hall effect in the Kitaev spin-liquid candidate
journal, December 2020
- Yamashita, M.; Gouchi, J.; Uwatoko, Y.
- Physical Review B, Vol. 102, Issue 22
Thermal Probes of Phonon-Coupled Kitaev Spin Liquids: From Accurate Extraction of Quantized Edge Transport to Anyon Interferometry
journal, February 2022
- Klocke, Kai; Moore, Joel E.; Alicea, Jason
- Physical Review X, Vol. 12, Issue 1
Proposed Experiments to Probe the Non-Abelian Quantum Hall State
journal, January 2006
- Stern, Ady; Halperin, Bertrand I.
- Physical Review Letters, Vol. 96, Issue 1
Detecting Non-Abelian Statistics in the Fractional Quantum Hall State
journal, January 2006
- Bonderson, Parsa; Kitaev, Alexei; Shtengel, Kirill
- Physical Review Letters, Vol. 96, Issue 1
Time-resolved spin-torque switching in MgO-based perpendicularly magnetized tunnel junctions
journal, January 2016
- Devolder, T.; Kim, Joo-Von; Garcia-Sanchez, F.
- Physical Review B, Vol. 93, Issue 2
Models and materials for generalized Kitaev magnetism
journal, November 2017
- Winter, Stephen M.; Tsirlin, Alexander A.; Daghofer, Maria
- Journal of Physics: Condensed Matter, Vol. 29, Issue 49
Vortex creation and control in the Kitaev spin liquid by local bond modulations
journal, August 2021
- Jang, Seong-Hoon; Kato, Yasuyuki; Motome, Yukitoshi
- Physical Review B, Vol. 104, Issue 8
Size dependence of nanosecond-scale spin-torque switching in perpendicularly magnetized tunnel junctions
journal, June 2016
- Devolder, T.; Le Goff, A.; Nikitin, V.
- Physical Review B, Vol. 93, Issue 22
Vacancy-Induced Low-Energy Density of States in the Kitaev Spin Liquid
journal, February 2021
- Kao, Wen-Han; Knolle, Johannes; Halász, Gábor B.
- Physical Review X, Vol. 11, Issue 1
Oscillations of the thermal conductivity in the spin-liquid state of α-RuCl3
journal, May 2021
- Czajka, Peter; Gao, Tong; Hirschberger, Max
- Nature Physics, Vol. 17, Issue 8
Single-shot dynamics of spin–orbit torque and spin transfer torque switching in three-terminal magnetic tunnel junctions
journal, January 2020
- Grimaldi, Eva; Krizakova, Viola; Sala, Giacomo
- Nature Nanotechnology, Vol. 15, Issue 2
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Magnetic Excitations and Continuum of a Possibly Field-Induced Quantum Spin Liquid in
journal, November 2017
- Wang, Zhe; Reschke, S.; Hüvonen, D.
- Physical Review Letters, Vol. 119, Issue 22
Thermodynamic Perspective on Field-Induced Behavior of
journal, August 2020
- Bachus, S.; Kaib, D. A. S.; Tokiwa, Y.
- Physical Review Letters, Vol. 125, Issue 9
Non-Adiabatic Crossing of Energy Levels
journal, September 1932
- Zener, C.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 137, Issue 833
Tunneling Spectroscopy of Quantum Spin Liquids
journal, December 2020
- König, Elio J.; Randeria, Mallika T.; Jäck, Berthold
- Physical Review Letters, Vol. 125, Issue 26
Universal term in the free energy at a critical point and the conformal anomaly
journal, February 1986
- Affleck, Ian
- Physical Review Letters, Vol. 56, Issue 7
Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
journal, October 2015
- Rahmani, Armin; Zhu, Xiaoyu; Franz, Marcel
- Physical Review Letters, Vol. 115, Issue 16
Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
journal, April 2005
- Das Sarma, Sankar; Freedman, Michael; Nayak, Chetan
- Physical Review Letters, Vol. 94, Issue 16
Extraction of conformal data in critical quantum spin chains using the Koo-Saleur formula
journal, December 2017
- Milsted, Ashley; Vidal, Guifre
- Physical Review B, Vol. 96, Issue 24
Lattice Supersymmetry and Order-Disorder Coexistence in the Tricritical Ising Model
journal, May 2018
- O’Brien, Edward; Fendley, Paul
- Physical Review Letters, Vol. 120, Issue 20
Disorder in a Quantum Spin Liquid: Flux Binding and Local Moment Formation
journal, June 2010
- Willans, A. J.; Chalker, J. T.; Moessner, R.
- Physical Review Letters, Vol. 104, Issue 23
The density-matrix renormalization group in the age of matrix product states
journal, January 2011
- Schollwöck, Ulrich
- Annals of Physics, Vol. 326, Issue 1
Electrical Probes of the Non-Abelian Spin Liquid in Kitaev Materials
journal, July 2020
- Aasen, David; Mong, Roger S. K.; Hunt, Benjamin M.
- Physical Review X, Vol. 10, Issue 3
Anyons in an exactly solved model and beyond
journal, January 2006
- Kitaev, Alexei
- Annals of Physics, Vol. 321, Issue 1
Concept and realization of Kitaev quantum spin liquids
journal, March 2019
- Takagi, Hidenori; Takayama, Tomohiro; Jackeli, George
- Nature Reviews Physics, Vol. 1, Issue 4
Monoclinic crystal structure of and the zigzag antiferromagnetic ground state
journal, December 2015
- Johnson, R. D.; Williams, S. C.; Haghighirad, A. A.
- Physical Review B, Vol. 92, Issue 23
The range of non-Kitaev terms and fractional particles in α-RuCl3
journal, March 2020
- Wang, Yiping; Osterhoudt, Gavin B.; Tian, Yao
- npj Quantum Materials, Vol. 5, Issue 1
Robustness of the thermal Hall effect close to half-quantization in α-RuCl3
journal, February 2022
- Bruin, J. A. N.; Claus, R. R.; Matsumoto, Y.
- Nature Physics, Vol. 18, Issue 4
Single-Shot Time-Resolved Measurements of Nanosecond-Scale Spin-Transfer Induced Switching: Stochastic Versus Deterministic Aspects
journal, February 2008
- Devolder, T.; Hayakawa, J.; Ito, K.
- Physical Review Letters, Vol. 100, Issue 5
Heisenberg–Kitaev physics in magnetic fields
journal, July 2019
- Janssen, Lukas; Vojta, Matthias
- Journal of Physics: Condensed Matter, Vol. 31, Issue 42
Unusual Thermal Hall Effect in a Kitaev Spin Liquid Candidate
journal, May 2018
- Kasahara, Y.; Sugii, K.; Ohnishi, T.
- Physical Review Letters, Vol. 120, Issue 21
Converting electrons into emergent fermions at a superconductor–Kitaev spin liquid interface
journal, December 2021
- Kishony, Gilad; Berg, Erez
- Physical Review B, Vol. 104, Issue 23
Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections
journal, March 2018
- Hermanns, M.; Kimchi, I.; Knolle, J.
- Annual Review of Condensed Matter Physics, Vol. 9, Issue 1
Half-integer quantized anomalous thermal Hall effect in the Kitaev material candidate α-RuCl 3
journal, July 2021
- Yokoi, T.; Ma, S.; Kasahara, Y.
- Science, Vol. 373, Issue 6554
Neutron scattering in the proximate quantum spin liquid α-RuCl 3
journal, June 2017
- Banerjee, Arnab; Yan, Jiaqiang; Knolle, Johannes
- Science, Vol. 356, Issue 6342
From Luttinger liquid to non-Abelian quantum Hall states
journal, February 2014
- Teo, Jeffrey C. Y.; Kane, C. L.
- Physical Review B, Vol. 89, Issue 8
Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR line shape
journal, July 2015
- Zschocke, Fabian; Vojta, Matthias
- Physical Review B, Vol. 92, Issue 1
Time of Zener tunneling
journal, May 1989
- Mullen, Kieran; Ben-Jacob, Eshel; Gefen, Yuval
- Physical Review Letters, Vol. 62, Issue 21
Efficient Simulation of One-Dimensional Quantum Many-Body Systems
journal, July 2004
- Vidal, Guifré
- Physical Review Letters, Vol. 93, Issue 4
Local probes for charge-neutral edge states in two-dimensional quantum magnets
journal, October 2020
- Feldmeier, Johannes; Natori, Willian; Knap, Michael
- Physical Review B, Vol. 102, Issue 13
Scanning Tunneling Microscopy as a Single Majorana Detector of Kitaev’s Chiral Spin Liquid
journal, March 2021
- Udagawa, Masafumi; Takayoshi, Shintaro; Oka, Takashi
- Physical Review Letters, Vol. 126, Issue 12
Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
journal, July 2018
- Kasahara, Y.; Ohnishi, T.; Mizukami, Y.
- Nature, Vol. 559, Issue 7713
Hunting Majorana Fermions in Kitaev Magnets
journal, January 2020
- Motome, Yukitoshi; Nasu, Joji
- Journal of the Physical Society of Japan, Vol. 89, Issue 1
Topological quantum computation away from the ground state using Majorana fermions
journal, July 2010
- Akhmerov, A. R.
- Physical Review B, Vol. 82, Issue 2
Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
journal, January 2020
- Mizoguchi, Tomonari; Koma, Tohru; Yoshida, Yasuhito
- Physical Review B, Vol. 101, Issue 1
Interacting Anyons in Topological Quantum Liquids: The Golden Chain
journal, April 2007
- Feiguin, Adrian; Trebst, Simon; Ludwig, Andreas W. W.
- Physical Review Letters, Vol. 98, Issue 16
Non-Abelian anyons and topological quantum computation
journal, September 2008
- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- Reviews of Modern Physics, Vol. 80, Issue 3
Electrical Access to Ising Anyons in Kitaev Spin Liquids
journal, November 2020
- Pereira, Rodrigo G.; Egger, Reinhold
- Physical Review Letters, Vol. 125, Issue 22
Fault-tolerant quantum computation by anyons
journal, January 2003
- Kitaev, A. Yu.
- Annals of Physics, Vol. 303, Issue 1
Majorana edge magnetization in the Kitaev honeycomb model
journal, May 2019
- Mizoguchi, Tomonari; Koma, Tohru
- Physical Review B, Vol. 99, Issue 18
Interacting Majorana fermions
journal, July 2019
- Rahmani, Armin; Franz, Marcel
- Reports on Progress in Physics, Vol. 82, Issue 8
Phase diagram of the interacting Majorana chain model
journal, December 2015
- Rahmani, Armin; Zhu, Xiaoyu; Franz, Marcel
- Physical Review B, Vol. 92, Issue 23
Site dilution in the Kitaev honeycomb model
journal, September 2011
- Willans, A. J.; Chalker, J. T.; Moessner, R.
- Physical Review B, Vol. 84, Issue 11
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
journal, January 2009
- Jackeli, G.; Khaliullin, G.
- Physical Review Letters, Vol. 102, Issue 1
Sign Structure of Thermal Hall Conductivity and Topological Magnons for In-Plane Field Polarized Kitaev Magnets
journal, April 2021
- Chern, Li Ern; Zhang, Emily Z.; Kim, Yong Baek
- Physical Review Letters, Vol. 126, Issue 14
Efficient Classical Simulation of Slightly Entangled Quantum Computations
journal, October 2003
- Vidal, Guifré
- Physical Review Letters, Vol. 91, Issue 14