Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field

Ghioldi, E. A.; Gonzalez, M. G.; Zhang, Shang-Shun; Kamiya, Yoshitomo; Manuel, L. O.; Trumper, A. E.; Batista, C. D.

doi:10.1103/PhysRevB.98.184403

Title: Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field

Journal Article · 01 November 2018 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.98.184403 · OSTI ID:1480561

Ghioldi, E. A.; Gonzalez, M. G.; Zhang, Shang-Shun; Kamiya, Yoshitomo; Manuel, L. O.; Trumper, A. E.; Batista, C. D.

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Sponsoring Organization:: USDOE

OSTI ID:: 1480561

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 18 Vol. 98; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (79)

Interacting Electrons and Quantum Magnetism Auerbach, Assa Graduate Texts in Contemporary Physics https://doi.org/10.1007/978-1-4612-0869-3	book	January 1994
Resonating valence bonds: A new kind of insulator? Anderson, P. W. Materials Research Bulletin, Vol. 8, Issue 2 https://doi.org/10.1016/0025-5408(73)90167-0	journal	February 1973
Quantum phase transitions in frustrated quantum antiferromagnets Chubukov, Andrey V.; Sachdev, Subir; Senthil, T. Nuclear Physics B, Vol. 426, Issue 3 https://doi.org/10.1016/0550-3213(94)90023-X	journal	September 1994
Matrix Analysis Horn, Roger A.; Johnson, Charles R. https://doi.org/10.1017/CBO9781139020411	book	April 2013
Spin liquids in frustrated magnets Balents, Leon Nature, Vol. 464, Issue 7286 https://doi.org/10.1038/nature08917	journal	March 2010
Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet Han, Tian-Heng; Helton, Joel S.; Chu, Shaoyan Nature, Vol. 492, Issue 7429 https://doi.org/10.1038/nature11659	journal	December 2012
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
Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4 Paddison, Joseph A. M.; Daum, Marcus; Dun, Zhiling Nature Physics, Vol. 13, Issue 2 https://doi.org/10.1038/nphys3971	journal	December 2016
Emergent functions of quantum materials Tokura, Yoshinori; Kawasaki, Masashi; Nagaosa, Naoto Nature Physics, Vol. 13, Issue 11 https://doi.org/10.1038/nphys4274	journal	September 2017
Quantum magnetism and criticality Sachdev, Subir Nature Physics, Vol. 4, Issue 3 https://doi.org/10.1038/nphys894	journal	March 2008
Structure of the magnetic excitations in the spin-1/2 triangular-lattice Heisenberg antiferromagnet Ba3CoSb2O9 Ito, Saya; Kurita, Nobuyuki; Tanaka, Hidekazu Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00316-x	journal	August 2017
The nature of spin excitations in the one-third magnetization plateau phase of Ba3CoSb2O9 Kamiya, Y.; Ge, L.; Hong, Tao Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-04914-1	journal	July 2018
Keldysh technique and non-linear σ-model: basic principles and applications Kamenev, Alex; Levchenko, Alex Advances in Physics, Vol. 58, Issue 3 https://doi.org/10.1080/00018730902850504	journal	May 2009
Frontiers in frustrated magnetism Normand, B. Contemporary Physics, Vol. 50, Issue 4 https://doi.org/10.1080/00107510902850361	journal	July 2009
Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors Powell, B. J.; McKenzie, Ross H. Reports on Progress in Physics, Vol. 74, Issue 5 https://doi.org/10.1088/0034-4885/74/5/056501	journal	April 2011
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
A quantum fluids approach to frustrated Heisenberg models Chandra, P.; Coleman, P.; Larkin, A. I. Journal of Physics: Condensed Matter, Vol. 2, Issue 39 https://doi.org/10.1088/0953-8984/2/39/008	journal	October 1990
A Schwinger boson approach to Heisenberg antiferromagnets on a triangular lattice Gazza, C. J.; Ceccatto, H. A. Journal of Physics: Condensed Matter, Vol. 5, Issue 10 https://doi.org/10.1088/0953-8984/5/10/003	journal	March 1993
Frustration and quantum criticality Vojta, Matthias Reports on Progress in Physics, Vol. 81, Issue 6 https://doi.org/10.1088/1361-6633/aab6be	journal	May 2018
Low temperature properties of the triangular-lattice antiferromagnet: a bosonic spinon theory Mezio, A.; Manuel, L. O.; Singh, R. R. P. New Journal of Physics, Vol. 14, Issue 12 https://doi.org/10.1088/1367-2630/14/12/123033	journal	December 2012
Functional integral theories of low-dimensional quantum Heisenberg models Arovas, Daniel P.; Auerbach, Assa Physical Review B, Vol. 38, Issue 1 https://doi.org/10.1103/PhysRevB.38.316	journal	July 1988
Comment on a mean-field theory of quantum antiferromagnets Hirsch, J. E.; Tang, Sanyee Physical Review B, Vol. 39, Issue 4 https://doi.org/10.1103/PhysRevB.39.2850	journal	February 1989
Nonlinear σ models for triangular quantum antiferromagnets Dombre, T.; Read, N. Physical Review B, Vol. 39, Issue 10 https://doi.org/10.1103/PhysRevB.39.6797	journal	April 1989
Bosonic mean-field theory of quantum Heisenberg spin systems: Bose condensation and magnetic order Sarker, Sanjoy; Jayaprakash, C.; Krishnamurthy, H. R. Physical Review B, Vol. 40, Issue 7 https://doi.org/10.1103/PhysRevB.40.5028	journal	September 1989
Spin dynamics in a frustrated magnet with short-range order Mila, F.; Poilblanc, D.; Bruder, C. Physical Review B, Vol. 43, Issue 10 https://doi.org/10.1103/PhysRevB.43.7891	journal	April 1991
Kagome´- and triangular-lattice Heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons Sachdev, Subir Physical Review B, Vol. 45, Issue 21 https://doi.org/10.1103/PhysRevB.45.12377	journal	June 1992
Nonclassical disordered phase in the strong quantum limit of frustrated antiferromagnets Ceccatto, H. A.; Gazza, C. J.; Trumper, A. E. Physical Review B, Vol. 47, Issue 18 https://doi.org/10.1103/PhysRevB.47.12329	journal	May 1993
Quantum antiferromagnet at finite temperature: A gauge-field approach Starykh, Oleg A.; Reiter, George Physical Review B, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevB.49.4368	journal	February 1994
Neutron-scattering cross section of the S =1/2 Heisenberg triangular antiferromagnet Lefmann, Kim; Hedegård, Per Physical Review B, Vol. 50, Issue 2 https://doi.org/10.1103/PhysRevB.50.1074	journal	July 1994
Kagomé Heisenberg antiferromagnet: Elementary excitations and low-temperature specific heat Manuel, L. O.; Trumper, A. E.; Gazza, C. J. Physical Review B, Vol. 50, Issue 2 https://doi.org/10.1103/PhysRevB.50.1313	journal	July 1994
Spin dynamics of the triangular Heisenberg antiferromagnet: A Schwinger-boson approach Mattsson, Ann Physical Review B, Vol. 51, Issue 17 https://doi.org/10.1103/PhysRevB.51.11574	journal	May 1995
Confinement of spinons in the CP M − 1 model Chubukov, Andrey V.; Starykh, Oleg A. Physical Review B, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevB.52.440	journal	July 1995
Antiferromagnetic spin ladders: Crossover between spin S =1/2 and S =1 chains Shelton, D. G.; Nersesyan, A. A.; Tsvelik, A. M. Physical Review B, Vol. 53, Issue 13 https://doi.org/10.1103/PhysRevB.53.8521	journal	April 1996
Crossover from O(3) to O(4) behavior in weakly frustrated antiferromagnets Chubukov, Andrey V.; Starykh, Oleg A. Physical Review B, Vol. 53, Issue 22 https://doi.org/10.1103/PhysRevB.53.R14729	journal	June 1996
Rotational invariance and order-parameter stiffness in frustrated quantum spin systems Manuel, L. O.; Trumper, A. E.; Ceccatto, H. A. Physical Review B, Vol. 57, Issue 14 https://doi.org/10.1103/PhysRevB.57.8348	journal	April 1998
1 / N expansion for two-dimensional quantum ferromagnets Timm, Carsten; Girvin, S. M.; Henelius, Patrik Physical Review B, Vol. 58, Issue 3 https://doi.org/10.1103/PhysRevB.58.1464	journal	July 1998
Magnetic and quantum disordered phases in triangular-lattice Heisenberg antiferromagnets Manuel, L. O.; Ceccatto, H. A. Physical Review B, Vol. 60, Issue 13 https://doi.org/10.1103/PhysRevB.60.9489	journal	October 1999
Quantum orders and symmetric spin liquids Wen, Xiao-Gang Physical Review B, Vol. 65, Issue 16 https://doi.org/10.1103/PhysRevB.65.165113	journal	April 2002
Extended scattering continua characteristic of spin fractionalization in the two-dimensional frustrated quantum magnet Cs 2 CuCl 4 observed by neutron scattering Coldea, R.; Tennant, D. A.; Tylczynski, Z. Physical Review B, Vol. 68, Issue 13 https://doi.org/10.1103/PhysRevB.68.134424	journal	October 2003
Ordering in Cs 2 Cu Cl 4 : Possibility of a proximate spin liquid Isakov, S. V.; Senthil, T.; Kim, Yong Baek Physical Review B, Vol. 72, Issue 17 https://doi.org/10.1103/PhysRevB.72.174417	journal	November 2005
Spin-liquid states on the triangular and Kagomé lattices: A projective-symmetry-group analysis of Schwinger boson states Wang, Fa; Vishwanath, Ashvin Physical Review B, Vol. 74, Issue 17 https://doi.org/10.1103/PhysRevB.74.174423	journal	November 2006
Flat spin-wave dispersion in a triangular antiferromagnet Starykh, Oleg A.; Chubukov, Andrey V.; Abanov, Alexander G. Physical Review B, Vol. 74, Issue 18 https://doi.org/10.1103/PhysRevB.74.180403	journal	November 2006
Excitation spectra of the spin- 1 2 triangular-lattice Heisenberg antiferromagnet Zheng, Weihong; Fjærestad, John O.; Singh, Rajiv R. P. Physical Review B, Vol. 74, Issue 22 https://doi.org/10.1103/PhysRevB.74.224420	journal	December 2006
Symplectic N and time reversal in frustrated magnetism Flint, Rebecca; Coleman, P. Physical Review B, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevB.79.014424	journal	January 2009
Spin waves in a triangular lattice antiferromagnet: Decays, spectrum renormalization, and singularities Chernyshev, A. L.; Zhitomirsky, M. E. Physical Review B, Vol. 79, Issue 14 https://doi.org/10.1103/PhysRevB.79.144416	journal	April 2009
Dynamical spin structure factors of quantum spin nematic states Shindou, Ryuichi; Yunoki, Seiji; Momoi, Tsutomu Physical Review B, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevB.87.054429	journal	February 2013
Time reversal symmetry breaking chiral spin liquids: Projective symmetry group approach of bosonic mean-field theories Messio, Laura; Lhuillier, Claire; Misguich, Grégoire Physical Review B, Vol. 87, Issue 12 https://doi.org/10.1103/PhysRevB.87.125127	journal	March 2013
Dynamical structure factor of the triangular-lattice antiferromagnet Mourigal, M.; Fuhrman, W. T.; Chernyshev, A. L. Physical Review B, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevB.88.094407	journal	September 2013
Quasiclassical magnetic order and its loss in a spin- 1 2 Heisenberg antiferromagnet on a triangular lattice with competing bonds Li, P. H. Y.; Bishop, R. F.; Campbell, C. E. Physical Review B, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevB.91.014426	journal	January 2015
Magnons and excitation continuum in XXZ triangular antiferromagnetic model: Application to Ba 3 CoSb 2 O 9 Ghioldi, E. A.; Mezio, A.; Manuel, L. O. Physical Review B, Vol. 91, Issue 13 https://doi.org/10.1103/PhysRevB.91.134423	journal	April 2015
Spin liquid phase of the S = 1 2 J 1 − J 2 Heisenberg model on the triangular lattice Zhu, Zhenyue; White, Steven R. Physical Review B, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevB.92.041105	journal	July 2015
Competing spin-liquid states in the spin- 1 2 Heisenberg model on the triangular lattice Hu, Wen-Jun; Gong, Shou-Shu; Zhu, Wei Physical Review B, Vol. 92, Issue 14 https://doi.org/10.1103/PhysRevB.92.140403	journal	October 2015
Spin liquid nature in the Heisenberg J 1 − J 2 triangular antiferromagnet Iqbal, Yasir; Hu, Wen-Jun; Thomale, Ronny Physical Review B, Vol. 93, Issue 14 https://doi.org/10.1103/PhysRevB.93.144411	journal	April 2016
Symmetry fractionalization in the topological phase of the spin- 1 2 J 1 − J 2 triangular Heisenberg model Saadatmand, S. N.; McCulloch, I. P. Physical Review B, Vol. 94, Issue 12 https://doi.org/10.1103/PhysRevB.94.121111	journal	September 2016
Global phase diagram and quantum spin liquids in a spin- 1 2 triangular antiferromagnet Gong, Shou-Shu; Zhu, W.; Zhu, J. -X. Physical Review B, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevB.96.075116	journal	August 2017
Schwinger-boson mean-field study of the J 1 − J 2 Heisenberg quantum antiferromagnet on the triangular lattice Bauer, Dag-Vidar; Fjærestad, J. O. Physical Review B, Vol. 96, Issue 16 https://doi.org/10.1103/PhysRevB.96.165141	journal	October 2017
One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice Gonzalez, M. G.; Ghioldi, E. A.; Gazza, C. J. Physical Review B, Vol. 96, Issue 17 https://doi.org/10.1103/PhysRevB.96.174423	journal	November 2017
Successive Phase Transitions and Extended Spin-Excitation Continuum in the S = 1 2 Triangular-Lattice Antiferromagnet Ba 3 CoSb 2 O 9 Zhou, H. D.; Xu, Cenke; Hallas, A. M. Physical Review Letters, Vol. 109, Issue 26 https://doi.org/10.1103/PhysRevLett.109.267206	journal	December 2012
Theory of a Competitive Spin Liquid State for Weak Mott Insulators on the Triangular Lattice Mishmash, Ryan V.; Garrison, James R.; Bieri, Samuel Physical Review Letters, Vol. 111, Issue 15 https://doi.org/10.1103/PhysRevLett.111.157203	journal	October 2013
Static and Dynamical Properties of the Spin- 1 / 2 Equilateral Triangular-Lattice Antiferromagnet Ba 3 CoSb 2 O 9 Ma, J.; Kamiya, Y.; Hong, Tao Physical Review Letters, Vol. 116, Issue 8 https://doi.org/10.1103/PhysRevLett.116.087201	journal	February 2016
Topography of Spin Liquids on a Triangular Lattice Zhu, Zhenyue; Maksimov, P. A.; White, Steven R. Physical Review Letters, Vol. 120, Issue 20 https://doi.org/10.1103/PhysRevLett.120.207203	journal	May 2018
Simple Variational Wave Functions for Two-Dimensional Heisenberg Spin-½ Antiferromagnets Huse, David A.; Elser, Veit Physical Review Letters, Vol. 60, Issue 24 https://doi.org/10.1103/PhysRevLett.60.2531	journal	June 1988
Spin Dynamics in the Square-Lattice Antiferromagnet Auerbach, Assa; Arovas, Daniel P. Physical Review Letters, Vol. 61, Issue 5 https://doi.org/10.1103/PhysRevLett.61.617	journal	August 1988
Large- N expansion for frustrated quantum antiferromagnets Read, N.; Sachdev, Subir Physical Review Letters, Vol. 66, Issue 13 https://doi.org/10.1103/PhysRevLett.66.1773	journal	April 1991
Three-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets Singh, Rajiv R. P.; Huse, David A. Physical Review Letters, Vol. 68, Issue 11 https://doi.org/10.1103/PhysRevLett.68.1766	journal	March 1992
Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices Bernu, B.; Lhuillier, C.; Pierre, L. Physical Review Letters, Vol. 69, Issue 17 https://doi.org/10.1103/PhysRevLett.69.2590	journal	October 1992
Coleman and Chandra reply Coleman, P.; Chandra, P. Physical Review Letters, Vol. 72, Issue 12 https://doi.org/10.1103/PhysRevLett.72.1944	journal	March 1994
Schwinger-Boson Approach to Quantum Spin Systems: Gaussian Fluctuations in the “Natural” Gauge Trumper, A. E.; Manuel, L. O.; Gazza, C. J. Physical Review Letters, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevLett.78.2216	journal	March 1997
Long-Range Néel Order in the Triangular Heisenberg Model Capriotti, Luca; Trumper, Adolfo E.; Sorella, Sandro Physical Review Letters, Vol. 82, Issue 19 https://doi.org/10.1103/PhysRevLett.82.3899	journal	May 1999
Experimental Realization of a 2D Fractional Quantum Spin Liquid Coldea, R.; Tennant, D. A.; Tsvelik, A. M. Physical Review Letters, Vol. 86, Issue 7 https://doi.org/10.1103/PhysRevLett.86.1335	journal	February 2001
Magnon Decay in Noncollinear Quantum Antiferromagnets Chernyshev, A. L.; Zhitomirsky, M. E. Physical Review Letters, Vol. 97, Issue 20 https://doi.org/10.1103/PhysRevLett.97.207202	journal	November 2006
Neél Order in Square and Triangular Lattice Heisenberg Models White, Steven R.; Chernyshev, A. L. Physical Review Letters, Vol. 99, Issue 12 https://doi.org/10.1103/PhysRevLett.99.127004	journal	September 2007
Doping a Mott insulator: Physics of high-temperature superconductivity Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang Reviews of Modern Physics, Vol. 78, Issue 1 https://doi.org/10.1103/RevModPhys.78.17	journal	January 2006
Colloquium : Spontaneous magnon decays Zhitomirsky, M. E.; Chernyshev, A. L. Reviews of Modern Physics, Vol. 85, Issue 1 https://doi.org/10.1103/RevModPhys.85.219	journal	January 2013
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
Large n Expansion for Frustrated and Doped Quantum Antiferromagnets Sachdev, Subir; Read, N. International Journal of Modern Physics B, Vol. 05, Issue 01n02 https://doi.org/10.1142/S0217979291000158	journal	January 1991
Boson Mean Field Theory of the Triangular Lattice Heisenberg Model Yoshioka, Daijiro; Miyazaki, Jun Journal of the Physical Society of Japan, Vol. 60, Issue 2 https://doi.org/10.1143/JPSJ.60.614	journal	February 1991
A test of the bosonic spinon theory for the triangular antiferromagnet spectrum Mezio, A.; Sposetti, C. N.; Manuel, L. O. EPL (Europhysics Letters), Vol. 94, Issue 4 https://doi.org/10.1209/0295-5075/94/47001	journal	May 2011
Gapless Spin-Liquid Phase in an Extended Spin 1/2 Triangular Heisenberg Model Kaneko, Ryui; Morita, Satoshi; Imada, Masatoshi Journal of the Physical Society of Japan, Vol. 83, Issue 9 https://doi.org/10.7566/JPSJ.83.093707	journal	September 2014

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