Resummation of the Holstein-Primakoff expansion and differential equation approach to operator square roots

Vogl, Michael; Laurell, Pontus; Zhang, Hao; Okamoto, Satoshi; Fiete, Gregory A.

doi:10.1103/PhysRevResearch.2.043243

Title: Resummation of the Holstein-Primakoff expansion and differential equation approach to operator square roots

Journal Article · 16 November 2020 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.2.043243 · OSTI ID:1716543

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Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1716543

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 4 Vol. 2; ISSN PPRHAI; ISSN 2643-1564

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (116)

Flow-equations for Hamiltonians Wegner, Franz Annalen der Physik, Vol. 506, Issue 2 https://doi.org/10.1002/andp.19945060203	journal	January 1994
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
�ber das Paulische �quivalenzverbot Jordan, P.; Wigner, E. Zeitschrift f�r Physik, Vol. 47, Issue 9-10 https://doi.org/10.1007/BF01331938	journal	September 1928
Der Comptoneffekt nach der Schr�dingerschen Theorie Gordon, W. Zeitschrift f�r Physik, Vol. 40, Issue 1-2 https://doi.org/10.1007/BF01390840	journal	January 1926
Quantentheorie und f�nfdimensionale Relativit�tstheorie Klein, Oskar Zeitschrift f�r Physik, Vol. 37, Issue 12 https://doi.org/10.1007/BF01397481	journal	December 1926
Rigorous foundations of the Brockett–Wegner flow for operators Bach, Volker; Bru, Jean-Bernard Journal of Evolution Equations, Vol. 10, Issue 2 https://doi.org/10.1007/s00028-010-0055-1	journal	March 2010
Flow equations for the spin-boson problem Kehrein, Stefan K.; Mielke, Andreas; Neu, Peter Zeitschrift für Physik B Condensed Matter, Vol. 99, Issue 2 https://doi.org/10.1007/s002570050037	journal	March 1995
Flow equations for band-matrices Mielke, A. The European Physical Journal B, Vol. 5, Issue 3 https://doi.org/10.1007/s100510050485	journal	October 1998
Flow equations for electron-phonon interactions: phonon damping Ragwitz, M.; Wegner, F. The European Physical Journal B, Vol. 8, Issue 1 https://doi.org/10.1007/s100510050663	journal	March 1999
Numerical solution of the Klein–Gordon equation via He’s variational iteration method Shakeri, Fatemeh; Dehghan, Mehdi Nonlinear Dynamics, Vol. 51, Issue 1-2 https://doi.org/10.1007/s11071-006-9194-x	journal	January 2007
The “transition probability” in the state space of a ∗-algebra Uhlmann, A. Reports on Mathematical Physics, Vol. 9, Issue 2 https://doi.org/10.1016/0034-4877(76)90060-4	journal	April 1976
The method of Boson expansions in quantum theory Garbaczewski, Piotr Physics Reports, Vol. 36, Issue 2 https://doi.org/10.1016/0370-1573(78)90147-3	journal	February 1978
Flow equations for Hamiltonians Wegner, Franz J. Physics Reports, Vol. 348, Issue 1-2 https://doi.org/10.1016/S0370-1573(00)00136-8	journal	July 2001
A fidelity measure for quantum channels Raginsky, Maxim Physics Letters A, Vol. 290, Issue 1-2 https://doi.org/10.1016/S0375-9601(01)00640-5	journal	November 2001
Flow equations for electron-phonon interactions Lenz, Peter; Wegner, Franz Nuclear Physics B, Vol. 482, Issue 3 https://doi.org/10.1016/S0550-3213(96)00521-4	journal	December 1996
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
Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows Kelly, Shane P.; Nandkishore, Rahul; Marino, Jamir Nuclear Physics B, Vol. 951 https://doi.org/10.1016/j.nuclphysb.2019.114886	journal	February 2020
Frustrated two dimensional quantum magnets Schmidt, Burkhard; Thalmeier, Peter Physics Reports, Vol. 703 https://doi.org/10.1016/j.physrep.2017.06.004	journal	August 2017
Geometry of Quantum States: An Introduction to Quantum Entanglement Bengtsson, Ingemar; Zyczkowski, Karol https://doi.org/10.1017/9781139207010	book	August 2017
Quantum Computation and Quantum Information Nielsen, Michael A.; Chuang, Isaac L. Cambridge University Press https://doi.org/10.1017/CBO9780511976667	book	January 2011
Wave dispersion derived from the square-root Klein–Gordon–Poisson system Haas, F. Journal of Plasma Physics, Vol. 79, Issue 4 https://doi.org/10.1017/S0022377813000044	journal	February 2013
Spin liquids in frustrated magnets Balents, Leon Nature, Vol. 464, Issue 7286 https://doi.org/10.1038/nature08917	journal	March 2010
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
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
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
Emergence of a field-driven U(1) spin liquid in the Kitaev honeycomb model Hickey, Ciarán; Trebst, Simon Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08459-9	journal	January 2019
Interplay between Kitaev interaction and single ion anisotropy in ferromagnetic CrI3 and CrGeTe3 monolayers Xu, Changsong; Feng, Junsheng; Xiang, Hongjun npj Computational Materials, Vol. 4, Issue 1 https://doi.org/10.1038/s41524-018-0115-6	journal	November 2018
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
Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate α-RuCl3 Laurell, Pontus; Okamoto, Satoshi npj Quantum Materials, Vol. 5, Issue 1 https://doi.org/10.1038/s41535-019-0203-y	journal	January 2020
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
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
Quantum theory of one- and two-dimensional ferro- and antiferromagnets with an easy magnetization plane . I. ideal 1-d or 2-d lattices without in-plane anisotropy Villain, J. Journal de Physique, Vol. 35, Issue 1 https://doi.org/10.1051/jphys:0197400350102700	journal	January 1974
Theory of one- and two-dimensional magnets with an easy magnetization plane. II. The planar, classical, two-dimensional magnet Villain, J. Journal de Physique, Vol. 36, Issue 6 https://doi.org/10.1051/jphys:01975003606058100	journal	January 1975
Relativistic Invariance and the Square‐Root Klein‐Gordon Equation Sucher, J. Journal of Mathematical Physics, Vol. 4, Issue 1 https://doi.org/10.1063/1.1703882	journal	January 1963
The pseudodifferential operator square root of the Klein–Gordon equation Lämmerzahl, Claus Journal of Mathematical Physics, Vol. 34, Issue 9 https://doi.org/10.1063/1.530015	journal	September 1993
Kitaev honeycomb and other exotic spin models with polar molecules Gorshkov, Alexey V.; Hazzard, Kaden R. A.; Rey, Ana Maria Molecular Physics, Vol. 111, Issue 12-13 https://doi.org/10.1080/00268976.2013.800604	journal	June 2013
Fidelity for Mixed Quantum States Jozsa, Richard Journal of Modern Optics, Vol. 41, Issue 12 https://doi.org/10.1080/09500349414552171	journal	December 1994
Flow equations of Hamiltonians Wegner, Franz Philosophical Magazine B, Vol. 77, Issue 5 https://doi.org/10.1080/13642819808205016	journal	May 1998
Spin waves in an easy-plane ferromagnet with single-ion anisotropy Tsuru, K. Journal of Physics C: Solid State Physics, Vol. 19, Issue 12 https://doi.org/10.1088/0022-3719/19/12/016	journal	April 1986
Bose-operator expansions of tensor operators in the theory of magnetism Lindgard, P. -A; Danielsen, O. Journal of Physics C: Solid State Physics, Vol. 7, Issue 8 https://doi.org/10.1088/0022-3719/7/8/017	journal	April 1974
Exact Bose expansion for general spin Goldhirsch, I. Journal of Physics A: Mathematical and General, Vol. 13, Issue 2 https://doi.org/10.1088/0305-4470/13/2/014	journal	February 1980
Flow equations for the Anderson Hamiltonian Kehrein, S. K.; Mielke, A. Journal of Physics A: Mathematical and General, Vol. 27, Issue 12 https://doi.org/10.1088/0305-4470/27/12/030	journal	June 1994
Equivalence in spin wave theories Itoi, C.; Kato, M. Journal of Physics A: Mathematical and General, Vol. 27, Issue 8 https://doi.org/10.1088/0305-4470/27/8/027	journal	April 1994
Unified spin-wave theory for quantum spin systems with single-ion anisotropies Zhou, Lei; Kawazoe, Yoshiyuki Journal of Physics A: Mathematical and General, Vol. 32, Issue 38 https://doi.org/10.1088/0305-4470/32/38/307	journal	September 1999
On the spin–fermion connection Dobrov, Stanislav V. Journal of Physics A: Mathematical and General, Vol. 36, Issue 39 https://doi.org/10.1088/0305-4470/36/39/101	journal	September 2003
Flow equations and normal ordering: a survey Wegner, Franz Journal of Physics A: Mathematical and General, Vol. 39, Issue 25 https://doi.org/10.1088/0305-4470/39/25/S29	journal	June 2006
Linear spin wave theory for single-Q incommensurate magnetic structures Toth, S.; Lake, B. Journal of Physics: Condensed Matter, Vol. 27, Issue 16 https://doi.org/10.1088/0953-8984/27/16/166002	journal	March 2015
Rigorous calculations of non-Abelian statistics in the Kitaev honeycomb model Bolukbasi, Ahmet Tuna; Vala, Jiri New Journal of Physics, Vol. 14, Issue 4 https://doi.org/10.1088/1367-2630/14/4/045007	journal	April 2012
Finite size effects in the Kitaev honeycomb lattice model on a torus Kells, G.; Moran, N.; Vala, J. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 03 https://doi.org/10.1088/1742-5468/2009/03/P03006	journal	March 2009
An extension of Kakutani’s theorem on infinite product measures to the tensor product of semifinite $w\sp{\ast} $-algebras Bures, Donald Transactions of the American Mathematical Society, Vol. 135 https://doi.org/10.1090/S0002-9947-1969-0236719-2	journal	January 1969
General Theory of Spin-Wave Interactions Dyson, Freeman J. Physical Review, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRev.102.1217	journal	June 1956
Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet Holstein, T.; Primakoff, H. Physical Review, Vol. 58, Issue 12 https://doi.org/10.1103/PhysRev.58.1098	journal	December 1940
Analog of Hamilton-Jacobi theory for the time-evolution operator Vogl, Michael; Laurell, Pontus; Barr, Aaron D. Physical Review A, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevA.100.012132	journal	July 2019
Mixed-state sensitivity of several quantum-information benchmarks Peters, Nicholas A.; Wei, Tzu-Chieh; Kwiat, Paul G. Physical Review A, Vol. 70, Issue 5 https://doi.org/10.1103/PhysRevA.70.052309	journal	November 2004
Average fidelity between random quantum states Życzkowski, Karol; Sommers, Hans-Jürgen Physical Review A, Vol. 71, Issue 3 https://doi.org/10.1103/PhysRevA.71.032313	journal	March 2005
Mixed-state fidelity and quantum criticality at finite temperature Zanardi, Paolo; Quan, H. T.; Wang, Xiaoguang Physical Review A, Vol. 75, Issue 3 https://doi.org/10.1103/PhysRevA.75.032109	journal	March 2007
Fidelity between partial states as a signature of quantum phase transitions Paunković, N.; Sacramento, P. D.; Nogueira, P. Physical Review A, Vol. 77, Issue 5 https://doi.org/10.1103/PhysRevA.77.052302	journal	May 2008
Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model Yang, Shuo; Gu, Shi-Jian; Sun, Chang-Pu Physical Review A, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevA.78.012304	journal	July 2008
Alternative fidelity measure between quantum states Mendonça, Paulo E. M. F.; Napolitano, Reginaldo d. J.; Marchiolli, Marcelo A. Physical Review A, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevA.78.052330	journal	November 2008
Operator fidelity susceptibility: An indicator of quantum criticality Wang, Xiaoguang; Sun, Zhe; Wang, Z. D. Physical Review A, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevA.79.012105	journal	January 2009
Thermal states of the Kitaev honeycomb model: Bures metric analysis Abasto, Damian F.; Zanardi, Paolo Physical Review A, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevA.79.012321	journal	January 2009
Reduced fidelity in the Kitaev honeycomb model Wang, Zhi; Ma, Tianxing; Gu, Shi-Jian Physical Review A, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevA.81.062350	journal	June 2010
Quantum-information approach to the quantum phase transition in the Kitaev honeycomb model Cui, Jian; Cao, Jun-Peng; Fan, Heng Physical Review A, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevA.82.022319	journal	August 2010
Uhlmann fidelity between two-mode Gaussian states Marian, Paulina; Marian, Tudor A. Physical Review A, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevA.86.022340	journal	August 2012
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
Deriving models for the Kitaev spin-liquid candidate material α − RuCl 3 from first principles Eichstaedt, Casey; Zhang, Yi; Laurell, Pontus Physical Review B, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevB.100.075110	journal	August 2019
Topological magnonics in the two-dimensional van der Waals magnet CrI 3 Aguilera, Esteban; Jaeschke-Ubiergo, R.; Vidal-Silva, N. Physical Review B, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevB.102.024409	journal	July 2020
Phonon-mediated dimensional crossover in bilayer Cr I 3 Rodriguez-Vega, M.; Lin, Ze-Xun; Leonardo, A. Physical Review B, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevB.102.081117	journal	August 2020
Exact boson representation of quantum spin systems and investigation of their critical behavior Goldhirsch, I.; Levich, E.; Yakhot, V. Physical Review B, Vol. 19, Issue 9 https://doi.org/10.1103/PhysRevB.19.4780	journal	May 1979
Spin gap in chains with hidden symmetries Kiselev, M. N.; Aristov, D. N.; Kikoin, K. Physical Review B, Vol. 71, Issue 9 https://doi.org/10.1103/PhysRevB.71.092404	journal	March 2005
Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking Dusuel, Sébastien; Schmidt, Kai Phillip; Vidal, Julien Physical Review B, Vol. 78, Issue 12 https://doi.org/10.1103/PhysRevB.78.125102	journal	September 2008
Perturbative approach to an exactly solved problem: Kitaev honeycomb model Vidal, Julien; Schmidt, Kai Phillip; Dusuel, Sébastien Physical Review B, Vol. 78, Issue 24 https://doi.org/10.1103/PhysRevB.78.245121	journal	December 2008
S U ( 2 ) slave-boson formulation of spin nematic states in S = 1 2 frustrated ferromagnets Shindou, Ryuichi; Momoi, Tsutomu Physical Review B, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevB.80.064410	journal	August 2009
Realization of the exactly solvable Kitaev honeycomb lattice model in a spin-rotation-invariant system Wang, Fa Physical Review B, Vol. 81, Issue 18 https://doi.org/10.1103/PhysRevB.81.184416	journal	May 2010
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
SU(2) slave fermion solution of the Kitaev honeycomb lattice model Burnell, F. J.; Nayak, Chetan Physical Review B, Vol. 84, Issue 12 https://doi.org/10.1103/PhysRevB.84.125125	journal	September 2011
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
Kitaev-Heisenberg- J 2 - J 3 model for the iridates A 2 IrO 3 Kimchi, Itamar; You, Yi-Zhuang Physical Review B, Vol. 84, Issue 18 https://doi.org/10.1103/PhysRevB.84.180407	journal	November 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
Kitaev magnetism in honeycomb RuCl 3 with intermediate spin-orbit coupling Kim, Heung-Sik; V., Vijay Shankar; Catuneanu, Andrei Physical Review B, Vol. 91, Issue 24 https://doi.org/10.1103/PhysRevB.91.241110	journal	June 2015
Dynamical quantum phase transitions in the Kitaev honeycomb model Schmitt, Markus; Kehrein, Stefan Physical Review B, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevB.92.075114	journal	August 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
Umbrella-coplanar transition in the triangular XXZ model with arbitrary spin Marmorini, Giacomo; Yamamoto, Daisuke; Danshita, Ippei Physical Review B, Vol. 93, Issue 22 https://doi.org/10.1103/PhysRevB.93.224402	journal	June 2016
Localization transition in one dimension using Wegner flow equations Quito, Victor L.; Titum, Paraj; Pekker, David Physical Review B, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevB.94.104202	journal	September 2016
Kitaev honeycomb tensor networks: Exact unitary circuits and applications Schmoll, Philipp; Orús, Román Physical Review B, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevB.95.045112	journal	January 2017
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
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
Time evolution of many-body localized systems with the flow equation approach Thomson, S. J.; Schiró, M. Physical Review B, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevB.97.060201	journal	February 2018
Anisotropic susceptibilities in the honeycomb Kitaev system α − RuCl 3 Lampen-Kelley, P.; Rachel, S.; Reuther, J. Physical Review B, Vol. 98, Issue 10 https://doi.org/10.1103/PhysRevB.98.100403	journal	September 2018
Chemical and hydrostatic-pressure effects on the Kitaev honeycomb material Na 2 IrO 3 Simutis, G.; Barbero, N.; Rolfs, K. Physical Review B, Vol. 98, Issue 10 https://doi.org/10.1103/PhysRevB.98.104421	journal	September 2018
Flow equations for QED in light front dynamics Gubankova, E. L.; Wegner, F. Physical Review D, Vol. 58, Issue 2 https://doi.org/10.1103/PhysRevD.58.025012	journal	June 1998
Quantum fidelity and thermal phase transitions Quan, H. T.; Cucchietti, F. M. Physical Review E, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevE.79.031101	journal	March 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
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
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
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
Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline α − RuCl 3 Ran, Kejing; Wang, Jinghui; Wang, Wei Physical Review Letters, Vol. 118, Issue 10 https://doi.org/10.1103/PhysRevLett.118.107203	journal	March 2017
Ultralow-Temperature Thermal Conductivity of the Kitaev Honeycomb Magnet α − RuCl 3 across the Field-Induced Phase Transition Yu, Y. J.; Xu, Y.; Ran, K. J. Physical Review Letters, Vol. 120, Issue 6 https://doi.org/10.1103/PhysRevLett.120.067202	journal	February 2018
Microscopic Mechanism for a Higher-Spin Kitaev Model Stavropoulos, P. Peter; Pereira, D.; Kee, Hae-Young Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/PhysRevLett.123.037203	journal	July 2019
Fundamental Spin Interactions Underlying the Magnetic Anisotropy in the Kitaev Ferromagnet CrI 3 Lee, Inhee; Utermohlen, Franz G.; Weber, Daniel Physical Review Letters, Vol. 124, Issue 1 https://doi.org/10.1103/PhysRevLett.124.017201	journal	January 2020
Jordan-Wigner transformation for quantum-spin systems in two dimensions and fractional statistics Fradkin, Eduardo Physical Review Letters, Vol. 63, Issue 3 https://doi.org/10.1103/PhysRevLett.63.322	journal	July 1989
Bose-Fermi transformation in three-dimensional space Huerta, Luis; Zanelli, Jorge Physical Review Letters, Vol. 71, Issue 22 https://doi.org/10.1103/PhysRevLett.71.3622	journal	November 1993
Noncommuting Mixed States Cannot Be Broadcast Barnum, Howard; Caves, Carlton M.; Fuchs, Christopher A. Physical Review Letters, Vol. 76, Issue 15 https://doi.org/10.1103/PhysRevLett.76.2818	journal	April 1996
Unitary Integration of Quantum Liouville-Bloch Equations Rau, A. R. P. Physical Review Letters, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevLett.81.4785	journal	November 1998
Generalized Jordan-Wigner Transformations Batista, C. D.; Ortiz, G. Physical Review Letters, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevLett.86.1082	journal	February 2001
Embedding Dissipation and Decoherence in Unitary Evolution Schemes Rau, A. R. P.; Wendell, R. A. Physical Review Letters, Vol. 89, Issue 22 https://doi.org/10.1103/PhysRevLett.89.220405	journal	November 2002
Flow Equation Approach to Periodically Driven Quantum Systems Vogl, Michael; Laurell, Pontus; Barr, Aaron D. Physical Review X, Vol. 9, Issue 2 https://doi.org/10.1103/PhysRevX.9.021037	journal	May 2019
Boson realizations of Lie algebras with applications to nuclear physics Klein, Abraham; Marshalek, E. R. Reviews of Modern Physics, Vol. 63, Issue 2 https://doi.org/10.1103/RevModPhys.63.375	journal	April 1991
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
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
Fidelity Approach to Quantum Phase Transitions Gu, Shi-Jian International Journal of Modern Physics B, Vol. 24, Issue 23 https://doi.org/10.1142/S0217979210056335	journal	September 2010
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

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