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Dirac and Weyl semimetals both exhibit arc-like surface states.
1905
Earlier work this paper cites.
W. Shockley, On the Surface States Associated with a Periodic Potential, Phys. Rev. 56
1939
Earlier work this paper cites.
R. Shannon, Synthesis and properties of two new members of the rutile family RhO 2 and PtO 2 , Solid State Communications 6
1968
Earlier work this paper cites.
A. P. Cracknell, Group theory and magnetic phenomena in solids, Reports on Progress in Physics 32
1969
Earlier work this paper cites.
A. P. Cracknell, The application of Landau’s theory of continuous phase transitions to magnetic phase transitions, Journal of Physics C: Solid State Physics 4
1971
Earlier work this paper cites.
C. Bradley and A. Cracknell, The Mathematical Theory of Symmetry in Solids: Representation Theory for Point Groups and Space Groups (Clarendon Press, 1972)
1972
Earlier work this paper cites.
J. Muggli, Cubic harmonics as linear combinations of spherical harmonics, Zeitschrift für angewandte Mathematik und Physik ZAMP 23
1972
Earlier work this paper cites.
J. Jackson, Classical electrodynamics (Wiley, 1975)
1975
Earlier work this paper cites.
R. Jackiw and C. Rebbi, Solitons with fermion number 1 / 2 1/2 , Phys. Rev. D 13
1976
Earlier work this paper cites.
C. K. Chiang, C. R. Fincher, Y. W. Park, A. J. Heeger, H. Shirakawa, E. J. Louis, S. C. Gau, and A. G. MacDiarmid, Electrical Conductivity in Doped Polyacetylene, Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
W. P. Su, J. R. Schrieffer, and A. J. Heeger, Solitons in Polyacetylene, Phys. Rev. Lett. 42
1979
Earlier work this paper cites.
R. Vogel and H.-U. Schuster, Neue elektrovalente ternäre Verbindungen des Kaliums mit Magnesium und Elementen der 5. Hauptgruppe / New Ternary Compounds of Potassium with Magnesium and Elements of the 5. Main Group, Zeitschrift für Naturforschung B 34
1979
Earlier work this paper cites.
E. Arushanov, Crystal growth and characterization of II 3 V 2 compounds, Progress in Crystal Growth and Characterization 3
1980
Earlier work this paper cites.
J. Zak, Band representations and symmetry types of bands in solids, Phys. Rev. B 23
1981
Earlier work this paper cites.
J. Goldstone and F. Wilczek, Fractional Quantum Numbers on Solitons, Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
M. J. Rice and E. J. Mele, Elementary Excitations of a Linearly Conjugated Diatomic Polymer, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
K. Schwartz, J. Gillson, and R. Shannon, Crystal growth of CdPt 3 O 6 , MnPt 3 O 6 , CoPt 3 O 6 and β \beta -PtO2, Journal of Crystal Growth 60
1982
Earlier work this paper cites.
J. Zak, Band representations of space groups, Phys. Rev. B 26
1982
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Quantized hall conductance in a two-dimensional periodic potential, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
G. Bergerhoff, R. Hundt, R. Sievers, and I. D. Brown, The inorganic crystal structure data base, Journal of Chemical Information and Computer Sciences 23
1983
Earlier work this paper cites.
D. J. Thouless, Wannier functions for magnetic sub-bands, Journal of Physics C: Solid State Physics 17
1984
Earlier work this paper cites.
P. Herrero Fernández and B. Chamberland, A new high pressure form of PtO 2 , Journal of The Less Common Metals 99
1984
Earlier work this paper cites.
A. Niemi and G. Semenoff, Fermion number fractionization in quantum field theory, Physics Reports 135
1986
Earlier work this paper cites.
F. Wilczek, Two applications of axion electrodynamics, Phys. Rev. Lett. 58
1987
Earlier work this paper cites.
H. Bacry, L. Michel, and J. Zak, Symmetry and Analyticity of Energy Bands in Solids, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
J. Zak, Berry’s phase for energy bands in solids, Phys. Rev. Lett. 62
1989
Earlier work this paper cites.
R. D. King-Smith and D. Vanderbilt, Theory of polarization of crystalline solids, Phys. Rev. B 47
1993
Earlier work this paper cites.
G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Computational Materials Science 6
1996
Earlier work this paper cites.
G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54
1996
Earlier work this paper cites.
M. Fujita, K. Wakabayashi, K. Nakada, and K. Kusakabe, Peculiar Localized State at Zigzag Graphite Edge, Journal of the Physical Society of Japan 65
1996
Earlier work this paper cites.
K. Nakada, M. Fujita, G. Dresselhaus, and M. S. Dresselhaus, Edge state in graphene ribbons: Nanometer size effect and edge shape dependence, Phys. Rev. B 54
1996
Earlier work this paper cites.
D. McQuarrie and J. Simon, Physical Chemistry: A Molecular Approach (University Science Books, 1997)
1997
Earlier work this paper cites.
M. A. Blanco, M. Flórez, and M. Bermejo, Evaluation of the rotation matrices in the basis of real spherical harmonics, Journal of Molecular Structure: THEOCHEM 419
1997
Earlier work this paper cites.
G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59
1999
Earlier work this paper cites.
V. Kopsky and D. Litvin, International Tables for Crystallography,Volume E: Subperiodic Groups , International Tables for Crystallography (Springer Netherlands, 2002)
2002
Earlier work this paper cites.
S. Ivantchev, E. Kroumova, M. I. Aroyo, J. M. Perez-Mato, J. M. Igartua, G. Madariaga, and H. Wondratschek, SUPERGROUPS
2002
Earlier work this paper cites.
C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
B. A. Bernevig, T. L. Hughes, and S.-C. Zhang, Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells, Science 314
2006
Earlier work this paper cites.
L. Fu and C. L. Kane, Time reversal polarization and a Z 2 {Z}_{2} adiabatic spin pump, Phys. Rev. B 74
2006
Earlier work this paper cites.
L. Fu and C. L. Kane, Topological insulators with inversion symmetry, Phys. Rev. B 76
2007
Earlier work this paper cites.
J. C. Y. Teo, L. Fu, and C. L. Kane, Surface states and topological invariants in three-dimensional topological insulators: Application to Bi 1 − x Sb x {\text{Bi}}_{1-x}{\text{Sb}}_{x} , Phys. Rev. B 78
2008
Earlier work this paper cites.
X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Topological field theory of time-reversal invariant insulators, Phys. Rev. B 78
2008
Earlier work this paper cites.
A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81
2009
Earlier work this paper cites.
A. Kitaev, Periodic table for topological insulators and superconductors, AIP Conference Proceedings 1134
2009
Earlier work this paper cites.
W. Setyawan and S. Curtarolo, High-throughput electronic band structure calculations: Challenges and tools, Computational Materials Science 49
2010
Earlier work this paper cites.
P. M. Ostrovsky, I. V. Gornyi, and A. D. Mirlin, Interaction-Induced Criticality in ℤ 2 {\mathbb{Z}}_{2} Topological Insulators, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
G. Rosenberg, H.-M. Guo, and M. Franz, Wormhole effect in a strong topological insulator, Phys. Rev. B 82
2010
Earlier work this paper cites.
X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates, Phys. Rev. B 83
2011
Earlier work this paper cites.
L. Fidkowski, T. S. Jackson, and I. Klich, Model Characterization of Gapless Edge Modes of Topological Insulators Using Intermediate Brillouin-Zone Functions, Phys. Rev. Lett. 107
2011
Earlier work this paper cites.
L. Fu, Topological Crystalline Insulators, Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
R. Yu, X. L. Qi, A. Bernevig, Z. Fang, and X. Dai, Equivalent expression of ℤ 2 {\mathbb{Z}}_{2} topological invariant for band insulators using the non-Abelian Berry connection, Phys. Rev. B 84
2011
Earlier work this paper cites.
A. A. Soluyanov and D. Vanderbilt, Wannier representation of ℤ 2 {\mathbb{Z}}_{2} topological insulators, Phys. Rev. B 83
2011
Earlier work this paper cites.
S. Altmann and P. Herzig, Point-Group Theory Tables , 2nd ed. (University of Vienna, 2011)
2011
Earlier work this paper cites.
T. L. Hughes, E. Prodan, and B. A. Bernevig, Inversion-symmetric topological insulators, Phys. Rev. B 83
2011
Cited alongside, same era.
A. A. Soluyanov and D. Vanderbilt, Smooth gauge for topological insulators, Phys. Rev. B 85
2012
Cited alongside, same era.
N. Marzari, A. A. Mostofi, J. R. Yates, I. Souza, and D. Vanderbilt, Maximally localized Wannier functions: Theory and applications, Rev. Mod. Phys. 84
2012
Cited alongside, same era.
C. Fang, M. J. Gilbert, and B. A. Bernevig, Bulk topological invariants in noninteracting point group symmetric insulators, Phys. Rev. B 86
2012
Cited alongside, same era.
Z. Wang, Y. Sun, X.-Q. Chen, C. Franchini, G. Xu, H. Weng, X. Dai, and Z. Fang, Dirac semimetal and topological phase transitions in A 3 {A}_{3} Bi ( A = Na A=\text{Na} , K, Rb), Phys. Rev. B 85
2012
Cited alongside, same era.
L. Elcoro, B. Bradlyn, Z. Wang, M. G. Vergniory, J. Cano, C. Felser, B. A. Bernevig, D. Orobengoa, G. de la Flor, and M. I. Aroyo, Double crystallographic groups and their representations on the Bilbao Crystallographic Server, Journal of Applied Crystallography 50
2017
Later among the works it cites.
M. G. Vergniory, L. Elcoro, Z. Wang, J. Cano, C. Felser, M. I. Aroyo, B. A. Bernevig, and B. Bradlyn, Graph theory data for topological quantum chemistry, Phys. Rev. E 96
2017
Later among the works it cites.
S.-J. Huang, H. Song, Y.-P. Huang, and M. Hermele, Building crystalline topological phases from lower-dimensional states, Phys. Rev. B 96
2017
Later among the works it cites.
Y. Peng, Y. Bao, and F. von Oppen, Boundary green functions of topological insulators and superconductors, Phys. Rev. B 95
2017
Later among the works it cites.
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T. H. Hsieh, H. Lin, J. Liu, W. Duan, A. Bansil, and L. Fu, Topological crystalline insulators in the SnTe material class, Nature Communications 3
2012
Cited alongside, same era.
S. M. Young, S. Zaheer, J. C. Y. Teo, C. L. Kane, E. J. Mele, and A. M. Rappe, Dirac Semimetal in Three Dimensions, Phys. Rev. Lett. 108
2012
Cited alongside, same era.
Z. Wang, H. Weng, Q. Wu, X. Dai, and Z. Fang, Three-dimensional Dirac semimetal and quantum transport in Cd 3
2013
Cited alongside, same era.
D. B. Litvin, Magnetic Group Tables (International Union of Crystallography, 2013)
2013
Cited alongside, same era.
B. Bernevig and T. Hughes, Topological Insulators and Topological Superconductors (Princeton University Press, 2013)
2013
Cited alongside, same era.
C. Kane, Chapter 1 - Topological Band Theory and the ℤ 2 \mathbb{Z}_{2} Invariant, in Topological Insulators , Contemporary Concepts of Condensed Matter Science, Vol. 6, edited by M. Franz and L. Molenkamp (Elsevier, 2013) pp. 3 – 34
2013
Cited alongside, same era.
B.-J. Yang and N. Nagaosa, Classification of stable three-dimensional Dirac semimetals with nontrivial topology, Nature Communications 5
2014
Cited alongside, same era.
2017
Later among the works it cites.
G. Chang, B. J. Wieder, F. Schindler, D. S. Sanchez, I. Belopolski, S.-M. Huang, B. Singh, D. Wu, T.-R. Chang, T. Neupert, S.-Y. Xu, H. Lin, and M. Z. Hasan, Topological quantum properties of chiral crystals, Nature Materials 17
2018
Later among the works it cites.
B. J. Wieder, B. Bradlyn, Z. Wang, J. Cano, Y. Kim, H.-S. D. Kim, A. M. Rappe, C. L. Kane, and B. A. Bernevig, Wallpaper fermions and the nonsymmorphic Dirac insulator, Science 361
2018
Later among the works it cites.
E. Khalaf, H. C. Po, A. Vishwanath, and H. Watanabe, Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators, Phys. Rev. X 8
2018
Later among the works it cites.
H. C. Po, H. Watanabe, and A. Vishwanath, Fragile Topology and Wannier Obstructions, Phys. Rev. Lett. 121
2018
Later among the works it cites.
2018
Later among the works it cites.
D. Takane, K. Nakayama, S. Souma, T. Wada, Y. Okamoto, K. Takenaka, Y. Yamakawa, A. Yamakage, T. Mitsuhashi, K. Horiba, H. Kumigashira, T. Takahashi, and T. Sato, Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs, npj Quantum Materials 3
2018
Later among the works it cites.
Z. Song, T. Zhang, Z. Fang, and C. Fang, Quantitative mappings between symmetry and topology in solids, Nature Communications 9
2018
Later among the works it cites.
M. Serra-Garcia, V. Peri, R. Süsstrunk, O. R. Bilal, T. Larsen, L. G. Villanueva, and S. D. Huber, Observation of a phononic quadrupole topological insulator, Nature 555
2018
Later among the works it cites.
M. Lin and T. L. Hughes, Topological quadrupolar semimetals, Phys. Rev. B 98
2018
Later among the works it cites.
L. M. Schoop, A. Topp, J. Lippmann, F. Orlandi, L. Müchler, M. G. Vergniory, Y. Sun, A. W. Rost, V. Duppel, M. Krivenkov, S. Sheoran, P. Manuel, A. Varykhalov, B. Yan, R. K. Kremer, C. R. Ast, and B. V. Lotsch, Tunable Weyl and Dirac states in the nonsymmorphic compound CeSbTe, Science Advances 4
2018
Later among the works it cites.
L. Zou, H. C. Po, A. Vishwanath, and T. Senthil, Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions, Phys. Rev. B 98
2018
Later among the works it cites.
J. Ahn, D. Kim, Y. Kim, and B.-J. Yang, Band Topology and Linking Structure of Nodal Line Semimetals with Z 2 {Z}_{2} Monopole Charges, Phys. Rev. Lett. 121
2018
Later among the works it cites.
S. Franca, J. van den Brink, and I. C. Fulga, An anomalous higher-order topological insulator, Phys. Rev. B 98
2018
Later among the works it cites.
F. K. Kunst, G. van Miert, and E. J. Bergholtz, Lattice models with exactly solvable topological hinge and corner states, Phys. Rev. B 97
2018
Later among the works it cites.
J. Noh, W. A. Benalcazar, S. Huang, M. J. Collins, K. P. Chen, T. L. Hughes, and M. C. Rechtsman, Topological protection of photonic mid-gap defect modes, Nature Photonics 12
2018
Later among the works it cites.
M. Ezawa, Higher-Order Topological Insulators and Semimetals on the Breathing Kagome and Pyrochlore Lattices, Phys. Rev. Lett. 120
2018
Later among the works it cites.
2018
Later among the works it cites.
M. Kargarian, Y.-M. Lu, and M. Randeria, Deformation and stability of surface states in Dirac semimetals, Phys. Rev. B 97
2018
Later among the works it cites.
C. Le, X. Wu, S. Qin, Y. Li, R. Thomale, F.-C. Zhang, and J. Hu, Dirac semimetal in β \beta -CuI without surface Fermi arcs, Proceedings of the National Academy of Sciences 115
2018
Later among the works it cites.
G. Bednik, Surface states in Dirac semimetals and topological crystalline insulators, Phys. Rev. B 98
2018
Later among the works it cites.
N. P. Armitage, E. J. Mele, and A. Vishwanath, Weyl and Dirac semimetals in three-dimensional solids, Rev. Mod. Phys. 90
2018
Later among the works it cites.
J.-Z. Ma, J.-B. He, Y.-F. Xu, B. Q. Lv, D. Chen, W.-L. Zhu, S. Zhang, L.-Y. Kong, X. Gao, L.-Y. Rong, Y.-B. Huang, P. Richard, C.-Y. Xi, E. S. Choi, Y. Shao, Y.-L. Wang, H.-J. Gao, X. Dai, C. Fang, H.-M. Weng, G.-F. Chen, T. Qian, and H. Ding, Three-component fermions with surface Fermi arcs in tungsten carbide, Nature Physics 14
2018
Later among the works it cites.
N. B. M. Schröter, D. Pei, M. G. Vergniory, Y. Sun, K. Manna, F. de Juan, J. A. Krieger, V. Süss, M. Schmidt, P. Dudin, B. Bradlyn, T. K. Kim, T. Schmitt, C. Cacho, C. Felser, V. N. Strocov, and Y. Chen, Chiral topological semimetal with multifold band crossings and long Fermi arcs, Nature Physics 15
2019
Closest in time.
D. Takane, Z. Wang, S. Souma, K. Nakayama, T. Nakamura, H. Oinuma, Y. Nakata, H. Iwasawa, C. Cacho, T. Kim, K. Horiba, H. Kumigashira, T. Takahashi, Y. Ando, and T. Sato, Observation of Chiral Fermions with a Large Topological Charge and Associated Fermi-Arc Surface States in CoSi, Phys. Rev. Lett. 122
2019
Closest in time.
D. S. Sanchez, I. Belopolski, T. A. Cochran, X. Xu, J.-X. Yin, G. Chang, W. Xie, K. Manna, V. Süß, C.-Y. Huang, N. Alidoust, D. Multer, S. S. Zhang, N. Shumiya, X. Wang, G.-Q. Wang, T.-R. Chang, C. Felser, S.-Y. Xu, S. Jia, H. Lin, and M. Z. Hasan, Topological chiral crystals with helicoid-arc quantum states, Nature 567
2019
Closest in time.
Z. Rao, H. Li, T. Zhang, S. Tian, C. Li, B. Fu, C. Tang, L. Wang, Z. Li, W. Fan, J. Li, Y. Huang, Z. Liu, Y. Long, C. Fang, H. Weng, Y. Shi, H. Lei, Y. Sun, T. Qian, and H. Ding, Observation of unconventional chiral fermions with long Fermi arcs in CoSi, Nature 567
2019
Closest in time.
C. Fang and L. Fu, New classes of topological crystalline insulators having surface rotation anomaly, Science Advances 5
2019
Closest in time.
Z. Wang, B. J. Wieder, J. Li, B. Yan, and B. A. Bernevig, Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides X Te 2 X{\mathrm{Te}}_{2} ( X = Mo , W X=\mathrm{Mo},\mathrm{W} ), Phys. Rev. Lett. 123
2019
Closest in time.
B. Bradlyn, Z. Wang, J. Cano, and B. A. Bernevig, Disconnected elementary band representations, fragile topology, and Wilson loops as topological indices: An example on the triangular lattice, Phys. Rev. B 99
2019
Closest in time.
D. Călugăru, V. Juričić, and B. Roy, Higher-order topological phases: A general principle of construction, Phys. Rev. B 99
2019
Closest in time.
R. Kim, B.-J. Yang, and C. H. Kim, Crystalline topological Dirac semimetal phase in rutile structure β ′ \beta^{\prime} -PtO 2 , Phys. Rev. B 99
2019
Closest in time.
D. A. Kealhofer, H. Kim, T. Schumann, M. Goyal, L. Galletti, and S. Stemmer, Basal-plane growth of cadmium arsenide by molecular beam epitaxy, Phys. Rev. Materials 3
2019
Closest in time.
S. A. A. Ghorashi, X. Hu, T. L. Hughes, and E. Rossi, Second-order Dirac superconductors and magnetic field induced Majorana hinge modes, Phys. Rev. B 100
2019
Closest in time.
A. Bouhon, A. M. Black-Schaffer, and R.-J. Slager, Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time-reversal symmetry, Phys. Rev. B 100
2019
Closest in time.
Z. Song, Z. Wang, W. Shi, G. Li, C. Fang, and B. A. Bernevig, All Magic Angles in Twisted Bilayer Graphene are Topological, Phys. Rev. Lett. 123
2019
Closest in time.
H. C. Po, L. Zou, T. Senthil, and A. Vishwanath, Faithful tight-binding models and fragile topology of magic-angle bilayer graphene, Phys. Rev. B 99
2019
Closest in time.
S. Liu, A. Vishwanath, and E. Khalaf, Shift Insulators: Rotation-Protected Two-Dimensional Topological Crystalline Insulators, Phys. Rev. X 9
2019
Closest in time.
D. V. Else, H. C. Po, and H. Watanabe, Fragile topological phases in interacting systems, Phys. Rev. B 99
2019
Closest in time.
J. Ahn, S. Park, and B.-J. Yang, Failure of Nielsen-Ninomiya Theorem and Fragile Topology in Two-Dimensional Systems with Space-Time Inversion Symmetry: Application to Twisted Bilayer Graphene at Magic Angle, Phys. Rev. X 9
2019
Closest in time.
Y. Hwang, J. Ahn, and B.-J. Yang, Fragile topology protected by inversion symmetry: Diagnosis, bulk-boundary correspondence, and Wilson loop, Phys. Rev. B 100
2019
Closest in time.
S. H. Kooi, G. van Miert, and C. Ortix, Classification of crystalline insulators without symmetry indicators: Atomic and fragile topological phases in twofold rotation symmetric systems, Phys. Rev. B 100
2019
Closest in time.
W. A. Benalcazar, T. Li, and T. L. Hughes, Quantization of fractional corner charge in C n {C}_{n} -symmetric higher-order topological crystalline insulators, Phys. Rev. B 99
2019
Closest in time.
F. Schindler, M. Brzezińska, W. A. Benalcazar, M. Iraola, A. Bouhon, S. S. Tsirkin, M. G. Vergniory, and T. Neupert, Fractional corner charges in spin-orbit coupled crystals, Phys. Rev. Research 1
2019
Closest in time.
M. J. Park, Y. Kim, G. Y. Cho, and S. Lee, Higher-Order Topological Insulator in Twisted Bilayer Graphene, Phys. Rev. Lett. 123
2019
Closest in time.
Y. Wu, N. H. Jo, L.-L. Wang, C. A. Schmidt, K. M. Neilson, B. Schrunk, P. Swatek, A. Eaton, S. L. Bud’ko, P. C. Canfield, and A. Kaminski, Fragility of Fermi arcs in Dirac semimetals, Phys. Rev. B 99
2019
Closest in time.
T. Fukui, Dirac fermion model associated with a second-order topological insulator, Phys. Rev. B 99
2019
Closest in time.
M. G. Vergniory, L. Elcoro, C. Felser, N. Regnault, B. A. Bernevig, and Z. Wang, A complete catalogue of high-quality topological materials, Nature 566
2019
Closest in time.