Topological flat bands in frustrated kagome lattice CoSn.
Journal
Nature communications
ISSN: 2041-1723
Titre abrégé: Nat Commun
Pays: England
ID NLM: 101528555
Informations de publication
Date de publication:
10 Aug 2020
10 Aug 2020
Historique:
received:
16
05
2020
accepted:
30
06
2020
entrez:
12
8
2020
pubmed:
12
8
2020
medline:
12
8
2020
Statut:
epublish
Résumé
Electronic flat bands in momentum space, arising from strong localization of electrons in real space, are an ideal stage to realize strongly-correlated phenomena. Theoretically, the flat bands can naturally arise in certain geometrically frustrated lattices, often with nontrivial topology if combined with spin-orbit coupling. Here, we report the observation of topological flat bands in frustrated kagome metal CoSn, using angle-resolved photoemission spectroscopy and band structure calculations. Throughout the entire Brillouin zone, the bandwidth of the flat band is suppressed by an order of magnitude compared to the Dirac bands originating from the same orbitals. The frustration-driven nature of the flat band is directly confirmed by the chiral d-orbital texture of the corresponding real-space Wannier functions. Spin-orbit coupling opens a large gap of 80 meV at the quadratic touching point between the Dirac and flat bands, endowing a nonzero Z
Identifiants
pubmed: 32778669
doi: 10.1038/s41467-020-17465-1
pii: 10.1038/s41467-020-17465-1
pmc: PMC7417556
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
4004Subventions
Organisme : Gordon and Betty Moore Foundation (Gordon E. and Betty I. Moore Foundation)
ID : GBMF3848
Références
Maekawa, S. et al. Physics of Transition Metal Oxides (Springer Nature, Switzerland, 2004).
Si, Q. & Steglich, F. Heavy fermions and quantum phase transitions. Science329, 1161–1166 (2010).
pubmed: 20813946
doi: 10.1126/science.1191195
Tsui, D. C., Stormer, H. L. & Gossard, A. C. Two-dimensional magnetotransport in the extreme quantum limit. Phys. Rev. Lett.48, 1559–1562 (1982).
doi: 10.1103/PhysRevLett.48.1559
Cao, Y. et al. Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature556, 80–84 (2018).
pubmed: 29512654
doi: 10.1038/nature26154
Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature556, 43–50 (2018).
pubmed: 29512651
doi: 10.1038/nature26160
Sutherland, B. Localization of electronic wave functions due to local topology. Phys. Rev. B34, 5208–5211 (1986).
doi: 10.1103/PhysRevB.34.5208
Lieb, E. H. Two theorems on the Hubbard Model. Phys. Rev. B62, 1201–1204 (1989).
Leykam, D., Andreanov, A. & Flach, S. Artificial flat band systems: from lattice models to experiments. Adv. Phys. X3, 677–701 (2018).
Wu, C., Bergman, D., Balents, L. & Das Sarma, S. Flat bands and wigner crystallization in the honeycomb optical lattice. Phys. Rev. Lett.99, 070401 (2007).
pubmed: 17930875
doi: 10.1103/PhysRevLett.99.070401
Sun, K., Gu, Z., Katsura, H. & Das Sarma, S. Nearly flatbands with nontrivial topology. Phys. Rev. Lett.106, 236803 (2011).
pubmed: 21770533
doi: 10.1103/PhysRevLett.106.236803
Tang, E., Mei, J.-W. & Wen, X.-G. High-temperature fractional quantum Hall states. Phys. Rev. Lett.106, 236802 (2011).
pubmed: 21770532
doi: 10.1103/PhysRevLett.106.236802
Neupert, T., Santos, L., Chamon, C. & Mudry, C. Fractional quantum Hall states at zero magnetic field. Phys. Rev. Lett.106, 236804 (2011).
pubmed: 21770534
doi: 10.1103/PhysRevLett.106.236804
Guo, H. M. & Franz, M. Topological insulator on the kagome lattice. Phys. Rev. B80, 113102 (2009).
doi: 10.1103/PhysRevB.80.113102
Xu, G., Lian, B. & Zhang, S.-C. Intrinsic quantum anomalous Hall effect in the kagome lattice Cs
pubmed: 26565486
doi: 10.1103/PhysRevLett.115.186802
Bolens, A. & Nagaosa, N. Topological states on the breathing kagome lattice. Phys. Rev. B99, 165141 (2019).
doi: 10.1103/PhysRevB.99.165141
Mielke, A. Exact ground states for the Hubbard model on the Kagome lattice. J. Phys. A25, 4335–4345 (1992).
doi: 10.1088/0305-4470/25/16/011
Wen, J., Ruegg, A., Wang, C. C. & Fiete, G. A. Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices. Phys. Rev. B82, 075125 (2010).
doi: 10.1103/PhysRevB.82.075125
Kiesel, M. L., Platt, C. & Thomale, R. Unconventional fermi surface instabilities in the kagome Hubbard model. Phys. Rev. Lett.110, 126405 (2013).
doi: 10.1103/PhysRevLett.110.126405
pubmed: 25166827
Taie, S. et al. Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice. Sci. Adv.1, e1500854 (2015).
pubmed: 26665167
pmcid: 4673054
doi: 10.1126/sciadv.1500854
Drost, R., Ojanen, T., Harju, A. & Liljeroth, P. Topological states in engineered atomic lattices. Nat. Phys.13, 668–671 (2017).
doi: 10.1038/nphys4080
Lin, Z. et al. Flatbands and emergent ferromagnetic ordering in Fe
pubmed: 30230862
doi: 10.1103/PhysRevLett.121.096401
Yin, J.-X. et al. Negative flat band magnetism in a spin–orbit-coupled correlated kagome magnet. Nat. Phys.15, 443–448 (2019).
doi: 10.1038/s41567-019-0426-7
Jiao, L. et al. Signatures for half-metallicity and nontrivial surface states in the kagome lattice Weyl semimetal Co
doi: 10.1103/PhysRevB.99.245158
Liu, D. F. et al. Magnetic Weyl semimetal phase in a Kagome crystal. Science365, 1282–1285 (2019).
pubmed: 31604236
doi: 10.1126/science.aav2873
Ye, L. et al. Massive Dirac fermions in a ferromagnetic kagome metal. Nature555, 638–642 (2018).
doi: 10.1038/nature25987
pubmed: 29555992
Kang, M. et al. Dirac fermions and flat bands in ideal kagome metal FeSn. Nat. Mater.19, 163–169 (2020).
doi: 10.1038/s41563-019-0531-0
pubmed: 31819211
Nakatsuji, S., Kiyohara, N. & Higo, T. Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature. Nature527, 212–215 (2015).
pubmed: 26524519
doi: 10.1038/nature15723
Kuroda, K. et al. Evidence for magnetic Weyl fermions in a correlated metal. Nat. Mater.16, 1090–1095 (2017).
pubmed: 28967918
doi: 10.1038/nmat4987
Nayak, A. K. et al. Large anomalous Hall effect driven by non-vanishing Berry curvature in non-collinear antiferromagnet Mn3Ge. Sci. Adv.2, e1501870 (2016).
pubmed: 27152355
pmcid: 4846447
doi: 10.1126/sciadv.1501870
Allred, J. M., Jia, S., Bremholm, M., Chan, B. C. & Cava, R. J. Ordered CoSn-type ternary phases in Co 3Sn 3−xGe x. J. Alloy Compd.539, 137–143 (2012).
doi: 10.1016/j.jallcom.2012.04.045
Mazin, I. I. et al. Theoretical prediction of a strongly correlated Dirac metal. Nat. Commun.5, 4261 (2014).
doi: 10.1038/ncomms5261
pubmed: 24980208
Liu, Y., Bian, G., Miller, T. & Chiang, T. C. Visualizing electronic chirality and Berry phases in graphene systems using photoemission with circularly polarized light. Phys. Rev. Lett.107, 166803 (2011).
pubmed: 22107416
doi: 10.1103/PhysRevLett.107.166803
Schafer, J., Hoinkis, M., Rotenberg, E., Blaha, P. & Claessen, R. Fermi surface and electron correlation effects of ferromagnetic iron. Phys. Rev. B72, 155115 (2005).
doi: 10.1103/PhysRevB.72.155115
Eberhardt, W. & Plummer, E. W. Angle-resolved photoemission determination of the band structure and multielectron excitations in Ni. Phys. Rev. B21, 3245–3255 (1980).
doi: 10.1103/PhysRevB.21.3245
Courths, R., Cord, B., Wern, H. & Hufner, S. Angle-resolved photoemission and band structure of copper. Phys. Scr.1983, 144–147 (1983).
doi: 10.1088/0031-8949/1983/T4/031
Kamakura, N. et al. Bulk band structure and Fermi surface of nickel: a soft x-ray angle-resolved photoemission study. Phys. Rev. B74, 045127 (2006).
doi: 10.1103/PhysRevB.74.045127
Damascelli, A., Hussain, Z. & Shen, Z. Angle-resolved photoemission studies of the cuprate superconductors. Rev. Mod. Phys.75, 473–541 (2003).
doi: 10.1103/RevModPhys.75.473
Cococcioni, M. & de Gironcoli, S. Linear reponse approach to the calculation of the effective interaction parameters in the LDA + U method. Phys. Rev. B71, 035105 (2005).
doi: 10.1103/PhysRevB.71.035105
Sharpe, A. L. et al. Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene. Science365, 605–608 (2019).
pubmed: 31346139
doi: 10.1126/science.aaw3780
Chen, Y. et al. Ferromagnetism and Wigner crystallization in kagome graphene and related structures. Phys. Rev. B98, 035135 (2018).
doi: 10.1103/PhysRevB.98.035135
Iglovikov, V. I. et al. Superconducting transitions in flat-band systems. Phys. Rev. B90, 094506 (2014).
doi: 10.1103/PhysRevB.90.094506
Huhtinen, K. et al. Spin-imbalanced pairing and Fermi surface deformation in flat bands. Phys. Rev. B97, 214503 (2018).
doi: 10.1103/PhysRevB.97.214503
Han, W. H. et al. A metal–insulator transition via Wigner crystallization in boron triangular kagome lattice. Preprint at https://arxiv.org/abs/1902.08390 (2019).
Sahebsara, P. & Senechal, D. Hubbard model on the triangular lattice: spiral order and spin liquid. Phys. Rev. Lett.100, 136402 (2008).
pubmed: 18517975
doi: 10.1103/PhysRevLett.100.136402
Szasz, A., Motruk, J., Zaletel, M. P. & Moore, J. E. Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study. Phys. Rev. X10, 021042 (2020).
Venderley, J. et al. Density matrix renormalization group study of superconductivity in the triangular lattice Hubbard model. Phys. Rev. B100, 060506(R) (2019).
doi: 10.1103/PhysRevB.100.060506
Fu, L. & Kane, C. L. Topological insulators with inversion symmetry. Phys. Rev. B76, 045302 (2007).
doi: 10.1103/PhysRevB.76.045302
Soluyanov, A. A. & Vanderbilt, D. Wannier representation of Z2 topological insulators. Phys. Rev. B83, 035108 (2011).
doi: 10.1103/PhysRevB.83.035108
Meier, W. R. et al. Reorientation of antiferromagnetism in cobalt doped FeSn. Phys. Rev. B100, 184421 (2019).
doi: 10.1103/PhysRevB.100.184421
Kresse, G. & Furthmuller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B54, 11169–11186 (1996).
doi: 10.1103/PhysRevB.54.11169
Kresse, G. & Furthmller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci.6, 15–50 (1996).
doi: 10.1016/0927-0256(96)00008-0
Blochl, P. E. Projector augmented-wave method. Phys. Rev. B50, 17953–17979 (1994).
doi: 10.1103/PhysRevB.50.17953
Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett.77, 3865–3868 (1996).
doi: 10.1103/PhysRevLett.77.3865
pubmed: 10062328
Mostofi, A. A. et al. An updated version of wannier90: a tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun.185, 2309–2310 (2014).
doi: 10.1016/j.cpc.2014.05.003
Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I. & Vanderbilt, D. Maximally localized wannier functions: theory and applications. Rev. Mod. Phys.84, 1419–1475 (2012).
doi: 10.1103/RevModPhys.84.1419
Guo, G. Y., Murakami, S., Chen, T.-W. & Nagaosa., N. Intrinsic spin hall effect in platinum: first-principles calculations. Phys. Rev. Lett.100, 096401 (2008).
pubmed: 18352731
doi: 10.1103/PhysRevLett.100.096401
Guo, G. Y., Yao, Y. & Niu, Q. Ab initio calculation of the intrinsic spin hall effect in semiconductors. Phys. Rev. Lett.94, 226601 (2005).
pubmed: 16090421
doi: 10.1103/PhysRevLett.94.226601