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We study Chern insulators from the point of view of K\"ahler geometry, i.e.
S.-S. Chern, Complex manifolds without potential theory , 15 (Springer, 1967)
1967
Earlier work this paper cites.
S. M. Girvin, A. H. MacDonald, and P. M. Platzman, Magneto-roton theory of collective excitations in the fractional quantum Hall effect, Phys. Rev. B 33
1986
Earlier work this paper cites.
S. Kobayashi, Differential geometry of complex vector bundles (Princeton University Press, 1987)
1987
Earlier work this paper cites.
N. Marzari and D. Vanderbilt, Maximally localized generalized Wannier functions for composite energy bands, Physical review B 56
1997
Earlier work this paper cites.
R. Resta, Quantum-mechanical position operator in extended systems, Physical Review Letters 80
1998
Earlier work this paper cites.
R. Resta and S. Sorella, Electron localization in the insulating state, Physical Review Letters 82
1999
Earlier work this paper cites.
I. Souza, T. Wilkens, and R. M. Martin, Polarization and localization in insulators: Generating function approach, Physical Review B 62
2000
Earlier work this paper cites.
A. C. da Silva, Lectures on symplectic geometry , Vol. 3575 (Springer, 2001)
2001
Earlier work this paper cites.
A. Hatcher, Algebraic topology (Cambridge Univ. Press, Cambridge, 2002)
2002
Earlier work this paper cites.
M. Nakahara, Geometry, Topology and Physics, 2nd Edition (CRC Press, 2003)
2003
Earlier work this paper cites.
D. Huybrechts, Complex geometry: an introduction (Springer Science & Business Media, 2005)
2005
Earlier work this paper cites.
E. Park, Complex topological K-theory , Vol. 111 (Cambridge University Press, 2008)
2008
Earlier work this paper cites.
A. Kitaev, Periodic table for topological insulators and superconductors, in AIP Conference Proceedings , Vol. 1134 (AIP, 2009) pp. 22–30
2009
Earlier work this paper cites.
V. Bangert, M. G. Katz, S. Shnider, and S. Weinberger, E 7 E_{7} , Wirtinger inequalities, Cayley 4 4 -form, and homotopy, Duke Mathematical Journal 146
2009
Cited alongside, same era.
S. Matsuura and S. Ryu, Momentum space metric, nonlocal operator, and topological insulators, Physical Review B 82
2010
Cited alongside, same era.
R. Resta, The insulating state of matter: a geometrical theory, The European Physical Journal B 79
2011
Cited alongside, same era.
M. Kolodrubetz, V. Gritsev, and A. Polkovnikov, Classifying and measuring geometry of a quantum ground state manifold, Phys. Rev. B 88
2013
Cited alongside, same era.
T. Neupert, C. Chamon, and C. Mudry, Measuring the quantum geometry of Bloch bands with current noise, Phys. Rev. B 87
2013
Cited alongside, same era.
C. H. Lee, M. Claassen, and R. Thomale, Band structure engineering of ideal fractional Chern insulators, Phys. Rev. B 96
2017
Later among the works it cites.
D. McDuff and D. Salamon, Introduction to symplectic topology (Oxford University Press, 2017)
2017
Later among the works it cites.
R. Resta, Theory of the insulating state, La Rivista del Nuovo Cimento 41
2018
Later among the works it cites.
T. Ozawa, Steady-state Hall response and quantum geometry of driven-dissipative lattices, Phys. Rev. B 97
2018
Later among the works it cites.
T. Ozawa and N. Goldman, Extracting the quantum metric tensor through periodic driving, Phys. Rev. B 97
2018
Later among the works it cites.
T. Ozawa and N. Goldman, Probing localization and quantum geometry by spectroscopy, Phys. Rev. Research 1
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C. H. Lee, R. Thomale, and X.-L. Qi, Pseudopotential formalism for fractional Chern insulators, Phys. Rev. B 88
2013
Cited alongside, same era.
Y.-Q. Ma, S.-J. Gu, S. Chen, H. Fan, and W.-M. Liu, The Euler number of Bloch states manifold and the quantum phases in gapped fermionic systems, EPL (Europhysics Letters) 103
2013
Cited alongside, same era.
R. Roy, Band geometry of fractional topological insulators, Phys. Rev. B 90
2014
Cited alongside, same era.
T. S. Jackson, G. Möller, and R. Roy, Geometric stability of topological lattice phases, Nature Communications 6
2015
Cited alongside, same era.
C. H. Lee, Z. Papić, and R. Thomale, Geometric construction of quantum Hall clustering hamiltonians, Phys. Rev. X 5
2015
Cited alongside, same era.
M. Claassen, C. H. Lee, R. Thomale, X.-L. Qi, and T. P. Devereaux, Position-momentum duality and fractional quantum hall effect in Chern insulators, Phys. Rev. Lett. 114
2015
Cited alongside, same era.
E. Witten, Fermion path integrals and topological phases, Reviews of Modern Physics 88
2016
Cited alongside, same era.
2019
Later among the works it cites.
L. Asteria, D. T. Tran, T. Ozawa, M. Tarnowski, B. S. Rem, N. Fläschner, K. Sengstock, N. Goldman, and C. Weitenberg, Measuring quantized circular dichroism in ultracold topological matter, Nature physics 15
2019
Later among the works it cites.
K. Kudo, H. Watanabe, T. Kariyado, and Y. Hatsugai, Many-body Chern number without integration, Phys. Rev. Lett. 122
2019
Later among the works it cites.
R. L. Klees, G. Rastelli, J. C. Cuevas, and W. Belzig, Microwave spectroscopy reveals the quantum geometric tensor of topological Josephson matter, Phys. Rev. Lett. 124
2020
Later among the works it cites.
A. Gianfrate, O. Bleu, L. Dominici, V. Ardizzone, M. De Giorgi, D. Ballarini, G. Lerario, K. West, L. Pfeiffer, D. Solnyshkov, et al. , Measurement of the quantum geometric tensor and of the anomalous Hall drift, Nature 578
2020
Later among the works it cites.
2020
Later among the works it cites.
T. Ozawa and B. Mera, Relations between topology and the quantum metric for Chern insulators, Phys. Rev. B 104
2021
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