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A family of finite-dimensional quantum systems with a non-degenerate ground state gives rise to a closed 2-form on the parameter space: the curvature of the Berry connection.
1905
Earlier work this paper cites.
1905
Earlier work this paper cites.
1905
Earlier work this paper cites.
M. F. Atiyah and I. M. Singer, “The index of elliptic operators on compact manifolds,” Bull. Am. Math. Soc. 69
1969
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D. J. Thouless, “Quantization of particle transport,” Phys. Rev. B 27
1983
Cited alongside, same era.
M. V. Berry, “Quantal Phase Factors Accompanying Adiabatic Changes,” Proceedings of the Royal Society A. 392
1984
Cited alongside, same era.
J. Cheeger, J. Simons , “Differential characters and geometric invariants.” In: Geometry and Topology. Lecture Notes in Mathematics, vol 1167, Springer (1985)
1985
Cited alongside, same era.
J. Roe, “Lectures on coarse geometry,” American Mathematical Society, 2003
2003
Cited alongside, same era.
A. Kitaev, “Differential forms on the space of statistical mechanical lattice models,” talk at Between Topology and Quantum Field Theory: a conference in celebration of Dan Freed’s 60th birthday,
Cited in the paper.
D. S. Freed, “Pions and Generalized Cohomology,” J. Diff. Geom. 80
2008
Later among the works it cites.
X.-L. Qi, T. Hughes, and S.-C. Zhang, “Topological field theory of time-reversal invariant insulators,” Phys. Rev. B 78
2008
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H. Watanabe, “Insensitivity of bulk properties to the twisted boundary condition,” Phys. Rev. B 98
2018
Later among the works it cites.
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