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We derive the charge density up to second order in spatial gradient in inhomogeneous crystals using the semiclassical coarse graining procedure based on the wave packet method.
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2005
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M. Kenzelmann, A. B. Harris, S. Jonas, C. Broholm, J. Schefer, S. B. Kim, C. L. Zhang, S.-W. Cheong, O. P. Vajk, and J. W. Lynn, “Magnetic inversion symmetry breaking and ferroelectricity in TbMnO 3 \text{TbMnO}_{3} ,” Phys. Rev. Lett. 95
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J. Hong and D. Vanderbilt, “First-principles theory of frozen-ion flexoelectricity,” Phys. Rev. B 84
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S. Coh, D. Vanderbilt, A. Malashevich, and I. Souza, “Chern-Simons orbital magnetoelectric coupling in generic insulators,” Phys. Rev. B 83
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2011
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2012
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2007
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A. Malashevich and D. Vanderbilt, “First principles study of improper ferroelectricity in TbMnO 3 \text{TbMnO}_{3} ,” Phys. Rev. Lett. 101
2008
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C. Chamon, C.-Y. Hou, R. Jackiw, C. Mudry, S.-Y. Pi, and A. P. Schnyder, “Irrational versus rational charge and statistics in two-dimensional quantum systems,” Phys. Rev. Lett. 100
2008
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2008
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2009
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A. Malashevich and D. Vanderbilt, “Dependence of electronic polarization on octahedral rotations in TbMnO3 from first principles,” Phys. Rev. B 80
2009
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D. Xiao, J. Shi, D. P. Clougherty, and Q. Niu, “Polarization and adiabatic pumping in inhomogeneous crystals,” Phys. Rev. Lett. 102
2009
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2013
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2013
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H. J. Xiang, P. S. Wang, M.-H. Whangbo, and X. G. Gong, “Unified model of ferroelectricity induced by spin order,” Phys. Rev. B 88
2013
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2013
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2014
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2015
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2017
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Y. Gao, S. A. Yang, and Q. Niu, “Intrinsic relative magnetoconductivity of nonmagnetic metals,” Phys. Rev. B 95
2017
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Y. Gao and D. Xiao, “Orbital magnetic quadrupole moment and nonlinear anomalous thermoelectric transport,” Phys. Rev. B 98
2018
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A. Schiaffino, C. E. Dreyer, D. Vanderbilt, and M. Stengel, “Metric wave approach to flexoelectricity within density functional perturbation theory,” Phys. Rev. B 99
2019
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Y. Gao and D. Xiao, “Nonreciprocal directional dichroism induced by the quantum metric dipole,” Phys. Rev. Lett. 122
2019
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M. F. Lapa and T. L. Hughes, “Semiclassical wave packet dynamics in nonuniform electric fields,” Phys. Rev. B 99
2019
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2020
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