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2019

Nonlinear Hall Acceleration and the Quantum Rectification Sum Rule

Matsyshyn, O., Sodemann, I.

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Electrons moving in a Bloch band are known to acquire an anomalous Hall velocity proportional to the Berry curvature of the band which is responsible for the intrinsic linear Hall effect in materials with broken time-reversal symmetry.

Here, we demonstrate that there is also an anomalous correction to the electron acceleration which is proportional to the Berry curvature dipole and is responsible for the Nonlinear Hall effect recently discovered in materials with broken inversion symmetry.
This allows us to uncover a deeper meaning of the Berry curvature dipole as a nonlinear version of the Drude weight that serves as a measurable order parameter for broken inversion symmetry in metals.
We also derive a quantum rectification sum rule in time reversal invariant materials by showing that the integral over frequency of the rectification conductivity depends solely on the Berry connection and not on the band energies.

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S. Nandy and I. Sodemann, arXiv e-prints arXiv:1901.04467 (2019), eprint 1901.04467
Original
1901
Earlier work this paper cites.
O. O. Shvetsov, V. D. Esin, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov, arXiv e-prints arXiv:1902.02699 (2019), eprint 1902.02699
Original
1902
Earlier work this paper cites.
W.-Y. He and K. T. Law, arXiv e-prints arXiv:1902.02514 (2019), eprint 1902.02514
Original
1902
Earlier work this paper cites.
M. M. Jadidi, M. Kargarian, M. Mittendorff, Y. Aytac, B. Shen, J. C. König-Otto, S. Winnerl, N. Ni, A. L. Gaeta, and T. E. Murphy, arXiv e-prints arXiv:1905.02236 (2019), eprint 1905.02236
Original
1905
Earlier work this paper cites.
L. Duca, T. Li, M. Reitter, I. Bloch, M. Schleier-Smith, and U. Schneider, Science 347
Original
1907
Earlier work this paper cites.
E. Deyo, L. E. Golub, E. L. Ivchenko, and B. Spivak, arXiv e-prints arXiv:0904.1917 (2009), eprint 0904.1917
Original
1917
Earlier work this paper cites.
E. Blount, in Solid State Physics , edited by F. Seitz and D. Turnbull (Academic Press, New York, 1962), vol. 13, pp. 305–73
1962
Earlier work this paper cites.
R. D. King-Smith and D. Vanderbilt, Phys. Rev. B 47
1993
Earlier work this paper cites.
R. Resta, Rev. Mod. Phys. 66
1994
Earlier work this paper cites.
C. Aversa and J. E. Sipe, Phys. Rev. B 52
1995
Earlier work this paper cites.
J. E. Sipe and A. I. Shkrebtii, Phys. Rev. B 61
2000
Earlier work this paper cites.
D. Xiao, M. Chang, and Q. Niu, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
N. Nagaosa, J. Sinova, S. Onoda, A. H. MacDonald, and N. P. Ong, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
J. E. Moore and J. Orenstein, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
X. Qi, T. L. Hughes, and S. Zhang, Phys. Rev. B 81
2010
Earlier work this paper cites.
A. M. Essin, A. M. Turner, J. E. Moore, and D. Vanderbilt, Phys. Rev. B 81
2010
Earlier work this paper cites.

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