Nonperturbative topological current in Weyl and Dirac semimetals in laser fields

被引:18
作者
Dantas, Renato M. A. [1 ,2 ]
Wang, Zhe [3 ,4 ]
Surowka, Piotr [1 ,2 ,5 ]
Oka, Takashi [1 ,6 ,7 ]
机构
[1] Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany
[2] Wurzburg Dresden Cluster Excellence Ctqmat, D-01187 Dresden, Germany
[3] Univ Cologne, Inst Phys 2, D-50937 Cologne, Germany
[4] Tech Univ Dortmund, Fak Phys, D-44227 Dortmund, Germany
[5] Wroclaw Univ Sci & Technol, Dept Theoret Phys, PL-50370 Wroclaw, Poland
[6] Univ Tokyo, Inst Solid State Phys, Kashiwa, Chiba 2778581, Japan
[7] Max Planck Inst Chem Phys Solids, D-01187 Dresden, Germany
关键词
NEUTRINOS; ABSENCE; LATTICE;
D O I
10.1103/PhysRevB.103.L201105
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study nonperturbatively the anomalous Hall current and its high harmonics generated in Weyl and Dirac semimetals by strong elliptically polarized laser fields in the context of kinetic theory. We find a crossover between perturbative and nonperturbative regimes characterized by the electric field strength epsilon* = mu omega/2evF (omega, laser frequency; mu, Fermi energy; v(F), Fermi velocity). In the perturbative regime, the anomalous Hall current depends quadratically on the field strength (epsilon), whereas the higher-order corrections, as well as high harmonics, vanish at zero temperature. In the nonperturbative regime, the anomalous Hall current saturates and decays as (ln epsilon)/epsilon, while even-order high harmonics are generated when in-plane rotational symmetry is broken. Based on the analytical solution of the Boltzmann equation, we reveal the topological origin of the sharp crossover: the Weyl monopole stays inside or moves outside of the Fermi sphere, respectively, during its fictitious motion in the perturbative or nonperturbative regimes. Our findings establish a nonlinear response intrinsically connected to topology, characteristic of Weyl and Dirac semimetals.
引用
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页数:6
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