Interplay of Lorentz-Berry forces in position-momentum spaces for valley-dependent impurity scattering in α-T3 lattices

Danhong Huang, Andrii Iurov, Hong Ya Xu, Ying-Cheng Lai, Godfrey Gumbs

Research output: Contribution to journalArticle

Abstract

The Berry-phase mediated valley-selected skew scattering in α-T3 lattices is demonstrated. The interplay of Lorentz and Berry forces in position and momentum spaces is revealed and analyzed. Many-body screening of the electron-impurity interaction is taken into account to avoid overestimation of back and skew scattering of electrons in the system. Triplet peak from skew interactions at two valleys is found in near-vertical and near-horizontal forward- and backward-scattering directions for small Berry phases and low magnetic fields. Magnetic-field dependence in both nonequilibrium and thermal-equilibrium currents is also presented for valley-dependent longitudinal and transverse transports mediated by a Berry phase. Mathematically, two Boltzmann moment equations are employed for computing scattering-angle distributions of nonequilibrium skew currents by using microscopic inverse energy- and momentum-relaxation times. Meanwhile, a valley-dependent unbalanced thermal-equilibrium anomalous Hall current induced by the Berry force in momentum space, due to different mobilities for two valleys, is also computed for comparisons.

Original languageEnglish (US)
Article number245412
JournalPhysical Review B
Volume99
Issue number24
DOIs
StatePublished - Jun 17 2019

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Lorentz force
valleys
Momentum
Scattering
Impurities
momentum
impurities
scattering
Magnetic fields
Electrons
Induced currents
Hall currents
Relaxation time
Screening
magnetic fields
electrons
screening
relaxation time
interactions
moments

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Interplay of Lorentz-Berry forces in position-momentum spaces for valley-dependent impurity scattering in α-T3 lattices. / Huang, Danhong; Iurov, Andrii; Xu, Hong Ya; Lai, Ying-Cheng; Gumbs, Godfrey.

In: Physical Review B, Vol. 99, No. 24, 245412, 17.06.2019.

Research output: Contribution to journalArticle

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