Berezinskii Approach to Disordered Spin Systems with Asymmetric Scattering and Application to the Quantum Boomerang Effect
J. Janareka, N. Cherroretb, D. Delandeb
aInstytut Fizyki Teoretycznej, Uniwersytet Jagielloński, Łojasiewicza 11, PL-30-348 Kraków, Poland
bLaboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France
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We extend the Berezinskii diagrammatic technique to one-dimensional disordered spin systems, in which time-reversal invariance is broken due to a spin-orbit coupling term inducing left-right asymmetric scattering. We then use this formalism to theoretically describe the dynamics of the quantum boomerang effect, a recently discovered manifestation of Anderson localization. The theoretical results are confirmed by exact numerical simulations of wave-packet dynamics in a random potential.

DOI:10.12693/APhysPolA.144.429
topics: Anderson localization, disorder scattering, spin-orbit coupling, quantum wave packets