Ballistic and hydrodynamic magnetotransport in narrow channels

Tobias Holder, Raquel Queiroz, Thomas Scaffidi, Navot Silberstein, Asaf Rozen, Joseph A. Sulpizio, Lior Ella, Shahal Ilani, Ady Stern

Research output: Contribution to journalArticlepeer-review


An increasing number of low carrier density materials exhibit a surprisingly large transport mean-free path due to inefficient momentum relaxation. Consequently, charge transport in these systems is markedly non-Ohmic but rather ballistic or hydrodynamic, features which can be explored by driving current through narrow channels. Using a kinetic equation approach, we theoretically investigate how a nonquantizing magnetic field discerns ballistic and hydrodynamic transport, in particular in the spatial dependence of the transverse electric field Ey: we find that Ey is locally enhanced when the flow exhibits a sharp directional anisotropy in the nonequilibrium density. As a consequence, at weak magnetic fields, the curvature of Ey has opposite signs in the ballistic and hydrodynamic regimes. Moreover, we find a robust signature of the onset of nonlocal correlations in the form of distinctive peaks of the transverse field, which are accessible by local measurements. Our results demonstrate that a purely hydrodynamic approach is insufficient in the Gurzhi regime once a magnetic field is introduced.

Original languageEnglish
Article number245305
Number of pages15
JournalPhysical Review B
Issue number24
StatePublished - 23 Dec 2019

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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