TY - JOUR

T1 - Particle Collisions and Negative Nonlocal Response of Ballistic Electrons

AU - Shytov, Andrey

AU - Kong, Jian Feng

AU - Falkovich, Gregory

AU - Levitov, Leonid

N1 - Publisher Copyright: © 2018 American Physical Society.

PY - 2018/10/26

Y1 - 2018/10/26

N2 - An electric field that builds in the direction against current, known as negative nonlocal resistance, arises naturally in viscous flows and is thus often taken as a telltale of this regime. Here, we predict negative resistance for the ballistic regime, wherein the ee collision mean free path is greater than the length scale at which the system is being probed. Therefore, negative resistance alone does not provide strong evidence for the occurrence of the hydrodynamic regime; it must thus be demoted from the rank of irrefutable evidence to that of a mere forerunner. Furthermore, we find that negative response is log enhanced in the ballistic regime by the physics related to the seminal Dorfman-Cohen log divergence due to memory effects in the kinetics of dilute gases. The ballistic regime therefore offers a unique setting for exploring these interesting effects due to electron interactions.

AB - An electric field that builds in the direction against current, known as negative nonlocal resistance, arises naturally in viscous flows and is thus often taken as a telltale of this regime. Here, we predict negative resistance for the ballistic regime, wherein the ee collision mean free path is greater than the length scale at which the system is being probed. Therefore, negative resistance alone does not provide strong evidence for the occurrence of the hydrodynamic regime; it must thus be demoted from the rank of irrefutable evidence to that of a mere forerunner. Furthermore, we find that negative response is log enhanced in the ballistic regime by the physics related to the seminal Dorfman-Cohen log divergence due to memory effects in the kinetics of dilute gases. The ballistic regime therefore offers a unique setting for exploring these interesting effects due to electron interactions.

KW - RESISTANCE

KW - GRAPHENE

KW - FLOW

UR - http://www.scopus.com/inward/record.url?scp=85055715122&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.121.176805

DO - 10.1103/PhysRevLett.121.176805

M3 - Article

C2 - 30411935

AN - SCOPUS:85055715122

VL - 121

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 17

M1 - 176805

ER -