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CATEGORIES:Theory of Condensed Matter
SUMMARY:Hall Viscosity in Quantum Systems with Discrete Sy
mmetry - Barry Bradlyn\, University of Illinois at
Urbana-Champaign
DTSTART;TZID=Europe/London:20200625T160000
DTEND;TZID=Europe/London:20200625T170000
UID:TALK149764AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/149764
DESCRIPTION:From the stagnant flow of honey to the drag forces
on a ball in air\, nature provides many examples
of viscosity\, which dissipates power and slows th
ings down. In some exotic classical and quantum fl
uids\, there are also "Hall" viscosities\, compone
nts of viscosity that do not dissipate power\, ins
tead providing forces transverse to fluid motion.
However\, the standard approach to hydrodynamics a
ssumes rotational symmetry\, which is absent in ma
ny electron fluids. In this talk\, we examine the
non-dissipative Hall viscosity in systems with bot
h discrete symmetry (translational & rotational) a
nd internal degrees of freedom. We first examine t
he rotational symmetry breaking components of the
Hall viscosity in systems with point group symmetr
y\, with a focus on the hydrodynamic implications
of the resulting forces. We find that though there
are generally six Hall viscosities\, there are on
ly three independent contributions to the viscous
force density. To compute these coefficients\, we
develop a framework to consistently define the lo
ng-wavelength stress and viscosity tensors for mul
ti-component lattice and continuum systems\, empha
sizing the importance of internal angular momentum
. We conclude by applying our formalism to several
example topological systems both on the lattice a
nd in the continuum.
LOCATION:Details of video conferencing will be distributed
nearer the time.
CONTACT:Jan Behrends
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