Relativistic magnetotransport in graphene, at quantum ... - ICTP
Relativistic magnetotransport in graphene, at quantum ... - ICTP
Relativistic magnetotransport in graphene, at quantum ... - ICTP
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Yes!<br />
<strong>Rel<strong>at</strong>ivistic</strong> hydrodynamics<br />
from microscopics<br />
Does rel<strong>at</strong>ivistic hydro really apply to <strong>graphene</strong><br />
even though Coulomb <strong>in</strong>teractions break rel<strong>at</strong>ivistic<br />
<strong>in</strong>variance?<br />
Key po<strong>in</strong>t: There is a zero (“momentum”) mode of the collision <strong>in</strong>tegral<br />
due to transl<strong>at</strong>ional <strong>in</strong>variance of the <strong>in</strong>teractions<br />
The dynamics of the zero mode under an AC driv<strong>in</strong>g field (coupl<strong>in</strong>g it to other<br />
modes) reproduces rel<strong>at</strong>ivistic hydrodynamics <strong>at</strong> low frequencies exactly.<br />
Condition: <strong>Rel<strong>at</strong>ivistic</strong>, weak-coupl<strong>in</strong>g quasiparticle picture applies
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