Lattice Effects on Interacting Bosons and their Vortex Dynamics
Lattice Effects on Interacting Bosons and their Vortex Dynamics Lattice Effects on Interacting Bosons and their Vortex Dynamics
Charge-Vortex duality in transport 1. Charge transport equation 2. Vortices transport equation Magnus field on a vortex Vortex Induced stress field vortex conductivity = charge resistivity
Semiclassical transport theory Semiclassical (smooth potential) dynamics, without tunneling: a. Vortices follow equipotential contours: b. With no potential, vortices ‘Go with the Flow’ and the Hall resistance (by Galiliean symmetry) is ‘classical’: EF H V
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Semiclassical transport theory<br />
Semiclassical (smooth potential) dynamics, without tunneling:<br />
a. Vortices follow equipotential c<strong>on</strong>tours:<br />
b. With no potential, vortices ‘Go with the Flow’<br />
<strong>and</strong> the Hall resistance (by Galiliean symmetry) is ‘classical’:<br />
EF<br />
H<br />
V
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