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Lattice Effects on Interacting Bosons and their Vortex Dynamics

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arXiv:0810.2604 :<br />

Summary<br />

Vortices <strong>on</strong> 2D lattices (hard core bos<strong>on</strong>s limit)<br />

1. Have a light mass, vortex solid can melt into a<br />

unc<strong>on</strong>densed Quantum <strong>Vortex</strong> Liquid at 0.006 vortices per site.<br />

2. Hall c<strong>on</strong>ductivity (Magnus acti<strong>on</strong>) reverses sign at half filling,<br />

with an associated vanishing temperature scale.<br />

3. Vortices at half filling carry local spin 1/2 doublets. (V-spins)<br />

4. QCP at half filling<br />

QVL (metal)<br />

B<br />

CDW<br />

(insulator)<br />

<strong>Vortex</strong> solid (superfluid)<br />

1<br />

t/V

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