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
Hard core bosons on a square lattice Netanel Lindner, AA, D. Arovas, PRL 101, (2009) 1. Vortices have a light mass, vortex solid can melt into a Quantum Vortex Liquid at 0.006 vortices per site. 2. Hall conductivity (Magnus action) reverses sign at half filling, with an associated vanishing temperature scale. 3. Vortices at half filling carry local spin 1/2 doublets. (V-spins) 4. QCP at half filling
Bose Hubbard Model
- Page 1 and 2: AdS/CFT and Condensed Matter, Herak
- Page 3 and 4: Gross Pitaevskii theory Boson Coher
- Page 5 and 6: Vortex Interactions: 3D magnetostat
- Page 7 and 8: 1. Rotating BEC ‘s Realizations o
- Page 9 and 10: Magnus Force F V
- Page 11 and 12: Vortex Motion vorticity current V a
- Page 13 and 14: Semiclassical transport theory Semi
- Page 15 and 16: Vortex Tunneling in the continuum s
- Page 17: Dick Codor’s impression... Quantu
- Page 21 and 22: Properties of XXZ model superfluid
- Page 23 and 24: Escher, Day and Night, 1938
- Page 25 and 26: Extracting the vortex hopping rate
- Page 27 and 28: Quantum Melting Multivortex hamilto
- Page 29 and 30: Thermally averaged Chern numbers Ha
- Page 31 and 32: Vortex degeneracies Netanel acciden
- Page 33 and 34: charge distributions Phys Rev A 69
- Page 35: arXiv:0810.2604 : Summary Vortices
Hard core bos<strong>on</strong>s <strong>on</strong> a square<br />
lattice<br />
Netanel Lindner, AA, D. Arovas, PRL 101, (2009)<br />
1. Vortices have a light mass, vortex solid can melt into a<br />
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
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