Condensed Matter Theory

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A circle swimmer at low Reynolds number

(2012)

Authors:

Rodrigo Ledesma-Aguilar, Hartmut Loewen, Julia M Yeomans
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Easier sieving through narrower pores: fluctuations and barrier crossing in flow-driven polymer translocation

(2012)

Authors:

Rodrigo Ledesma-Aguilar, Takahiro Sakaue, Julia M Yeomans
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Featureless and non-fractionalized Mott insulators on the honeycomb lattice at 1/2 site filling

(2012)

Authors:

Itamar Kimchi, SA Parameswaran, Ari M Turner, Fa Wang, Ashvin Vishwanath
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Seeking the Road to Utopia

Psychological Inquiry Taylor & Francis 23:3 (2012) 261-262
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Fractional Chern insulators and the W ∞ algebra

Physical Review B - Condensed Matter and Materials Physics 85:24 (2012)

Authors:

SA Parameswaran, R Roy, SL Sondhi

Abstract:

A set of recent results indicates that fractionally filled bands of Chern insulators in two dimensions support fractional quantum Hall states analogous to those found in fractionally filled Landau levels. We provide an understanding of these results by examining the algebra of Chern band projected density operators. We find that this algebra closes at long wavelengths and for constant Berry curvature, whereupon it is isomorphic to the W ∞ algebra of lowest Landau level projected densities first identified by Girvin, MacDonald, and Platzman. For Hamiltonians projected to the Chern band this provides a route to replicating lowest Landau level physics on the lattice. © 2012 American Physical Society.
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