Siddharth Parameswaran: Publications

Bionic Coulomb phase on the pyrochlore lattice

Physical Review B American Physical Society (APS) 86:5 (2012) 054411

Authors:

V Khemani, R Moessner, SA Parameswaran, SL Sondhi

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

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 91̽�� 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.

Fractional Chern insulators and the W∞ algebra

Physical Review B American Physical Society (APS) 85:24 (2012) 241308

Authors:

SA Parameswaran, R Roy, SL Sondhi

Typology for quantum Hall liquids

Physical Review B American Physical Society (APS) 85:24 (2012) 241307

Authors:

SA Parameswaran, SA Kivelson, EH Rezayi, SH Simon, SL Sondhi, BZ Spivak

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