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arXiv:cond-mat/9801053 · Physical review. B, Condensed matter

Upper bounds on the superfluid stiffness of disordered systems

Arun Paramekanti, Nandini Trivedi, Mohit Randeria

Published May 1, 1998• 39 citations
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Abstract

We derive several upper bounds for the superfluid stiffness ${D}_{s}$ for Bose and Fermi systems in terms of expectation values of local operators using linear response theory and variational methods. These give insight into the nontrivial dependence of ${D}_{s}$ on parameters such as disorder and interaction in systems with broken continuous translational invariance. Our best variational bound for disordered systems is obtained by allowing the phase twist applied at the boundary to be distributed inhomogeneously within the system. Path integral quantum Monte Carlo simulations are used to quantitatively compare the bounds and ${D}_{s}$ for disordered interacting Bose systems.

DOI
10.1103/physrevb.57.11639

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