Upper Bounds on the Superfluid Stiffness of Disordered Systems

Details Upper Bounds on the Superfluid Stiffness of Disordered Systems Upper Bounds on the Superfluid Stiffness of Disordered Systems

1998-01-07

arxiv.org/abs/cond-mat/9801053v2

Phys. Rev. B, Vol. 57, 11639 (1998)

Physics

Condensed Matter

Superconductivity

13 pages (LaTex) + 6 postscript figures, minor LaTex problems corrected, Journal ref added

Scientific paper

10.1103/PhysRevB.57.11639

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 non-trivial 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.

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