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Dimensionality expansion for the dirty-boson problem

Weichman, Peter B. and Kim, Kihong (1989) Dimensionality expansion for the dirty-boson problem. Physical Review B, 40 (1). pp. 813-816. ISSN 0163-1829. doi:10.1103/PhysRevB.40.813.

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We apply the double-dimensionality expansion of Dorogovstev to derive renormalization-group recursion relations for a Bose fluid in a random external potential. We find a nontrivial zero-temperature fixed point. The onset of mean-field behavior for dimensions d>dc=4 is unconventional, yielding discontinuous exponents, consistent with previous scaling arguments. Including positive temperatures, we give a clear picture of various crossover regimes, depending on the strength of the disorder and the boson density. This answers previous questions about the behavior of 4He adsorbed in Vycor glass.

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Additional Information:©1989 The American Physical Society Received 19 December 1988 We are indebted to M.C. Cross, D.S. Fisher, and M.P.A. Fisher for useful discussions. Financial support from the Weingart Foundation through Caltech and the National Science Foundation through Grant No. DMR-8412543 is gratefully acknowledged. One of us (P.B.W.) enjoyed the hospitality of the Aspen Center for Physics during the early stages of this work.
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Deposited On:17 Dec 2006
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