Renormalization Group for Large N Strongly Commensurate Dirty Boson Model

Details Renormalization Group for Large N Strongly Commensurate Dirty Boson Model Renormalization Group for Large N Strongly Commensurate Dirty Boson Model

1998-09-18

arxiv.org/abs/cond-mat/9809244v2

Phys.Rev. B60 (1999) 9755

Physics

Condensed Matter

Statistical Mechanics

16 pages, 4 figures, to be published in PRB

Scientific paper

10.1103/PhysRevB.60.9755

The large N sigma model, in D<4 space-time dimensions, with disorder a function of d space dimensions, is analyzed via a renormalization group treatment. Critical exponents for average quantities are calculated, first to lowest order and then to all orders, in $\epsilon=D-2 - d/2$. In particular, it is found that $\nu d =2$. When D=d+1, this model is equivalent to a large N limit of the strongly commensurate dirty boson problem.

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