Order Parameter Description of the Anderson-Mott Transition

Details Order Parameter Description of the Anderson-Mott Transition Order Parameter Description of the Anderson-Mott Transition

1994-12-15

arxiv.org/abs/cond-mat/9412074v1

Physics

Condensed Matter

28pp., REVTeX, no figures

Scientific paper

10.1007/BF01320853

An order parameter description of the Anderson-Mott transition (AMT) is given. We first derive an order parameter field theory for the AMT, and then present a mean-field solution. It is shown that the mean-field critical exponents are exact above the upper critical dimension. Renormalization group methods are then used to show that a random-field like term is generated under renormalization. This leads to similarities between the AMT and random-field magnets, and to an upper critical dimension $d_{c}^{+}=6$ for the AMT. For $d<6$, an $\epsilon = 6-d$ expansion is used to calculate the critical exponents. To first order in $\epsilon$ they are found to coincide with the exponents for the random-field Ising model. We then discuss a general scaling theory for the AMT. Some well established scaling relations, such as Wegner's scaling law, are found to be modified due to random-field effects. New experiments are proposed to test for random-field aspects of the AMT.

Affiliated with

Also associated with

No associations

Rating

Order Parameter Description of the Anderson-Mott Transition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Order Parameter Description of the Anderson-Mott Transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Order Parameter Description of the Anderson-Mott Transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-138771