Localization Characteristics of Relativistic vs Nonrelativistic Fermions on a Lattice

Details Localization Characteristics of Relativistic vs Nonrelativistic Fermions on a Lattice Localization Characteristics of Relativistic vs Nonrelativistic Fermions on a Lattice

2000-12-08

arxiv.org/abs/cond-mat/0012144v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

Relativistic fermions on a lattice are shown to correspond to the $fluctuations$ in the localized nonrelativistic fermions. Therefore, in contrast to nonrelativistic case, the relativistic fermions are critical with universal exponents described by the strong coupling limit of the nonrelativistic problem. The fluctuations also describe $anisotropic$ spin chain at the onset to {\it long range magnetic order} whose universality class is the Ising model. This generalizes the universality in spin models to include multifractal exponents. Finally, analogous to the nonrelativistic case, the relativistic fermions may exhibit ballistic character due to correlations.

Affiliated with

Also associated with

No associations

Rating

Localization Characteristics of Relativistic vs Nonrelativistic Fermions on a Lattice 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 Localization Characteristics of Relativistic vs Nonrelativistic Fermions on a Lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization Characteristics of Relativistic vs Nonrelativistic Fermions on a Lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-644948