Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

7 RevTex pages, 9 figures with 10 figure files included, submitted to Physical Review B

Scientific paper

10.1103/PhysRevB.77.245117

We use a transfer-matrix method to study the disorder-induced metal-insulator transition. We take isotropic nearest- neighbor hopping and an onsite potential with uniformly distributed disorder. Following previous work done on the simple cubic lattice, we perform numerical calculations for the body centered cubic and face centered cubic lattices, which are more common in nature. We obtain the localization length from calculated Lyapunov exponents for different system sizes. This data is analyzed using finite-size scaling to find the critical parameters. We create an energy-disorder phase diagram for both lattice types, noting that it is symmetric about the band center for the body centered cubic lattice, but not for the face centered cubic lattice. We find a critical exponent of approximately 1.5-1.6 for both lattice types for transitions occurring either at fixed energy or at fixed disorder, agreeing with results previously obtained for other systems belonging to the same orthogonal universality class. We notice an increase in critical disorder with the number of nearest neighbors, which agrees with intuition.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices 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 Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-95266

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.