Numerical studies on the Anderson localization problem

1982 ◽  
Vol 49 (3) ◽  
pp. 199-208 ◽  
Author(s):  
U. Krey ◽  
W. Maa� ◽  
J. Stein
Keyword(s):  
Anderson Localization ◽  
Localization Problem ◽  
Numerical Studies

scholarly journals LOCALIZATION IN TWO-DIMENSIONAL SU(2) LATTICE GAUGE THEORY AND A NEW MULTIGRID METHOD

1995 ◽  
Vol 06 (01) ◽  
pp. 85-104 ◽  
Author(s):  
M. BÄKER
Keyword(s):  
Anderson Localization ◽  
Periodic Boundary ◽  
Multigrid Method ◽  
Lattice Gauge Theory ◽  
Periodic Boundary Conditions ◽  
Two Dimensional ◽  
Localization Problem ◽  
Multigrid Algorithm ◽  
Slowing Down ◽  
Lattice Gauge

We show numerically that the lowest eigenmodes of the two-dimensional Laplace operator with SU(2) gauge couplings and periodic boundary conditions are strongly localized. A connection is drawn to the Anderson localization problem. A new multigrid algorithm, capable of dealing with these modes, shows no critical slowing down for this problem independent of the disorder.

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