Universal conductance fluctuations in non-integer dimensions
arXiv:cond-mat/0306064 · doi:10.1103/PhysRevB.69.033104
Abstract
We propose an Ansatz for Universal conductance fluctuations in continuous dimensions from 0 up to 4. The Ansatz agrees with known formulas for integer dimensions 1, 2 and 3, both for hard wall and periodic boundary conditions. The method is based solely on the knowledge of energy spectrum and standard assumptions. We also study numerically the conductance fluctuations in 4D Anderson model, depending on system size L and disorder W. We find a small plateau with a value diverging logarithmically with increasing L. Universality gets lost just in 4D.
4 pages, 4 figures submitted to Phys. Rev.B
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Cited by in corpus (5)
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- Intensity distribution of scalar waves propagating in random media
- Conductance and persistent current in quasi-one-dimensional systems with grain boundaries: Effects of the strongly reflecting and columnar grains
- Fermi energy sensitive universal conductance fluctuations in anisotropic materials