Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Probability distributions of Wigner delay times.
AU - Burbridge, C R
AU - Lambert, C J
PY - 1996
Y1 - 1996
N2 - We present results for the probability distribution of Wigner delay times of a two-dimensional disordered solid, described by a tight-binding Anderson model with diagonal disorder W. Using a numerical transfer matrix approach to yield the scattering matrix s of a finite width lattice, the delay time tau(ij) associated with scattering between two channels i,j is proportional to the energy-derivative of the phase of the s -matrix element s(ij). Positive delay times signify that the particle travels through the system more slowly than for, a perfectly clean system. For large positive tau, the probability distribution P(tau) varies as tau(-alpha), whereas for large negative tau it varies as \tau\(-beta) For ballistic systems where disorder W is small, we find beta approximate to 2 while alpha approximate to 4. With increasing W, the values of beta remain approximately constant, whereas alpha decreases, until for the largest values of W, where the system becomes Anderson localised, alpha approximate to beta approximate to 2.
AB - We present results for the probability distribution of Wigner delay times of a two-dimensional disordered solid, described by a tight-binding Anderson model with diagonal disorder W. Using a numerical transfer matrix approach to yield the scattering matrix s of a finite width lattice, the delay time tau(ij) associated with scattering between two channels i,j is proportional to the energy-derivative of the phase of the s -matrix element s(ij). Positive delay times signify that the particle travels through the system more slowly than for, a perfectly clean system. For large positive tau, the probability distribution P(tau) varies as tau(-alpha), whereas for large negative tau it varies as \tau\(-beta) For ballistic systems where disorder W is small, we find beta approximate to 2 while alpha approximate to 4. With increasing W, the values of beta remain approximately constant, whereas alpha decreases, until for the largest values of W, where the system becomes Anderson localised, alpha approximate to beta approximate to 2.
U2 - 10.1007/BF02570232
DO - 10.1007/BF02570232
M3 - Journal article
VL - 46
SP - 2491
EP - 2492
JO - Czechoslovak Journal of Physics
JF - Czechoslovak Journal of Physics
SN - 0011-4626
IS - s5
ER -