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 - Localisation with phase correlations and the effect of periodic cycles
AU - Lambert, Colin
PY - 1984/5/10
Y1 - 1984/5/10
N2 - This paper examines anomalies that arise in the transport properties of a disordered solid. The anomalies are associated with the period-r>or=2 marginally stable cycles of a keyphase recurrence relation. Their presence is signalled by divergences in standard nondegenerate perturbation theory. A 'degenerate' perturbation theory is developed within which anomalies can be computed by expanding about the cycles of interest. The low-order anomalies at energies corresponding to r=2 and 3 are evaluated and a possible extension to a system with an incommensurate potential is discussed.
AB - This paper examines anomalies that arise in the transport properties of a disordered solid. The anomalies are associated with the period-r>or=2 marginally stable cycles of a keyphase recurrence relation. Their presence is signalled by divergences in standard nondegenerate perturbation theory. A 'degenerate' perturbation theory is developed within which anomalies can be computed by expanding about the cycles of interest. The low-order anomalies at energies corresponding to r=2 and 3 are evaluated and a possible extension to a system with an incommensurate potential is discussed.
U2 - 10.1088/0022-3719/17/13/021
DO - 10.1088/0022-3719/17/13/021
M3 - Journal article
VL - 17
SP - 2401
EP - 2414
JO - Journal of Physics C: Solid State Physics
JF - Journal of Physics C: Solid State Physics
SN - 0022-3719
IS - 13
ER -