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Localisation in topologically disordered systems
| Content Provider | Scilit |
|---|---|
| Author | Bauer, J. D. Logovinsky, V. Skinner, J. L. |
| Copyright Year | 1988 |
| Description | Journal: Journal of Physics C: Solid State Physics The authors study a one-electron tight-binding Hamiltonian with topological disorder using the novel concept of 'quantum connectivity'. The off-diagonal matrix elements are taken to be of the form J_{(ij)}=-V_{0}$e^{-r(ij)}$a(B)/, and J_{(ij)}=-V_{0}$(1+^{-4(ij)}$a(B)/) $e^{-r(ij)}$a(B)/, where $r_{ij}$ is the distance between the sites i and j, and the diagonal elements are all zero. In three dimensions the dimensionless parameter R=n^{1}$3/a_{B}$, where n is the concentration of sites, characterises the disorder. They find that an Anderson transition takes place at $R_{c}$=0.257+or-0.010 and $R_{c}$=0.220+or-0.026 for the two models respectively. They also calculate the correlation length exponents in each case, finding v=1.95+or-0.13 and v=1.63+or-0.17 respectively. In two dimensions they do not observe an Anderson transition. |
| Related Links | http://iopscience.iop.org/article/10.1088/0022-3719/21/29/002/pdf |
| ISSN | 00223719 |
| DOI | 10.1088/0022-3719/21/29/002 |
| Journal | Journal of Physics C: Solid State Physics |
| Issue Number | 29 |
| Volume Number | 21 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1988-10-20 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics C: Solid State Physics Condensed Matter Physics Three Dimensions Tight Binding Two Dimensions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy Condensed Matter Physics Engineering |
