Your search for ""D J. Thouless"" returned 122 results

It is shown that the dislocation theory of melting gives a value for the melting temperature of a two-dimensional electron solid that is in good agreement with the value obtained in the molecular dynamics calculations of Hockney and Brown (1975).

It is shown that the Ginzburg-Landau free energy used in a recent paper by Da Silva and Rivier (ibid., vol.10, p.L719, 1977) to describe mixed magnets or spin glasses does not have an inhomogeneous solution as its absolute minimum.

Recent claims that for the Lloyd model in arbitrarily many dimensions electrons are always localised are shown to be ill founded.

It is shown that a complete set of localised Wannier functions which form a representation of the magnetic translation group in two dimensions can be constructed if and only if the sub-band carries no Hall current.

A proof is sketched for the conjecture for a system of noninteracting electrons in a random lattice, that where the ensemble average of the Green function has an analytic continuation across the real axis, the integrated density of states converges to an analytic function as the size of the system is increased, with probability unity.

It is shown that the distance of exponential localization of a normal mode in a disordered one-dimensional system can be identified with the mean free path for backward scattering, provided that the disorder is weak, so that the mean free path is long.

The data from the numerical experiment in two-dimensional random lattices by the authors is used to provide evidence that the states expand like (E_c-E)^{- eta} with eta >1 near the mobility edge.

The result for the quantised charge transport induced by an adiabatically varying substrate potential is generalised to the case in which both substrate disorder and many-body interaction are present. The application of our theory to the problem of the integral and fractional quantised Hall effect is discussed.

The integral over transverse momentum which occurs in the perturbation expansion for fluctuation free energy of a type II superconductor near H_C2 is evaluated. It is found to be inversely proportional to the number of Euler paths round the corresponding Feynman diagram.