Coulomb gap and tunnelling conductance in one-dimensional and two-dimensional systems

Quantum Coulomb gap in low dimensions

“…Then, one can conclude that the shape of the DOS close enough to the Fermi energy should not change. This picture agrees with the experimental results on tunneling conductance [8,9], although the relation between the DOS and the tunneling conductance is not yet fully understood [10]. We want to emphasize that this argument does not seem to depend on the dimensionality of the system and the same behavior may be expected for any dimension.…”

Thermodynamics and Transport Properties of Interacting Systems with Localized Electrons

“…The main tool for a quantitative study of the Coulomb gap is the computer simulation [6][7][8][9][10][11][12][13][14], which mostly confirm the above results on the DS. However, some deviations from the universal behavior have been reported [9,13] and even the main concept has been equivocal [15].…”

“…The single-particle energies εi have the reference point at the Fermi level µ εi ¢ ε ¡ µ¥ (11) The functional H should be minimized with respect to simultaneous changes of any amount of occupation numbers n i . It is easy to see that the change of one occupation number gives the condition n i ¢ 0 if εi 0 and n i ¢ 1 if εi § 0, which is equivalent to the regular definition of the Fermi level µ in a non-interacting Fermi gas.…”

Electron transport in the plasmonic regime: Silver nanoparticles in ZnO matrix

“…Changes in the inter‐grain or grain‐boundary region in the system would also contribute a considerable amount to disorder. In such a disordered system, long‐range Coulomb interaction would play a dominant role in the electron transport processes and hence, localized states and a “Coulomb gap” could be conceived in the fundamental gap region of the low dimensional disordered system .…”