Variable-range hopping in 2D quasi-1D electronic systems
| dc.creator | Teber, Sofian | |
| dc.date | 2004-04-20 | |
| dc.date | 2006-04-13 | |
| dc.date.accessioned | 2026-07-07T06:36:32Z | |
| dc.date.available | 2026-07-07T06:36:32Z | |
| dc.description | A semi-phenomenological theory of variable-range hopping (VRH) is developed for two-dimensional (2D) quasi-one-dimensional (quasi-1D) systems such as arrays of quantum wires in the Wigner crystal regime. The theory follows the phenomenology of Efros, Mott and Shklovskii allied with microscopic arguments. We first derive the Coulomb gap in the single-particle density of states, $g(ε)$, where $ε$ is the energy of the charge excitation. We then derive the main exponential dependence of the electron conductivity in the linear (L), {\it i.e.} $σ(T) \sim \exp[-(T_L/T)^{γ_L}]$, and current in the non-linear (NL), {\it i.e.} $j({\mathcal E}) \sim \exp[-({\mathcal E}_{NL} / \mathcal{E})^{γ_{NL}}]$, response regimes (${\mathcal E}$ is the applied electric field). Due to the strong anisotropy of the system and its peculiar dielectric properties we show that unusual, with respect to known results, Coulomb gaps open followed by unusual VRH laws, {\it i.e.} with respect to the disorder-dependence of $T_L$ and ${\mathcal E}_{NL}$ and the values of $γ_L$ and $γ_{NL}$. | |
| dc.description | (v2) Entirely re-written (some notations changed, new presentation and new structure). Part on the Wigner crystal taken off for short. Minor changes in results. 16 RevTex4 pages, 5 figures. (v3) Published version | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0404449 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0404449 | |
| dc.identifier | The European Physical Journal B - Condensed Matter, Volume 49, Issue 3, Feb 2006, Pages 289-304 | |
| dc.identifier | doi:10.1140/epjb/e2006-00078-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100114 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Variable-range hopping in 2D quasi-1D electronic systems | |
| dc.type | text |