Hall resistivity of granular metals
| dc.creator | Kharitonov, M. Yu. | |
| dc.creator | Efetov, K. B. | |
| dc.date | 2006-09-28 | |
| dc.date.accessioned | 2026-07-07T08:31:53Z | |
| dc.date.available | 2026-07-07T08:31:53Z | |
| dc.description | We calculate the Hall conductivity $\sig_{xy}$ and resistivity $ρ_{xy}$ of a granular system at large tunneling conductance $g_{T}\gg 1$. We show that in the absence of Coulomb interaction the Hall resistivity depends neither on the tunneling conductance nor on the intragrain disorder and is given by the classical formula $ρ_{xy}=H/(n^* e c)$, where $n^*$ differs from the carrier density $n$ inside the grains by a numerical coefficient determined by the shape of the grains. The Coulomb interaction gives rise to logarithmic in temperature $T$ correction to $ρ_{xy}$ in the range $\Ga \lesssim T \lesssim \min(g_T E_c,\ETh)$, where $\Ga$ is the tunneling escape rate, $E_c$ is the charging energy and $\ETh$ is the Thouless energy of the grain. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0609736 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0609736 | |
| dc.identifier | Phys. Rev. Lett. 99, 056803 (2007) | |
| dc.identifier | doi:10.1103/PhysRevLett.99.056803 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138634 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Hall resistivity of granular metals | |
| dc.type | text |