Negative effective mass transition and anomalous transport in power-law hopping bands
| dc.creator | Akhanjee, Shimul | |
| dc.date | 2009-01-22 | |
| dc.date.accessioned | 2026-07-07T13:10:44Z | |
| dc.date.available | 2026-07-07T13:10:44Z | |
| dc.description | We study the stability of spinless Fermions with power law hopping $H_{ij} \propto |i - j|^{-α}$. It is shown that at precisely $α_c =2$, the dispersive inflection point coalesces with the band minimum and the charge carriers exhibit a transition into negative effective mass regime, $m_α^* < 0$ characterized by retarded transport in the presence of an electric field. Moreover, bands with $α< 2$ must be accompanied by counter-carriers with $m_α^* > 0$, having a positive band curvature, thus stabilizing the system in order to maintain equilibrium conditions and a proper electrical response. We further examine the semi-classical transport and response properties, finding an infrared divergent conductivity for 1/r hopping($α=1$). The analysis is generalized to regular lattices in dimensions $d$ = 1, 2, and 3. | |
| dc.description | 6 pages. 2 figures | |
| dc.identifier | https://arxiv.org/abs/0901.3420 | |
| dc.identifier | http://arxiv.org/abs/0901.3420 | |
| dc.identifier | Phys. Rev. B 79, 205101 (2009) | |
| dc.identifier | doi:10.1103/PhysRevB.79.205101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229083 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Negative effective mass transition and anomalous transport in power-law hopping bands | |
| dc.type | text |