Local density of states in mesoscopic samples from scanning gate microscopy - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2008

Local density of states in mesoscopic samples from scanning gate microscopy

Résumé

We study the relationship between the local density of states (LDOS) and the conductance variation $\Delta G$ in scanning-gate-microscopy experiments on mesoscopic structures as a charged tip scans above the sample surface. We present an analytical model showing that in the linear-response regime the conductance shift $\Delta G$ is proportional to the Hilbert transform of the LDOS and hence a generalized Kramers-Kronig relation holds between LDOS and $\Delta G$. We analyze the physical conditions for the validity of this relationship both for one-dimensional and two-dimensional systems when several channels contribute to the transport. We focus on realistic Aharonov-Bohm rings including a random distribution of impurities and analyze the LDOS-$\Delta G$ correspondence by means of exact numerical simulations, when localized states or semi-classical orbits characterize the wavefunction of the system.

Dates et versions

hal-00193195 , version 1 (01-12-2007)

Identifiants

Citer

M. G. Pala, B. Hackens, F. Martins, Hermann Sellier, V. Bayot, et al.. Local density of states in mesoscopic samples from scanning gate microscopy. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2008, 77, pp.125310. ⟨10.1103/PhysRevB.77.125310⟩. ⟨hal-00193195⟩
92 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More