Interaction effects in 2D electron gas in a random magnetic field: Implications for composite fermions and quantum critical point
| dc.creator | Sedrakyan, T. A. | |
| dc.creator | Raikh, M. E. | |
| dc.date | 2007-12-05 | |
| dc.date | 2008-03-30 | |
| dc.date.accessioned | 2026-07-07T09:28:57Z | |
| dc.date.available | 2026-07-07T09:28:57Z | |
| dc.description | We consider a clean two-dimensional interacting electron gas subject to a random perpendicular magnetic field, h({\bf r}). The field is nonquantizing, in the sense, that {\cal N}_h-a typical flux into the area λ_{\text{\tiny F}}^2 in the units of the flux quantum (λ_{\text{\tiny F}} is the de Broglie wavelength) is small, {\cal N}_h\ll 1. If the spacial scale, ξ, of change of h({\bf r}) is much larger than λ_{\text{\tiny F}}, the electrons move along semiclassical trajectories. We demonstrate that a weak field-induced curving of the trajectories affects the interaction-induced electron lifetime in a singular fashion: it gives rise to the correction to the lifetime with a very sharp energy dependence. The correction persists within the interval ω\sim ω_0= E_{\text{\tiny F}}{\cal N}_h^{2/3} much smaller than the Fermi energy, E_{\text{\tiny F}}. It emerges in the third order in the interaction strength; the underlying physics is that a small phase volume \sim (ω/E_{\text{\tiny F}})^{1/2} for scattering processes, involving {\em two} electron-hole pairs, is suppressed by curving. Even more surprising effect that we find is that {\em disorder-averaged} interaction correction to the density of states, δν(ω), exhibits {\em oscillatory} behavior, periodic in \bigl(ω/ω_0\bigr)^{3/2}. In our calculations of interaction corrections random field is incorporated via the phases of the Green functions in the coordinate space. We discuss the relevance of the new low-energy scale for realizations of a smooth random field in composite fermions and in disordered phase of spin-fermion model of ferromagnetic quantum criticality. | |
| dc.description | 32 pages, 15 figures, Revtex | |
| dc.identifier | https://arxiv.org/abs/0712.0825 | |
| dc.identifier | http://arxiv.org/abs/0712.0825 | |
| dc.identifier | Phys. Rev. B 77, 115353 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.77.115353 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157611 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Interaction effects in 2D electron gas in a random magnetic field: Implications for composite fermions and quantum critical point | |
| dc.type | text |