The Effect of Magnetic Field on the Density of States of Two-Dimensional Disordered Systems

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We study the effect of finite magnetic field on the density of states (DOS) in a two-dimensional disordered system. Corrections to the DOS come from the interplay of the mutual interaction and the inpurity-induced particle-hole (PH) and particle-particle (PP) correlations. The field suppresses the corrections through the cyclotron motion of electrons and the spin Zeeman splitting. For the field applied perpendicularly to the System the PP correlation is first destroyed by the effect of the cyclotron motion in the field range H<__~H_0=1/2Deτ, where D=ε_Fτ/m is the diffusion constant, and then the anti-parallel spin PH correlation is suppressed due to the Zeeman splitting in the range H_0<__~H<__~H_s=1/2μτ, where μ is the effective Bohr magneton of electrons. Only the parallel spin PH correlation survives in the range H>__~H_s. For the field applied in parallel with the system there is no effect of the cyclotron motion, and the anti-parallel spin PH and PP correlations are suppressed due to the Zeeman splitting, as H_s is approached. We formulate and examine the above processes in the case of the DOS, obtaining a few interesting results.
理論物理学刊行会の論文
1982-03-25