Distribution function of the local density of states of a one-channel weakly disordered ring in an external magnetic field

Article

关键词: NORMAL-METAL RINGS;    ELECTRON-ELECTRON INTERACTIONS;    ONE-DIMENSIONAL METAL;    PERSISTENT CURRENTS;    MESOSCOPIC RINGS;    DYNAMIC-RESPONSE;    QUANTUM OSCILLATIONS;    COULOMB INTERACTION;    CONDUCTIVITY;    FLUCTUATIONS;   

DOI  :  10.1103/PhysRevB.62.2401

来源: SCIE

【 摘 要 】

A real space diagrammatic method, which is an extension of the Berezinskii technique to problems with periodic boundary condition, is formulated to study the density of states (DOS) rho(epsilon, phi) and its moments for a one-channel weakly disordered ring threaded by an external magnetic flux phi. The exact result obtained for the average value of the DOS shows that rho(epsilon, phi) oscillates with a period of the flux quantum phi(0) = hc/e. However, all higher moments of the DOS oscillate with the halved period phi(0)/2. The exact expression for the DOS is valid for both weak localization (L much greater than l, where L is the ring's circumference and l is the mean free path) and ballistic (L much less than l) regimes. In the weak localization regime the distribution function of the DOS is calculated, which turns out to be of logarithmic normal form.

【 授权许可】

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