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1995•Communications in Theoretical PhysicsOpen access

The Periodicity of Persistent Currents in Mesoscopic Rings

Jian‐Xin Zhu, Z.D. Wang, Chang-De Gong

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Abstract

In a tight-binding model, we find that the equation of the Green's function in a one-dimensional mesoscopic ring threaded by a Aharonov–Bohm (AB) flux can be exactly solved. From the poles of the Green's function, the eigenvalues are obtained and are periodic in the AB flux with period . However, the periodicity of the persistent currents is determined by the number of electrons in the ring.

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In a tight-binding model, we find that the equation of the Green's function in a one-dimensional mesoscopic ring threaded by a Aharonov–Bohm (AB) flux can be exactly solved. From the poles of the Green's function, the eigenvalues are obtained and are periodic in the AB flux with period . However, the periodicity of the persistent currents is determined by the number of electrons in the ring.

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Available abstract

In a tight-binding model, we find that the equation of the Green's function in a one-dimensional mesoscopic ring threaded by a Aharonov–Bohm (AB) flux can be exactly solved. From the poles of the Green's function, the eigenvalues are obtained and are periodic in the AB flux with period . However, the periodicity of the persistent currents is determined by the number of electrons in the ring.

Key concepts: Mesoscopic physics, Persistent current, Physics, Eigenvalues and eigenvectors, Ring (chemistry), Flux (metallurgy), Electron, Period (music)

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