From Bloch Oscillations to a Steady-State Current in Strongly Biased Mesoscopic Devices

Abstract

It has long been known that quantum particles moving in a periodic lattice and subject to a constant force field undergo an oscillatory motion that is referred to as Bloch Oscillations (BOs). However, it is also known that, under quite general conditions, a biased mesoscopic system connected to leads should settle in a steady-state regime characterized by a constant electric current (described by the Landauer formula). Since both effects are driven by a constant field, these two quantum transport phenomena appear to be at odds with each other. Here, we solve this apparent contradiction by theoretically demonstrating that BOs can actually be observed in biased two-terminal mesoscopic devices as a transient phenomenon, which relaxes for long times to a steady-state current that agrees with the Landauer formula. Furthermore, we also combine analytical and numerical time-evolution results for a one-dimensional tight-binding model of a biased two-terminal mesoscopic system, in order to characterize the decay times of the transient BOs and establish the conditions under which they can occur.

13 pages + 12 Figures. Submitted to Physical Reviews B (PRB)

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Cited by in corpus (5)

• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Electron-mediated entanglement of two distant macroscopic ferromagnets within a nonequilibrium spintronic device
• Giant rectification in strongly-interacting driven tilted systems
• Unambiguous Simulation of Diffusive Charge Transport in Disordered Nanoribbons
• The confluence of fractured resonances at points of dynamical, many--body flare