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Directed current in the Holstein system.

D Hennig¹, A D Burbanks, A H Osbaldestin

¹Department of Mathematics, University of Portsmouth, Portsmouth PO13HF, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 27, 2011

Summary

This summary is machine-generated.

We found a way to direct charge transport using localized polaron states and asymmetric potentials. This method enables directed current in periodic lattices, even with time-reversible equations.

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Area of Science:

Condensed Matter Physics
Quantum Mechanics
Materials Science

Background:

The semiclassical Holstein model describes charge transport in materials.
Achieving directed charge transport often requires breaking symmetry or applying external fields.
Understanding the fundamental conditions for rectification is crucial for electronic devices.

Purpose of the Study:

To propose a novel mechanism for rectifying charge transport within the semiclassical Holstein model.
To identify the minimal prerequisites for generating a directed current in periodic lattice systems.
To demonstrate the emergence of long-range coherent charge transport.

Main Methods:

Utilizing localized initial conditions, specifically kicked static polaron states.
Investigating the role of static electron on-site potentials lacking inversion symmetry.
Analyzing the time reversibility of equations of motion and trajectory behavior.

Main Results:

Localized polaron solutions combined with asymmetric potentials are sufficient for directed current.
Violation of parity in initial conditions prevents counterpropagating trajectories, enabling net current.
Propagating polaron solutions arising from localized initial conditions exhibit non-time reversibility, leading to current emergence.
Demonstrated occurrence of long-range coherent charge transport.

Conclusions:

A mechanism for rectifying charge transport has been established in the semiclassical Holstein model.
Asymmetric potentials and localized initial conditions are key to achieving directed current.
The findings pave the way for novel charge transport control in condensed matter systems.